{"id":588,"date":"2022-08-19T05:45:29","date_gmt":"2022-08-19T05:45:29","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=588"},"modified":"2024-02-21T06:35:24","modified_gmt":"2024-02-21T06:35:24","slug":"ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 12 (Ratio and Proportion)<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 6 Mathematics <strong>Chapter &#8211; 12 Ratio and Proportion <\/strong>Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-12\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_12_Ratio_and_Proportion\" style=\"color: #000000;\">Chapter 12: Ratio and Proportion<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 12.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 12.3<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 12.1<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. There are 20 girls and 15 boys in a class.<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) What is the ratio of the number of girls to the number of boys?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) What is the ratio of the number of girls to the number of students in the class?<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> Number of girls = 20 <\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Number of boys = 15<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Ratio of the number of girls to the number of boys = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}\" alt=\"\\frac{(Number of girls)}{(Number of boys)}\" align=\"absmiddle\" \/><br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20}{15}&amp;space;=&amp;space;\\frac{20\\div5}{15\\div5}\" alt=\"\\frac{20}{15} = \\frac{20\\div5}{15\\div5}\" align=\"absmiddle\" \/> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?=&amp;space;\\frac{4}{3}\" alt=\"= \\frac{4}{3}\" align=\"absmiddle\" \/> or 4 : 3<br \/>\n<\/span><span style=\"color: #000000;\">Thus, the required ratio is 4 : 3.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Ratio of the number of girls to the number of students<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Total number of students = 20 + 15 = 35<br \/>\n<\/span><span style=\"color: #000000;\">\u2234\u00a0 Ratio of the number of girls to the number of students = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(Number&amp;space;of&amp;space;girls)}{(Total&amp;space;Number&amp;space;of&amp;space;student)}\" alt=\"\\frac{(Number of girls)}{(Total Number of student)}\" align=\"absmiddle\" \/><br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20}{35}&amp;space;=&amp;space;\\frac{20\\div5}{35\\div5}&amp;space;=&amp;space;\\frac{4}{7}\" alt=\"\\frac{20}{35} = \\frac{20\\div5}{35\\div5} = \\frac{4}{7}\" align=\"absmiddle\" \/> or 4 : 7<br \/>\n<\/span><span style=\"color: #000000;\">Thus, the required ratio is 4 : 7.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-625 alignright\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q2.png\" alt=\"NCERT Class 6 Math Solution\" width=\"359\" height=\"197\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q2.png 359w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q2-300x165.png 300w\" sizes=\"auto, (max-width: 359px) 100vw, 359px\" \/><\/strong>(a) Number of students liking football to the number of students liking tennis.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Number of students liking cricket to total number of students.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of students in the class = 30<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of students liking football = 6<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of students liking cricket = 12<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of students liking tennis = 30 \u2013 (6 + 12) = 30 \u2013 18 = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) Ratio of the number of the students liking football to the number of students liking tennis.<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-595\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q2A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"224\" height=\"90\" \/><br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{12}&amp;space;=&amp;space;\\frac{6\\div6}{12\\div}&amp;space;=&amp;space;\\frac{1}{2}\" alt=\"\\frac{6}{12} = \\frac{6\\div6}{12\\div} = \\frac{1}{2}\" align=\"absmiddle\" \/><br \/>\n<\/span><span style=\"color: #000000;\">Thus, the required ratio is 1 : 2.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(b) Ratio of the number of students liking cricket to the total number of students<br \/>\n<\/span><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-596\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q2B.png\" alt=\"NCERT Class 6 Math Solution\" width=\"226\" height=\"71\" \/><br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{30}&amp;space;=&amp;space;\\frac{12\\div6}{30\\div6}&amp;space;=&amp;space;\\frac{2}{5}\" alt=\"\\frac{12}{30} = \\frac{12\\div6}{30\\div6} = \\frac{2}{5}\" align=\"absmiddle\" \/><br \/>\n<\/span><span style=\"color: #000000;\">Thus, the required ratio is 2 : 5.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. See the figure and find the ratio of<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-626 alignright\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q3.png\" alt=\"NCERT Class 6 Math Solution\" width=\"285\" height=\"152\" \/><\/strong>(\u0430) Number of triangles to the number of circles inside the rectangle.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Number of squares to all the figures inside the rectangle.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) Number of circles to all the figures inside the rectangle.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> Number of triangles = 3 <\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Number of circles = 2<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Ratio of number of triangles to the number of circles <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-599\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q3A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"170\" height=\"47\" \/><br \/>\n<\/span><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?=\\frac{3}{2}\" alt=\"=\\frac{3}{2}\" align=\"absmiddle\" \/> or 3 : 2<br \/>\n<\/span><span style=\"color: #000000;\">Thus, the required ratio is 3 : 2.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Number of squares = 2<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Number of all figures = 7<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Ratio of number of squares to the number of all the figures <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-598\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q3b.png\" alt=\"NCERT Class 6 Math Solution\" width=\"214\" height=\"47\" \/><br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{7}\" alt=\"\\frac{2}{7}\" align=\"absmiddle\" \/> or 2 : 7<br \/>\n<\/span><span style=\"color: #000000;\">Thus, the required ratio is 2 : 7.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(c) Ratio of number of circles to the number of all the figures = <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-597\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q3c.png\" alt=\"NCERT Class 6 Math Solution\" width=\"221\" height=\"48\" \/><br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{7}\" alt=\"\\frac{2}{7}\" align=\"absmiddle\" \/> or 2 : 7<br \/>\n<\/span><span style=\"color: #000000;\">Thus, the required ratio is 2 : 7.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Distance travelled by Hamid = 9 km.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Distance travelled by Akhtar = 12 km.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Speed of Hamid = 9 km per hour<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Speed of Akhtar = 12 km per hour<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Ratio of speed of Hamid to the speed of Akhtar = <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-600\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q4.png\" alt=\"NCERT Class 6 Math Solution\" width=\"145\" height=\"43\" \/><br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{12}&amp;space;=&amp;space;\\frac{9\\div3}{12\\div3}&amp;space;=&amp;space;\\frac{3}{4}\" alt=\"\\frac{9}{12} = \\frac{9\\div3}{12\\div3} = \\frac{3}{4}\" align=\"absmiddle\" \/> or 3 : 4<br \/>\n<\/span><span style=\"color: #000000;\">Thus, the required ratio is 3 : 4.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Fill in the following blanks :<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-601\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q6.png\" alt=\"NCERT Class 6 Math Solution\" width=\"154\" height=\"52\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q6.png 154w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q6-150x52.png 150w\" sizes=\"auto, (max-width: 154px) 100vw, 154px\" \/>[Are these equivalent ratios?]<strong><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution :<br \/>\n<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-602\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q5a.png\" alt=\"NCERT Class 6 Math Solution\" width=\"332\" height=\"450\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q5a.png 332w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q5a-221x300.png 221w\" sizes=\"auto, (max-width: 332px) 100vw, 332px\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Now the fractions, we have<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-603\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q5b.png\" alt=\"NCERT Class 6 Math Solution\" width=\"400\" height=\"224\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q5b.png 400w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q5b-300x168.png 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6. Find the ratio of the following:<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) 81 to 108<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) 98 to 63<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) 33 km to 121 km<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) 30 minutes to 45 minutes<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-604\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q6a.png\" alt=\"NCERT Class 6 Math Solution\" width=\"337\" height=\"345\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q6a.png 337w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q6a-293x300.png 293w\" sizes=\"auto, (max-width: 337px) 100vw, 337px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>7. Find the ratio of the following:<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) 30 minutes to 1.5 hours<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) 40 cm to 1.5 m<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) 55 paise to \u20b9 1<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) 500 mL to 2 litres<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> 1 hour = 60 minutes<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 1.5 hours = 60 x 1.5 minutes = 90 minutes<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Ratio of 30 minutes to 1.5 hours = Ratio of 30 minutes to 90 minutes<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-605\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q7a.png\" alt=\"NCERT Class 6 Math Solution\" width=\"314\" height=\"64\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q7a.png 314w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q7a-300x61.png 300w\" sizes=\"auto, (max-width: 314px) 100vw, 314px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> 1 m = 100 cm<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 1.5 m = 1.5 x 100 cm = 150 cm.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Ratio of 40 cm to 1.5 m = Ratio of 40 cm to 150 cm.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-606\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q7b.png\" alt=\"NCERT Class 6 Math Solution\" width=\"277\" height=\"67\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> \u20b91 = 100 paise<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Ratio of 55 paise to \u20b9 1 = Ratio of 55 paise to 100 paise<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-607\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q7c.png\" alt=\"NCERT Class 6 Math Solution\" width=\"287\" height=\"63\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)<\/strong> 500 mL to 2 litres<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">1 litre = 1000 mL<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 2 litres = 2 x 1000 mL = 2000 mL<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Ratio of 500 mL to 2 litres = Ratio of 500 mL to 2000 mL.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-608\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q7d.png\" alt=\"NCERT Class 6 Math Solution\" width=\"309\" height=\"66\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q7d.png 309w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q7d-300x64.png 300w\" sizes=\"auto, (max-width: 309px) 100vw, 309px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>8. In a year, Seema earns \u20b9 1,50,000 and saves \u20b9 50,000. Find the ratio of<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) Money that Seema earns to the money she saves.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Money that she saves to the money she spends.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> Money earned by Seema = \u20b9 1,50,000 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Money saved by her = \u20b9 50,000<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Money spent by her = \u20b9 1,50,000 \u2013 \u20b9 50,000 = \u20b9 1,00,000<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Ratio of money earned by Seema to the money saved by her\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-609\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q8A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"222\" height=\"87\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> Ratio of money saved by Seema to the money.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-610\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q8B.png\" alt=\"NCERT Class 6 Math Solution\" width=\"283\" height=\"91\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>9. There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of teachers = 102<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of students = 3300<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Ratio of number of teachers to the number of students\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-611\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q9.png\" alt=\"NCERT Class 6 Math Solution\" width=\"264\" height=\"97\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>10. In a college, out of 4320 students, 2300 are girls, find the ratio of<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(\u0430) Number of girls to the total number of students.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Number of boys to the number of girls.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) Number of boys to the total number of students.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Total number of students = 4320 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of girls = 2300 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Number of boys = 4320 \u2013 2300 = 2020<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> Ratio of number of girls to the total number of students\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-612\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q10A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"297\" height=\"118\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> Ratio of number of boys to the number of girls<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-613\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q10B.png\" alt=\"NCERT Class 6 Math Solution\" width=\"297\" height=\"119\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> Ratio of number of boys to the total number of students<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-614\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q10C.png\" alt=\"NCERT Class 6 Math Solution\" width=\"300\" height=\"143\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>11. Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(\u0430) Number of students who opted basketball to the number of students who opted table tennis.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Number of students who opted cricket to the number of students opting basketball.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) Number of students who opted basketball to the total number of students.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Total number of students = 1800<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of students opting basketball = 750<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of students who opted cricket = 800<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Number of remaining students who opted table tennis = 1800 \u2013 (750 + 800) = 1800 \u2013 1550 = 250<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(\u0430)<\/strong> Ratio of number of students who opted basketball to the number of students who opted table tennis.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-615\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"316\" height=\"161\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11A.png 316w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11A-300x153.png 300w\" sizes=\"auto, (max-width: 316px) 100vw, 316px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> Ratio of number of students who opted cricket to the number of students opting basketball.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-616\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11B.png\" alt=\"NCERT Class 6 Math Solution\" width=\"312\" height=\"156\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11B.png 312w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11B-300x150.png 300w\" sizes=\"auto, (max-width: 312px) 100vw, 312px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> Ratio of number of students who opted basketball to the total number of students.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-617\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11C.png\" alt=\"NCERT Class 6 Math Solution\" width=\"314\" height=\"129\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11C.png 314w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q11C-300x123.png 300w\" sizes=\"auto, (max-width: 314px) 100vw, 314px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>12. Cost of a dozen pens is \u20b9 180 and cost of 8 ball pens is \u20b9 56. Find the ratio of the cost of a pen to the cost of a ball pen.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Cost of a dozen pens<strong>\u00a0=\u00a0<\/strong>\u20b9 180<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Cost of 1 pen = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{180}{12}\" alt=\"\\frac{180}{12}\" align=\"absmiddle\" \/> =\u00a0 \u20b9 15<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Cost of 8 ball pens = \u20b9 56<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Cost of 1 ball pen = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{56}{8}\" alt=\"\\frac{56}{8}\" align=\"absmiddle\" \/> = \u20b9 7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Ratio of cost of 1 pen to cost of 1 ball pen\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-618\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q12.png\" alt=\"NCERT Class 6 Math Solution\" width=\"252\" height=\"44\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Thus required ratio is 15 : 7.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>13. Consider the statement: Ratio of breadth and length of a hall is 2: 5. Complete the following table that shows some possible breadths and lengths of the hall.<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Breadth of the hall (in metres)<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">10<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">[\u00a0 ]<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">40<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Length of the hall (in metres)<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">25<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">50<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">[\u00a0 ]<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">We have <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{25}&amp;space;=&amp;space;\\frac{10\\div5}{25\\div5}&amp;space;=&amp;space;\\frac{2}{5}\" alt=\"\\frac{10}{25} = \\frac{10\\div5}{25\\div5} = \\frac{2}{5}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 ratio = 2 : 5<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-619\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q13.png\" alt=\"NCERT Class 6 Math Solution\" width=\"338\" height=\"285\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q13.png 338w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q13-300x253.png 300w\" sizes=\"auto, (max-width: 338px) 100vw, 338px\" \/><\/span><\/p>\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Breadth of the hall (in metres)<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">10<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>20<\/strong><\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">40<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Length of the hall (in metres)<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">25<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\">50<\/span><\/td>\n<td><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>100<\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>14. Divide 20 pens between Sheela and Sangeeta in the ratio of 3: 2.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Terms of 3 : 2 = 3 and 2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Sum of these terms = 3 + 2 = 5<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Sheela\u2019s share = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/> x 20 = 3 x 4 = 12 pens.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Sangeeta\u2019s shares = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> x 20 = 2 x 4 = 8 pens.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Thus Sheela gets 12 pens and Sangeeta gets 8 pens.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>15.\u00a0 Mother wants to divide \u20b9 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Solutions :<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Given that: <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Money got by Shreya : Money got by Bhoomika = 15 : 12<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Sum = 15 + 12 = 27<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-620\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q15.png\" alt=\"NCERT Class 6 Math Solution\" width=\"277\" height=\"83\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>16. Present age of father is 42 years and that of his son is 14 years. Find the ratio of<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) Present age of father to the present age of son.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Age of the father to the age of son, when son was 12 years old.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) Age of father after 10 years to the age of son after 10 years.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) Age of father to the age of son when father was 30 years old.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Present age of father = 42 years.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Present age of his son = 14 years.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> Ratio of present age of father to the present age of son<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-621\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q16A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"277\" height=\"65\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> When son was 12 years old, i.e., 14 \u2013 12 = 2 years ago father\u2019s age = 42 \u2013 2 = 40 years.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Ratio of the father\u2019s age to the son\u2019s age\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-622\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q16B.png\" alt=\"NCERT Class 6 Math Solution\" width=\"309\" height=\"61\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q16B.png 309w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q16B-300x59.png 300w\" sizes=\"auto, (max-width: 309px) 100vw, 309px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> Ratio of father\u2019s age after 10 years, i.e., 42 + 10 = 52 years<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">to the age of son after 10 years, i.e., = 14 + 10 = 24 years<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-624\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q16C.png\" alt=\"NCERT Class 6 Math Solution\" width=\"198\" height=\"39\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)<\/strong> Ratio of the son\u2019s age to the age of father when he was only 30 years .<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">When father was 30 years,<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">i.e., before 42 \u2013 30 = 12 years<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Age of son was = 14 \u2013 12 = 2 years<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Required ratio\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-623\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-12.1Q16D.png\" alt=\"NCERT Class 6 Math Solution\" width=\"203\" height=\"38\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 12 (Ratio and Proportion) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 12 Ratio and Proportion Exercise 12.1 has been provided here to help the students in solving the questions from this exercise. Chapter 12: Ratio and Proportion NCERT Solution Class 6 Maths Exercise [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[27,28,4,5],"class_list":["post-588","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-12-ratio-and-proportion-in-english","tag-ncert-solutions-class-6-maths-chapter-12-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 12 Ratio and Proportion Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 12 Ratio and Proportion Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/\" \/>\n<meta property=\"og:site_name\" content=\"TheExamPillar NCERT\" \/>\n<meta property=\"article:published_time\" content=\"2022-08-19T05:45:29+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-02-21T06:35:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/latex.codecogs.com\/gif.latex?frac(Number&amp;space;of&amp;space;girls)(Number&amp;space;of&amp;space;boys)\" \/>\n<meta name=\"author\" content=\"Admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@exampillar\" \/>\n<meta name=\"twitter:site\" content=\"@exampillar\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"17 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/\"},\"author\":{\"name\":\"Admin\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"headline\":\"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1\",\"datePublished\":\"2022-08-19T05:45:29+00:00\",\"dateModified\":\"2024-02-21T06:35:24+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/\"},\"wordCount\":1321,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"image\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/latex.codecogs.com\\\/gif.latex?\\\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}\",\"keywords\":[\"Chapter 12 Ratio and Proportion in English\",\"NCERT Solutions Class 6 Maths Chapter 12 in english\",\"NCERT Solutions Class 6 Maths in English\",\"NCERT Solutions in English\"],\"articleSection\":[\"Class 6 Maths\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/\",\"name\":\"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1 | TheExamPillar NCERT\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/latex.codecogs.com\\\/gif.latex?\\\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}\",\"datePublished\":\"2022-08-19T05:45:29+00:00\",\"dateModified\":\"2024-02-21T06:35:24+00:00\",\"description\":\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 12 Ratio and Proportion Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/#primaryimage\",\"url\":\"https:\\\/\\\/latex.codecogs.com\\\/gif.latex?\\\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}\",\"contentUrl\":\"https:\\\/\\\/latex.codecogs.com\\\/gif.latex?\\\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#website\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/\",\"name\":\"TheExamPillar NCERT\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"alternateName\":\"NCERT Solution\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\",\"name\":\"Admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"contentUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"width\":512,\"height\":512,\"caption\":\"Admin\"},\"logo\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\"},\"sameAs\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\"],\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/author\\\/ncert_eng_vikram\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1 | TheExamPillar NCERT","description":"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 12 Ratio and Proportion Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1","og_description":"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 12 Ratio and Proportion Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.","og_url":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/","og_site_name":"TheExamPillar NCERT","article_published_time":"2022-08-19T05:45:29+00:00","article_modified_time":"2024-02-21T06:35:24+00:00","og_image":[{"url":"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}","type":"","width":"","height":""}],"author":"Admin","twitter_card":"summary_large_image","twitter_creator":"@exampillar","twitter_site":"@exampillar","twitter_misc":{"Written by":"Admin","Est. reading time":"17 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/#article","isPartOf":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/"},"author":{"name":"Admin","@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"headline":"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1","datePublished":"2022-08-19T05:45:29+00:00","dateModified":"2024-02-21T06:35:24+00:00","mainEntityOfPage":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/"},"wordCount":1321,"commentCount":0,"publisher":{"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"image":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/#primaryimage"},"thumbnailUrl":"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}","keywords":["Chapter 12 Ratio and Proportion in English","NCERT Solutions Class 6 Maths Chapter 12 in english","NCERT Solutions Class 6 Maths in English","NCERT Solutions in English"],"articleSection":["Class 6 Maths"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/","url":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/","name":"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1 | TheExamPillar NCERT","isPartOf":{"@id":"https:\/\/theexampillar.com\/ncert\/#website"},"primaryImageOfPage":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/#primaryimage"},"image":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/#primaryimage"},"thumbnailUrl":"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}","datePublished":"2022-08-19T05:45:29+00:00","dateModified":"2024-02-21T06:35:24+00:00","description":"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 12 Ratio and Proportion Exercise 12.1 has been provided here to help the students in solving the questions from this exercise.","breadcrumb":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/#primaryimage","url":"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}","contentUrl":"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(Number&amp;space;of&amp;space;girls)}{(Number&amp;space;of&amp;space;boys)}"},{"@type":"BreadcrumbList","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-1\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/theexampillar.com\/ncert\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1"}]},{"@type":"WebSite","@id":"https:\/\/theexampillar.com\/ncert\/#website","url":"https:\/\/theexampillar.com\/ncert\/","name":"TheExamPillar NCERT","description":"","publisher":{"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"alternateName":"NCERT Solution","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/theexampillar.com\/ncert\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":["Person","Organization"],"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1","name":"Admin","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","contentUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","width":512,"height":512,"caption":"Admin"},"logo":{"@id":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png"},"sameAs":["https:\/\/theexampillar.com\/ncert"],"url":"https:\/\/theexampillar.com\/ncert\/author\/ncert_eng_vikram\/"}]}},"_links":{"self":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/588","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/comments?post=588"}],"version-history":[{"count":8,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/588\/revisions"}],"predecessor-version":[{"id":7551,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/588\/revisions\/7551"}],"wp:attachment":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/media?parent=588"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/categories?post=588"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/tags?post=588"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}