{"id":591,"date":"2022-08-19T05:45:47","date_gmt":"2022-08-19T05:45:47","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=591"},"modified":"2024-02-21T06:50:10","modified_gmt":"2024-02-21T06:50:10","slug":"ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-12-ratio-and-proportion-ex-12-3\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.3"},"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 12.3 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-12-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 12.1<\/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-12-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 12.2<\/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; 12.3<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. If the cost of 7 m of cloth is \u20b9 1470, find the cost of 5 m of cloth.<\/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 7 m cloth = \u20b9 1470<br \/>\nCost of 1 m cloth = \u20b9 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1470}{7}\" alt=\"\\frac{1470}{7}\" align=\"absmiddle\" \/> = \u20b9 210<br \/>\nSo, cost of 5 cloth = 210 \u00d7 5 = 1050<br \/>\n\u2234 Cost of 5 m cloth is \u20b9 1050<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Ekta earns \u20b9 3000 in 10 days. How much will she earn in 30 days?<\/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;\">Money earned by Ekta in 10 days = \u20b9 3000<br \/>\nMoney earned in one day by her = \u20b9 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3000}{10}\" alt=\"\\frac{3000}{10}\" align=\"absmiddle\" \/> = \u20b9 300<br \/>\nSo, money earned by her in 30 days = 300 \u00d7 30 = \u20b9 9000<br \/>\nThus the money earned by Ekta in 30 days = \u20b94500.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. If it has rained 276 mm in the last 3 days, how many cm of rain will fall in one full week (7 days)? Assume that the rain continues to fall at the same rate.<\/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;\">Measure of rain in 3 days = 276 mm<br \/>\nMeasure of rain in one day = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{276}{3}\" alt=\"\\frac{276}{3}\" align=\"absmiddle\" \/> mm = 92 mm<br \/>\nSo, measure of rain in one week i.e 7 days = 92 \u00d7 7 = 644 mm<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{644}{10}\" alt=\"\\frac{644}{10}\" align=\"absmiddle\" \/> \u00a0= 64.4 cm<br \/>\nThus, the amount of rain fall in week = 64.4 cm.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Cost of 5 kg of wheat is \u20b9 91.50.<br \/>\n<\/strong>(a) What will be the cost of 8 kg of wheat?<br \/>\n(b) What quantity of wheat can be purchased in \u20b9 183?<\/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> Cost of 5 kg wheat = \u20b9 91.50<br \/>\nCost of 1 kg wheat = \u20b9 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{91.50}{5}\" alt=\"\\frac{91.50}{5}\" align=\"absmiddle\" \/> \u00a0= \u20b9 18.3<br \/>\nSo, cost of 8 kg wheat = 18.3 \u00d7 8<br \/>\n= \u20b9 146.40<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> Wheat purchased in \u20b9 91.50 = 5 kg<br \/>\nWheat purchased in \u20b9 1 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{91.50}\" alt=\"\\frac{5}{91.50}\" align=\"absmiddle\" \/> kg<br \/>\nSo, wheat purchased in \u20b9 183 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{91.50}\" alt=\"\\frac{5}{91.50}\" align=\"absmiddle\" \/> \u00d7 183 = 10 kg<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. The temperature dropped 15 degree celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?<\/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;\">Temperature drop in 30 days = 15<sup>0<\/sup>\u00a0C<br \/>\nTemperature drop in 1 day = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15}{30}\" alt=\"\\frac{15}{30}\" align=\"absmiddle\" \/> <sup>0<\/sup> C\u00a0= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> <sup>0<\/sup>\u00a0C<br \/>\nSo, temperature drop in next 10 days = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> \u00d7 10 <sup>0<\/sup> C\u00a0\u00a0= 5<sup>0<\/sup>\u00a0C<br \/>\n\u2234 The temperature drop in the next 10 days will be 5<sup>0<\/sup>\u00a0C<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6. Shaina pays \u20b9 15000 as rent for 3 months. How much does she has to pay for a whole year, if the rent per month remains same?<\/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;\">Rent paid by Shaina in 3 months = \u20b9 15000<br \/>\nRent for 1 month = \u20b9 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15000}{3}\" alt=\"\\frac{15000}{3}\" align=\"absmiddle\" \/> <strong>=\u00a0<\/strong>\u20b9 5000<br \/>\nSo, rent for 12 months i.e 1 year = \u20b9 5000 \u00d7 12 <strong>=\u00a0<\/strong>\u20b9 60,000<br \/>\n\u2234 Rent paid by Shaina in 1 year is \u20b9 60,000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>7. Cost of 4 dozen bananas is \u20b9 180. How many bananas can be purchased for \u20b9 90?<\/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 bananas bought in\u20b9 180 = 4 dozens = 4 \u00d7 12 = 48 bananas<br \/>\nNumber of bananas bought in \u20b9 1 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{48}{180}\" alt=\"\\frac{48}{180}\" align=\"absmiddle\" \/><br \/>\nSo, number of bananas bought in \u20b9 90 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{48}{180}\" alt=\"\\frac{48}{180}\" align=\"absmiddle\" \/><strong>\u00a0\u00d7<\/strong> 90\u00a0= 24 bananas<br \/>\n\u2234 24 bananas can be purchased in \u20b9 90<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>8. The weight of 72 books is 9 kg. What is the weight of 40 such books?<\/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;\">Weight of 72 books = 9 kg<br \/>\nWeight of 1 book = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{72}&amp;space;=&amp;space;\\frac{1}{8}\" alt=\"\\frac{9}{72} = \\frac{1}{8}\" align=\"absmiddle\" \/> kg<br \/>\nSo, weight of 40 books = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{8}\" alt=\"\\frac{1}{8}\" align=\"absmiddle\" \/> \u00d7 40 = 5 kg<br \/>\n\u2234 Weight of 40 books is 5 kg<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>9. A truck requires 108 litres of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?<\/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;\">Diesel required for 594 km = 108 litres<br \/>\nDiesel required for 1 km = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{108}{594}\" alt=\"\\frac{108}{594}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{11}\" alt=\"\\frac{2}{11}\" align=\"absmiddle\" \/> litre<br \/>\nSo, diesel required for 1650 km = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{11}\" alt=\"\\frac{2}{11}\" align=\"absmiddle\" \/> \u00d7 1650 = 300 litres<br \/>\n\u2234 Diesel required by the truck to cover a distance of 1650 km is 300 litres<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>10. Raju purchases 10 pens for \u20b9 150 and Manish buys 7 pens for \u20b9 84. Can you say who got the pens cheaper?<\/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;\">Pens purchased by Raju in \u20b9 150 = 10 pens<br \/>\nCost of 1 pen = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{150}{10}\" alt=\"\\frac{150}{10}\" align=\"absmiddle\" \/> = \u20b9 15<br \/>\nPens purchased by Manish in \u20b9 84 = 7 pens<br \/>\nCost of 1 pen = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{84}{7}\" alt=\"\\frac{84}{7}\" align=\"absmiddle\" \/> \u00a0= \u20b9 12<br \/>\n\u2234 Pens purchased by Manish are cheaper than Raju<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>11. Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made more runs per over?<\/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;\">Runs made by Anish in 6 overs = 42<br \/>\nRuns made by Anish in 1 over = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{42}{6}\" alt=\"\\frac{42}{6}\" align=\"absmiddle\" \/> = 7<br \/>\nRuns made by Anup in 7 overs = 63<br \/>\nRuns made by Anup in 1 over = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{63}{7}\" alt=\"\\frac{63}{7}\" align=\"absmiddle\" \/> = 9<br \/>\n\u2234 Anup scored more runs than Anish.<\/span><\/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 12.3 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-591","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 v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.3 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 12 Ratio and Proportion Exercise 12.3 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-12-3\/\" \/>\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 12.3\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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