{"id":3254,"date":"2022-12-08T11:48:20","date_gmt":"2022-12-08T11:48:20","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3254"},"modified":"2023-01-31T06:53:23","modified_gmt":"2023-01-31T06:53:23","slug":"ncert-solutions-class-8-maths-chapter-8-comparing-quantities-ex-8-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-8-comparing-quantities-ex-8-1\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 8 Comparing Quantities Ex 8.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 8 (Comparing Quantities)\u00a0<\/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 8 Mathematics <strong>Chapter &#8211; 8 Comparing Quantities <\/strong>Exercise 8.1 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><strong>Chapter 8: Comparing Quantities<\/strong><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-8-comparing-quantities-ex-8-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 8.2<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-8-comparing-quantities-ex-8-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 8.3<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 8.1\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Find the ratio of the following:<br \/>\n<\/strong><strong>(a)<\/strong> Speed of a cycle 15 km per hour to the speed of a scooter 30 km per hour.<br \/>\n<strong>(b)<\/strong> 5 m to 10 km<br \/>\n<strong>(c)<\/strong> 50 paise to \u20b95<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(a) <\/strong>Speed of a cycle = 15 km\/hr<\/span><br \/>\n<span style=\"color: #000000;\">Speed of a scooter = 30 km\/hr<\/span><br \/>\n<span style=\"color: #000000;\">Speed of cycle : Speed of scooter = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15}{30}&amp;space;=&amp;space;\\frac{1}{2}\" alt=\"\\frac{15}{30} = \\frac{1}{2}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000;\">Thus, the ratio is 1 : 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b)<\/strong> Since 1 km = 1000 m<br \/>\nTherefore, 10 km = 10 \u00d7 1000 = 10000 m<\/span><br \/>\n<span style=\"color: #000000;\">5 m to 10 km = 5 m to 10000 m = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10000}&amp;space;=&amp;space;\\frac{1}{2000}\" alt=\"\\frac{5}{10000} = \\frac{1}{2000}\" align=\"absmiddle\" \/>\u00a0<\/span><br \/>\n<span style=\"color: #000000;\">Thus, the ratio is 1 : 2000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(c)<\/strong> Since, \u20b91 = 100 paise<br \/>\n\u20b9 5 = 5 \u00d7 100 paise = 500 paise<\/span><br \/>\n<span style=\"color: #000000;\">50 paise to Rs 5 = 50 paise to 500 paise = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{50}{500}&amp;space;=&amp;space;\\frac{1}{10}\" alt=\"\\frac{50}{500} = \\frac{1}{10}\" align=\"absmiddle\" \/>\u00a0<\/span><br \/>\n<span style=\"color: #000000;\">Thus, the ratio is 1 : 10<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Convert the following ratio to percentages:<br \/>\n<\/strong><strong>(a)<\/strong> 3 : 4\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(b)<\/strong>\u00a02 : 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(a) 3 : 4<\/strong> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> \u00d7 100% = 75%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) 2 : 3<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> x 100% = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{200}{3}%\" alt=\"\\frac{200}{3}%\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?66\\frac{2}{3}%\" alt=\"66\\frac{2}{3}%\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. 72% of 25 students are good in mathematics. How many are not good in mathematics?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Total number of students = 25<br \/>\nStudents good in mathematics = 72%<br \/>\n\u2234 Students who are not good in mathematics = (100 \u2013 72) % = 28%<br \/>\n\u2234 Number of those students who are not good in mathematics = 28% of 25<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{28}{100}\\times&amp;space;25\" alt=\"\\frac{28}{100}\\times 25\" align=\"absmiddle\" \/> = 7<br \/>\nTherefore, 7 students are not good in mathematics.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Let the total number of matches played by the team be x.<br \/>\nGiven that the team won 10 matches and the winning percentage of the team was 40%.<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{40}{100}\" alt=\"\\frac{40}{100}\" align=\"absmiddle\" \/> \u00d7 x = 10<br \/>\n40 x = 10 \u00d7 100<br \/>\n40 x = 1000<br \/>\nx = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1000}{40}\" alt=\"\\frac{1000}{40}\" align=\"absmiddle\" \/> \u00a0= 25<br \/>\nTherefore, the team played 25 matches.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. If Chameli had \u20b9600 left after spending 75% of her money, how much did she have in the beginning?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;\u00a0<\/strong>Let the amount of money which Chameli had, in the beginning, be x<br \/>\nGiven that, after spending 75% of \u20b9x, she was left with \u20b9600<br \/>\nSo, (100 \u2013 75)% of x = \u20b9600<br \/>\nOr, 25% of x = \u20b9600<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{100}\" alt=\"\\frac{25}{100}\" align=\"absmiddle\" \/> \u00d7 x = \u20b9600<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/> x = \u20b9600 <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">x = \u20b9600 \u00d7 4<br \/>\n= \u20b92400<br \/>\nTherefore, Chameli had \u20b92400 in the beginning.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. If 60% of people in the city like cricket, 30% like football and the remaining like other games, then what per cent of the people like other games? If the total number of people is 50 lakhs, find the exact number who like each type of game.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Percentage of people who like other games = (100 \u2013 60 \u2013 30)%<br \/>\n= (100 \u2013 90)%<br \/>\n= 10%<br \/>\nTotal number of people = 50 lakhs<br \/>\nSo,<br \/>\nNumber of people who like cricket = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{60}{100}\" alt=\"\\frac{60}{100}\" align=\"absmiddle\" \/> x 50 = 30 lakhs<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Number of people who like football = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{30}{100}\" alt=\"\\frac{30}{100}\" align=\"absmiddle\" \/> x 50 = 15 lakhs <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Number of people who like other games = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{100}\" alt=\"\\frac{10}{100}\" align=\"absmiddle\" \/> x 50 = 5 lakhs<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 8 (Comparing Quantities)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 8 Comparing Quantities Exercise 8.1 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 8: Comparing Quantities NCERT Solution Class 8 Maths Ex &#8211; 8.2 NCERT [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[458,459,445,5],"class_list":["post-3254","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-8-comparing-quantities-in-english","tag-ncert-solutions-class-8-maths-chapter-8-in-english","tag-ncert-solutions-class-8-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 8 Maths Chapter 8 Comparing Quantities Ex 8.1 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 8 (Comparing Quantities)\u00a0The NCERT Solutions in English Language for Class 8 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