{"id":2017,"date":"2022-11-07T04:11:11","date_gmt":"2022-11-07T04:11:11","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2017"},"modified":"2022-11-07T04:11:11","modified_gmt":"2022-11-07T04:11:11","slug":"ncert-solutions-class-7-maths-chapter-8-comparing-quantities-ex-8-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-8-comparing-quantities-ex-8-2\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 8 Comparing Quantities Ex 8.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 8 (Comparing Quantities)<\/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 7 Mathematics <strong>Chapter &#8211; 8 Comparing Quantities <\/strong>Exercise 8.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 8 Comparing Quantities<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-8-comparing-quantities-ex-8-1\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 8.1<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-8-comparing-quantities-ex-8-3\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 8.3<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 8.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Convert the given fractional numbers to percent.<br \/>\n<\/strong><strong>(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{8}}\" alt=\"\\mathbf{\\frac{1}{8}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{4}}\" alt=\"\\mathbf{\\frac{5}{4}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{40}}\" alt=\"\\mathbf{\\frac{3}{40}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{7}}\" alt=\"\\mathbf{\\frac{2}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{8}}\" alt=\"\\mathbf{\\frac{1}{8}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>In order to convert a fraction into a percentage multiply the fraction by 100 and put the percent sign %.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{8}\" alt=\"\\frac{1}{8}\" align=\"absmiddle\" \/> \u00d7 100 %<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{8}\" alt=\"\\frac{100}{8}\" align=\"absmiddle\" \/> % = 12.5% or <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?12\\frac{1}{2}\" alt=\"12\\frac{1}{2}\" align=\"absmiddle\" \/>%\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{4}}\" alt=\"\\mathbf{\\frac{5}{4}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>In order to convert a fraction into a percentage multiply the fraction by 100 and put the percent sign %.<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{4}\" alt=\"\\frac{5}{4}\" align=\"absmiddle\" \/>\u00a0\u00d7 100 %<br \/>\n\u21d2 5 \u00d7 25 %<br \/>\n\u21d2 125%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{40}}\" alt=\"\\mathbf{\\frac{3}{40}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>In order to convert a fraction into a percentage multiply the fraction by 100 and put the percent sign %.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{40}\" alt=\"\\frac{3}{40}\" align=\"absmiddle\" \/>\u00a0\u00d7 100 %<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" align=\"absmiddle\" \/> \u00d7 5 %<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15}{2}\" alt=\"\\frac{15}{2}\" align=\"absmiddle\" \/> % = 7.5% or <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?7\\frac{1}{2}\" alt=\"7\\frac{1}{2}\" align=\"absmiddle\" \/>%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{7}}\" alt=\"\\mathbf{\\frac{2}{7}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>In order to convert a fraction into a percentage multiply the fraction by 100 and put the percent sign %.<br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{7}\" alt=\"\\frac{2}{7}\" align=\"absmiddle\" \/>\u00a0\u00d7 100 %<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{200}{7}\" alt=\"\\frac{200}{7}\" align=\"absmiddle\" \/> %\u00a0= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?28\\frac{4}{7}\" alt=\"28\\frac{4}{7}\" align=\"absmiddle\" \/> %<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Convert the given decimal fraction to percent.<br \/>\n<\/strong><strong>(a) 0.65\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 2.1\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(c) 0.02\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (d) 12.35<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) 0.65<br \/>\n<\/strong>First we have to remove the decimal point,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{65}{100}\" alt=\"\\frac{65}{100}\" align=\"absmiddle\" \/><br \/>\nNow,<br \/>\nMultiply by 100 and put the percent sign %.<br \/>\nWe have,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{65}{100}\" alt=\"\\frac{65}{100}\" align=\"absmiddle\" \/> \u00d7 100<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 65%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 2.1<br \/>\n<\/strong>First we have to remove the decimal point,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{10}\" alt=\"\\frac{21}{10}\" align=\"absmiddle\" \/><br \/>\nNow,<br \/>\nMultiply by 100 and put the percent sign %.<br \/>\nWe have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{10}\" alt=\"\\frac{21}{10}\" align=\"absmiddle\" \/> \u00d7 100<br \/>\n= 210%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 0.02<br \/>\n<\/strong>First we have to remove the decimal point,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{100}\" alt=\"\\frac{2}{100}\" align=\"absmiddle\" \/><br \/>\nNow,<br \/>\nMultiply 100 and put the percent sign %.<br \/>\nWe have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{100}\" alt=\"\\frac{2}{100}\" align=\"absmiddle\" \/> \u00d7 100<br \/>\n= 2%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 12.35<br \/>\n<\/strong>First we have to remove the decimal point,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1235}{100}\" alt=\"\\frac{1235}{100}\" align=\"absmiddle\" \/><br \/>\nNow,<br \/>\nMultiply by 100 and put the percent sign %.<br \/>\nWe have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1235}{100}\" alt=\"\\frac{1235}{100}\" align=\"absmiddle\" \/> \u00d7 100<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 1235%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Estimate what part of the figures is coloured and hence find the per cent which is coloured.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2024\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.2-Q3.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"620\" height=\"158\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.2-Q3.png 620w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.2-Q3-300x76.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.2-Q3-480x122.png 480w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i)<\/strong> Fraction of coloured part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Percentage of coloured parts 100<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/> \u00d7 100 = 25%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> Fraction of coloured part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Percentage of coloured parts<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/> \u00d7 100%<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 3 \u00d7 20%<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 60%<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong> Fraction of coloured part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{8}\" alt=\"\\frac{3}{8}\" align=\"absmiddle\" \/> <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Percentage of coloured parts<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{8}\" alt=\"\\frac{3}{8}\" align=\"absmiddle\" \/> \u00d7 100%<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}&amp;space;\\times&amp;space;25\" alt=\"\\frac{3}{2} \\times 25\" align=\"absmiddle\" \/>% = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{75}{2}\" alt=\"\\frac{75}{2}\" align=\"absmiddle\" \/>%<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 37.5%\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Find:<br \/>\n<\/strong><strong>(a) 15% of 250<br \/>\n(b) 1% of 1 hour<br \/>\n(c) 20% of \u20b9 2500<br \/>\n(d) 75% of 1 kg<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) 15% of 250<\/strong><br \/>\nWe have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15}{100}\" alt=\"\\frac{15}{100}\" align=\"absmiddle\" \/> \u00d7 250 <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15}{2}&amp;space;\\times&amp;space;5\" alt=\"\\frac{15}{2} \\times 5\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{75}{2}\" alt=\"\\frac{75}{2}\" align=\"absmiddle\" \/> \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 37.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 1% of 1 hour<br \/>\n<\/strong>We know that, 1 hour = 60 minutes<br \/>\nThen,<br \/>\n1% of 60 minutes<br \/>\n1 minute = 60 seconds<br \/>\n60 minutes = 60 \u00d7 60 = 3600 seconds<br \/>\n1% of 3600 seconds<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{100}\" alt=\"\\frac{1}{100}\" align=\"absmiddle\" \/> \u00d7 3600<br \/>\n= 1 \u00d7 36<br \/>\n= 36 seconds<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 20% of \u20b9 2500<br \/>\n<\/strong>= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20}{100}\" alt=\"\\frac{20}{100}\" align=\"absmiddle\" \/> \u00d7 2500<br \/>\n= 20 \u00d7 25<br \/>\n= \u20b9 500<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 75% of 1 kg<br \/>\n<\/strong>We know that, 1 kg = 1000 g<br \/>\nThen,<br \/>\n75% of 1000 g<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{75}{100}\" alt=\"\\frac{75}{100}\" align=\"absmiddle\" \/> \u00d7 1000<br \/>\n= 75 \u00d7 10<br \/>\n= 750 g<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Find the whole quantity if<br \/>\n<\/strong><strong>(a) 5% of it is 600<br \/>\n(b) 12% of it is? 1080<br \/>\n(c) 40% of it is 500 km<br \/>\n(d) 70% of it is 14 minutes<br \/>\n(e) 8% of it is 40 litres<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) 5% of it is 600<br \/>\n<\/strong>Let us assume the whole quantity be x,<br \/>\nThen,<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{100}\" alt=\"\\frac{5}{100}\" align=\"absmiddle\" \/> \u00d7 (x) = 600<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 600 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{5}\" alt=\"\\frac{100}{5}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 600 \u00d7 20<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 12000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 12% of it is \u20b9 1080.<br \/>\n<\/strong>Let us assume the whole quantity be x,<br \/>\nThen,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{100}\" alt=\"\\frac{12}{100}\" align=\"absmiddle\" \/> \u00d7 (x) = 1080<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 1080 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{12}\" alt=\"\\frac{100}{12}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 90 \u00d7 100<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = \u20b9 9000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 40% of it is 500k km<br \/>\n<\/strong>Let us assume the whole quantity be x,<br \/>\nThen,<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{40}{100}\" alt=\"\\frac{40}{100}\" align=\"absmiddle\" \/> \u00d7 (x) = 500<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 500 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{40}\" alt=\"\\frac{100}{40}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 500 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{4}\" alt=\"\\frac{10}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 500 \u00d7 2.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 1250 km<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 70% of it is 14 minutes<br \/>\n<\/strong>Let us assume the whole quantity be x,<br \/>\nThen,<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{70}{100}\" alt=\"\\frac{70}{100}\" align=\"absmiddle\" \/> \u00d7 (x) = 14<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 14 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{70}\" alt=\"\\frac{100}{70}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 2 \u00d7 10<br \/>\nx = 20 minutes<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) 8% of it is 40 liters<br \/>\n<\/strong>Let us assume the whole quantity be x,<br \/>\nThen,<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{100}\" alt=\"\\frac{8}{100}\" align=\"absmiddle\" \/> \u00d7 (x) = 40<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 40 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{8}\" alt=\"\\frac{100}{8}\" align=\"absmiddle\" \/><br \/>\nx = 5 \u00d7 100<br \/>\nx = 500 liters<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6. Convert given percent to decimal fractions and also fractions in simplest forms:<br \/>\n<\/strong><strong>(a) 25%<br \/>\n(b) 150%<br \/>\n(c) 20%<br \/>\n(d) 5%<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) 25%<br \/>\n<\/strong>First convert the given percentage into fraction and then put the fraction into decimal form.<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{100}\" alt=\"\\frac{25}{100}\" align=\"absmiddle\" \/><br \/>\n= \u00bc<br \/>\n= 0.25<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 150%<br \/>\n<\/strong>First convert the given percentage into fraction and then put the fraction into decimal form.<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{150}{100}\" alt=\"\\frac{150}{100}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" align=\"absmiddle\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 1.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 20%<br \/>\n<\/strong>First convert the given percentage into fraction and then put the fraction into decimal form.<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20}{100}\" alt=\"\\frac{20}{100}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{5}\" alt=\"\\frac{1}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 0.2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 5%<br \/>\n<\/strong>First convert the given percentage into fraction and then put the fraction into decimal form.<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{100}\" alt=\"\\frac{5}{100}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{20}\" alt=\"\\frac{1}{20}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 0.05<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>7. In a city, 30% are females, 40% are males and remaining are children. What per cent are children?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Percentage of female in a city =30%<br \/>\nPercentage of male in a city = 40%<br \/>\nTotal percentage of male and female both = 40% + 30%<br \/>\n= 70%<br \/>\nNow we have to find the percentage of children = 100 \u2013 70<br \/>\n= 30%<br \/>\nSo, 30% are children.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>8. Out of 15,000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Total number of voters in the constituency = 15000<br \/>\nPercentage of people who voted in the election = 60%<br \/>\nPercentage of people who did not voted in the election = 100 \u2013 60<br \/>\n= 40%<br \/>\nTotal number of voters who did not voted in the election = 40% of 15000<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{40}{100}\" alt=\"\\frac{40}{100}\" align=\"absmiddle\" \/>\u00a0 \u00d7 15000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 40 \u00d7 150<br \/>\n= 6000 voters<br \/>\n\u2234 6000 voters did not vote.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>9. Meeta saves \u20b9 4000 from her salary. If this is 10% of her salary. What is her salary?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Let us assume Meeta\u2019s salary be \u20b9 x,<br \/>\nThen,<br \/>\n10% of \u20b9 x = \u20b9 4000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{100}\" alt=\"\\frac{10}{100}\" align=\"absmiddle\" \/> \u00d7 (x) = 4000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 4000 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{10}\" alt=\"\\frac{100}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 4000 \u00d7 10<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = \u20b9 40000<br \/>\n\u2234 Meeta\u2019s salary is \u20b9 40000.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>10. A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Total matches played by a local team = 20<br \/>\nPercentage of matches won by the local team = 25%<br \/>\nThen,<br \/>\nNumber of matches won by the team = 25% of 20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{100}\" alt=\"\\frac{25}{100}\" align=\"absmiddle\" \/> \u00d7 20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{5}\" alt=\"\\frac{25}{5}\" align=\"absmiddle\" \/><br \/>\n= 5 matches.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 The local team won 5 matches out of 20 matches.<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 8 (Comparing Quantities) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 8 Comparing Quantities Exercise 8.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 8 Comparing Quantities NCERT Solution Class 7 Maths Exercise &#8211; 8.1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[300,301,283,5],"class_list":["post-2017","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-8-comparing-quantities-in-english","tag-ncert-solutions-class-7-maths-chapter-8-in-english","tag-ncert-solutions-class-7-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 7 Maths Chapter 8 Comparing Quantities Ex 8.2 | TheExamPillar NCERT<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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