{"id":2018,"date":"2022-11-07T04:11:30","date_gmt":"2022-11-07T04:11:30","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2018"},"modified":"2022-11-07T04:11:30","modified_gmt":"2022-11-07T04:11:30","slug":"ncert-solutions-class-7-maths-chapter-8-comparing-quantities-ex-8-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-8-comparing-quantities-ex-8-3\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 8 Comparing Quantities Ex 8.3"},"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 8.3 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-8-2\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 8.2<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 8.3\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Tell what is the profit or loss in the following transactions. Also find profit per cent or loss per cent in each case.<br \/>\n<\/strong><strong>(a) Gardening shears bought for \u20b9 250 and sold for \u20b9 325.<br \/>\n(b) A refrigerator bought for \u20b9 12,000 and sold at \u20b9 13,500.<br \/>\n(c) A cupboard bought for \u20b9 2,500 and sold at \u20b9 3,000.<br \/>\n(d) A skirt bought for \u20b9 250 and sold at \u20b9 150.<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) Gardening shears bought for \u20b9 250 and sold for \u20b9 325.<\/strong><br \/>\nCost price of gardening shears = \u20b9 250<br \/>\nSelling price of gardening shears = \u20b9 325<br \/>\nSince (SP) &gt; (CP), so there is a profit<br \/>\nProfit = (SP) \u2013 (CP)<br \/>\n= \u20b9 (325 \u2013 250)<br \/>\n= \u20b9 75<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2028\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.3-Q1.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"228\" height=\"45\" \/><br \/>\n<\/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\\times&amp;space;100}{250}\" alt=\"\\frac{75\\times 100}{250}\" align=\"absmiddle\" \/>%<br \/>\n= 3 \u00d7 10 %<br \/>\n= 30%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) A refrigerator bought for \u20b9 12,000 and sold at \u20b9 13,500.<br \/>\n<\/strong>Cost price of refrigerator = \u20b9 12000<br \/>\nSelling price of refrigerator = \u20b9 13500<br \/>\nSince (SP) &gt; (CP), so there is a profit<br \/>\nProfit = (SP) \u2013 (CP)<br \/>\n= \u20b9 (13500 \u2013 12000)<br \/>\n= \u20b9 1500<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2028\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.3-Q1.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"228\" height=\"45\" \/><br \/>\n<\/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{1500\\times&amp;space;100}{12000}\" alt=\"\\frac{1500\\times 100}{12000}\" 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{150}{12}\" alt=\"\\frac{150}{12}\" align=\"absmiddle\" \/>%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 12.5%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) A cupboard bought for \u20b9 2,500 and sold at \u20b9 3,000.<br \/>\n<\/strong>Cost price of cupboard = \u20b9 2500<br \/>\nSelling price of cupboard = \u20b9 3000<br \/>\nSince (SP) &gt; (CP), so there is a profit<br \/>\nProfit = (SP) \u2013 (CP)<br \/>\n= \u20b9 (3000 \u2013 2500)<br \/>\n= \u20b9 500<\/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-2028\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.3-Q1.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"228\" height=\"45\" \/><br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{500\\times&amp;space;100}{2500}\" alt=\"\\frac{500\\times 100}{2500}\" align=\"absmiddle\" \/>%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 20%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) A skirt bought for \u20b9 250 and sold at \u20b9 150.<br \/>\n<\/strong>Cost price of skirt = \u20b9 250<br \/>\nSelling price of skirt = \u20b9 150<br \/>\nSince (SP) &lt; (CP), so there is a loss<br \/>\nLoss = (CP) \u2013 (SP)<br \/>\n= \u20b9 (250 \u2013 150)<br \/>\n= \u20b9 100<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2029\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.3-Q1D.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"165\" height=\"53\" \/><br \/>\n<\/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{100\\times&amp;space;100}{250}\" alt=\"\\frac{100\\times 100}{250}\" align=\"absmiddle\" \/>%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 40%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Convert each part of the ratio to percentage:<br \/>\n<\/strong><strong>(a) 3 : 1<br \/>\n(b) 2 : 3 : 5<br \/>\n(c) 1 : 4<br \/>\n(d) 1 : 2 : 5<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) 3 : 1<\/strong><br \/>\nSum of the ratio parts = 3 + 1 = 4<br \/>\nPercentage of First part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\\times&amp;space;100\" alt=\"\\frac{3}{4}\\times 100\" align=\"absmiddle\" \/> %<br \/>\n= 3 \u00d7 25%<br \/>\n= 75%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Percentage of Second part =\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\\times&amp;space;100\" alt=\"\\frac{1}{4}\\times 100\" align=\"absmiddle\" \/>%<br \/>\n= 1 \u00d7 25%<br \/>\n= 25%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 2 : 3 : 5<br \/>\n<\/strong>Sum of the ratio parts = 2 + 3 + 5 = 10<br \/>\nPercentage of First part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{10}\\times&amp;space;100\" alt=\"\\frac{2}{10}\\times 100\" align=\"absmiddle\" \/>%<br \/>\n= 2 \u00d7 10%<br \/>\n= 20%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Percentage of Second part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{10}\\times&amp;space;100\" alt=\"\\frac{3}{10}\\times 100\" align=\"absmiddle\" \/> %<br \/>\n= 3 \u00d7 10%<br \/>\n= 30%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Percentage of Third part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10}\\times&amp;space;100\" alt=\"\\frac{5}{10}\\times 100\" align=\"absmiddle\" \/> %<br \/>\n= 5 \u00d7 10%<br \/>\n= 50%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 1 : 4<br \/>\n<\/strong>Sum of the ratio parts = 1 + 4 = 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Percentage of First part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{5}\\times&amp;space;100\" alt=\"\\frac{1}{5}\\times 100\" align=\"absmiddle\" \/> %<br \/>\n= 1 \u00d7 20%<br \/>\n= 20%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Percentage of Second part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\\times&amp;space;100\" alt=\"\\frac{4}{5}\\times 100\" align=\"absmiddle\" \/> %<br \/>\n= 4 \u00d7 20%<br \/>\n= 80%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 1 : 2 : 5<br \/>\n<\/strong>Sum of the ratio parts = 1 + 2 + 5 = 8<br \/>\nPercentage of First part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{8}\\times&amp;space;100\" alt=\"\\frac{1}{8}\\times 100\" align=\"absmiddle\" \/>%<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{8}\" alt=\"\\frac{100}{8}\" align=\"absmiddle\" \/> %<br \/>\n= 12.5%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Percentage of Second part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{8}\\times&amp;space;100\" alt=\"\\frac{2}{8}\\times 100\" align=\"absmiddle\" \/>%<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\\times&amp;space;100\" alt=\"\\frac{1}{4}\\times 100\" align=\"absmiddle\" \/><br \/>\n= 25%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3<sup>rd\u00a0<\/sup>part = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\\times&amp;space;100\" alt=\"\\frac{5}{8}\\times 100\" align=\"absmiddle\" \/>%<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{500}{8}\" alt=\"\\frac{500}{8}\" align=\"absmiddle\" \/>%<br \/>\n= 62.5%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Initial population of the city = 25000<br \/>\nFinal population of the city = 24500<br \/>\nPopulation decrease = Initial population \u2013 Final population<br \/>\n= 25000 \u2013 24500<br \/>\n= 500<br \/>\nThen,<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2030\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.3-Q3.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"336\" height=\"53\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.3-Q3.png 577w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.3-Q3-300x47.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-8.3-Q3-480x76.png 480w\" sizes=\"auto, (max-width: 336px) 100vw, 336px\" \/><\/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{500\\times&amp;space;100}{25000}\" alt=\"\\frac{500\\times 100}{25000}\" 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{50}{25}\" alt=\"\\frac{50}{25}\" align=\"absmiddle\" \/>% = 2%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Arun bought a car for \u20b9 3,50,000. The next year, the price went upto \u20b9 3,70,000. What was the Percentage of price increase?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Arun bought a car for = \u20b9 350000<br \/>\nThe price of the car in the next year, went up to = \u20b9 370000<br \/>\nThen increase in price of car = \u20b9 370000 \u2013 \u20b9 350000<br \/>\n= \u20b9 20000<br \/>\nThe percentage of price increase = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20000\\times&amp;space;100}{350000}\" alt=\"\\frac{20000\\times 100}{350000}\" align=\"absmiddle\" \/>%<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2\\times&amp;space;100}{35}\" alt=\"\\frac{2\\times 100}{35}\" 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{40}{7}\" alt=\"\\frac{40}{7}\" align=\"absmiddle\" \/>% = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?5\\frac{5}{7}\" alt=\"5\\frac{5}{7}\" align=\"absmiddle\" \/>%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. I buy a T.V. for \u20b9 10,000 and sell it at a profit of 20%. How much money do I get for it?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Cost price of the T.V. = \u20b9 10000<br \/>\nPercentage of profit = 20%<br \/>\nProfit = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20\\times&amp;space;10000}{100}\" alt=\"\\frac{20\\times 10000}{100}\" align=\"absmiddle\" \/> = \u20b9 2000<br \/>\nThen,<br \/>\nSelling price of the T.V. = Cost Price + Profit<br \/>\n= 10000 + 2000<br \/>\n= \u20b9 12000<br \/>\n\u2234 I will get it for \u20b9 12000.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6. Juhi sells a washing machine for \u20b9 13,500. She loses 20% in the bargain. What was the price at which she bought it?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Selling price of washing machine = \u20b9 13500<br \/>\nPercentage of loss = 20%<br \/>\nCost Price washing machine = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100\\times&amp;space;SP}{100-loss%}\" alt=\"\\frac{100\\times SP}{100-loss%}\" align=\"absmiddle\" \/><br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100\\times&amp;space;13500}{100-20}\" alt=\"\\frac{100\\times 13500}{100-20}\" 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{1350000}{80}\" alt=\"\\frac{1350000}{80}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= \u20b9 16875<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>7.<br \/>\n(i) Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>The ratio of calcium, carbon and oxygen in chalk = 10 : 3 : 12<br \/>\nSo, total part = 10 + 3 + 12 = 25<br \/>\nIn that total part amount of carbon = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{25}\" alt=\"\\frac{3}{25}\" align=\"absmiddle\" \/><br \/>\nThen,<br \/>\nPercentage of carbon = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{25}\" alt=\"\\frac{3}{25}\" align=\"absmiddle\" \/> \u00d7 100<br \/>\n= 3 \u00d7 4%<br \/>\n= 12 %<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) If in a stick of chalk, carbon is 3g, what is the weight of the chalk stick?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Weight of carbon in the chalk = 3g<br \/>\nLet us assume the weight of the stick be x<br \/>\nThen,<br \/>\n12% of x = 3<\/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) = 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 3 \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 = 1 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{4}\" alt=\"\\frac{100}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">x = 25g<br \/>\n\u2234 The weight of the stick is 25g.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>8. Amina buys a book for \u20b9 275 and sells it at a loss of 15%. How much does she sell it for?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>Cost price of book = \u20b9 275<br \/>\nPercentage of loss = 15%<br \/>\nSelling Price of book = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(100-loss%)}{100}\\times&amp;space;CP\" alt=\"\\frac{(100-loss%)}{100}\\times CP\" 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{(100-15)}{100}\\times&amp;space;275\" alt=\"\\frac{(100-15)}{100}\\times 275\" 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{85}{100}\\times&amp;space;275\" alt=\"\\frac{85}{100}\\times 275\" 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{23375}{100}\" alt=\"\\frac{23375}{100}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= \u20b9 233.75<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>9. Find the amount to be paid at the end of 3 years in each case:<br \/>\n<\/strong><strong>(a) Principal = \u20b9 1,200 at 12% p.a.<br \/>\n(b) Principal = \u20b9 7,500 at 5% p.a.<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) Principal = \u20b9 1,200 at 12% p.a.<br \/>\n<\/strong>Principal (P) = \u20b9 1200,<br \/>\nRate (R) = 12% p.a.<br \/>\nTime (T) = 3 years.<br \/>\nSimple interest (SI) = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{P\\times&amp;space;R\\times&amp;space;T}{100}\" alt=\"\\frac{P\\times R\\times T}{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{1200\\times&amp;space;12\\times&amp;space;3}{100}\" alt=\"\\frac{1200\\times 12\\times 3}{100}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 12 \u00d7 12 \u00d7 3<br \/>\n= \u20b9432<br \/>\nAmount = (principal + SI)<br \/>\n= (1200 + 432)<br \/>\n= \u20b9 1632<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) Principal = \u20b9 7,500 at 5% p.a.<br \/>\n<\/strong>Principal (P) = \u20b9 7500,<br \/>\nRate (R) = 5% p.a.<br \/>\nTime (T) = 3 years.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Simple Interest (SI) = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{P\\times&amp;space;R\\times&amp;space;T}{100}\" alt=\"\\frac{P\\times R\\times T}{100}\" align=\"absmiddle\" \/><br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7500\\times&amp;space;5\\times&amp;space;3}{100}\" alt=\"\\frac{7500\\times 5\\times 3}{100}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 75 \u00d7 5 \u00d7 3<br \/>\n= \u20b9 1125<br \/>\nAmount = (principal + SI)<br \/>\n= (7500 + 1125)<br \/>\n= \u20b9 8625<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>10. What rate gives \u20b9 280 as interest on a sum of \u20b9 56,000 in 2 years?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>P = \u20b9 56000,<br \/>\nSI = \u20b9 280,<br \/>\nT = 2 years.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">R = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100\\times&amp;space;SI}{P\\times&amp;space;T}\" alt=\"\\frac{100\\times SI}{P\\times T}\" 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{100\\times&amp;space;280}{56000\\times&amp;space;2}\" alt=\"\\frac{100\\times 280}{56000\\times 2}\" 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\\times&amp;space;28}{56\\times&amp;space;2}\" alt=\"\\frac{1\\times 28}{56\\times 2}\" 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}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/> =\u00a00.25%<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>11. If Meena gives an interest of \u20b9 45 for one year at 9% rate p.a. What is the sum she has borrowed?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong>SI = \u20b9 45,<br \/>\nR = 9%,<br \/>\nT = 1 year,<br \/>\nP =?<br \/>\nSI = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{P\\times&amp;space;R\\times&amp;space;T}{100}\" alt=\"\\frac{P\\times R\\times T}{100}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">45 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{P\\times&amp;space;9\\times&amp;space;1}{100}\" alt=\"\\frac{P\\times 9\\times 1}{100}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">P = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{45\\times&amp;space;100}{9}\" alt=\"\\frac{45\\times 100}{9}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">P = 5 \u00d7 100<br \/>\nP = \u20b9 500<br \/>\nHence, she borrowed \u20b9 500.<\/span><\/p>\n<p>&nbsp;<\/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 8.3 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-2018","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 8.3 | 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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