{"id":108623,"date":"2022-02-12T14:19:50","date_gmt":"2022-02-12T08:49:50","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=108623"},"modified":"2025-01-27T17:41:34","modified_gmt":"2025-01-27T12:11:34","slug":"ncert-solutions-for-class-8-maths-chapter-8-comparing-quantities-ex-8-2","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/ncert-solutions\/class-8\/maths\/ncert-solutions-for-class-8-maths-chapter-8-comparing-quantities-ex-8-2\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2"},"content":{"rendered":"<h2>NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2<\/h2>\n<p><strong>NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Exercise 8.2<\/strong><\/p>\n<p>Ex 8.2 Class 8 Maths Question 1.<br \/>\nA man got a 10% increase in his salary. If his new salary is \u20b9 1,54,000, find his original salary.<br \/>\nSolution:<br \/>\nThe increased salary = \u20b9 1,54,000<br \/>\nIncrease in salary = 10%<br \/>\nIncrease salary = Original salary \u00d7 (1 + \\(\\frac { Increase }{ 100 }\\))<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106284\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q1.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q1\" width=\"308\" height=\"222\" \/><br \/>\nHence, the original salary = \u20b9 1,40,000<\/p>\n<p>Ex 8.2 Class 8 Maths Question 2.<br \/>\nOn Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the per cent decrease in the people visiting the Zoo on Monday?<br \/>\nSolution:<br \/>\nNumber of people visiting the Zoo on Sunday = 845<br \/>\nNumber of people visiting the Zoo on Monday = 169<br \/>\nDecrease in number of people visiting the Zoo = 845 \u2013 169 = 676<br \/>\nDecrease per cent<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106285\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q2.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q2\" width=\"307\" height=\"154\" \/><br \/>\nHence, the decrease per cent = 80%<\/p>\n<p>Ex 8.2 Class 8 Maths Question 3.<br \/>\nA shopkeeper buys 80 articles for \u20b9 2,400 and sells them for a profit of 16%. Find the selling price of one article.<br \/>\nSolution:<br \/>\nCost price of 80 articles = \u20b9 2,400<br \/>\nCost of 1 article = \u20b9 \\(\\frac { 2400 }{ 80 }\\) = \u20b9 30<br \/>\nProfit = 16%<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106286\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q3.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q3\" width=\"274\" height=\"173\" \/><br \/>\nHence, the selling price of one article = \u20b9 34.80<\/p>\n<p>Ex 8.2 Class 8 Maths Question 4.<br \/>\nThe cost of an article was \u20b9 15,500. \u20b9 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article.<br \/>\nSolution:<br \/>\nCP of the article = \u20b9 15,500<br \/>\nMoney spent on repairs = \u20b9 450<br \/>\nNet CP = \u20b9 15,500 + \u20b9 450 = \u20b9 15,950<br \/>\nProfit = 15%<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106287\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q4.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q4\" width=\"180\" height=\"168\" \/><br \/>\nHence, the selling price of article = \u20b9 18342.50<\/p>\n<p>Ex 8.2 Class 8 Maths Question 5.<br \/>\nA VCR and TV were bought for \u20b9 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss per cent on the whole transaction.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106290\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q5.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q5\" width=\"163\" height=\"156\" \/><br \/>\nSolution:<br \/>\nCost price of a VCR = \u20b9 8,000<br \/>\nLoss = 4%<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106288\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q5.1.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q5.1\" width=\"232\" height=\"416\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106289\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q5.2.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q5.2\" width=\"321\" height=\"250\" \/><br \/>\nHence, the shopkeeper gained 2% profit on the whole transaction.<\/p>\n<p>Ex 8.2 Class 8 Maths Question 6.<br \/>\nDuring a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of Jeans marked at \u20b9 1450 and two shirts marked at \u20b9 850 each?<br \/>\nSolution:<br \/>\nMarked Price (MP) of Jeans = \u20b9 1,450<br \/>\nMP of two shirts = \u20b9 850 \u00d7 2 = \u20b9 1,700<br \/>\nTotal MP = \u20b9 1,450 + \u20b9 1,700 = \u20b9 3,150<br \/>\nDiscount = 10%<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106291\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q6.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q6\" width=\"234\" height=\"160\" \/><br \/>\nThus, the customer will have to pay \u20b9 2,835.<\/p>\n<p>Ex 8.2 Class 8 Maths Question 7.<br \/>\nA milkman sold two of his buffaloes for \u20b9 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss. [Hint: Find CP of each]\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106295\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q7.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q7\" width=\"146\" height=\"188\" \/><br \/>\nSolution:<br \/>\nSP of a buffalo = \u20b9 20,000<br \/>\nGain = 5%<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106292\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q7.1.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q7.1\" width=\"269\" height=\"580\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106293\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q7.2.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q7.2\" width=\"300\" height=\"336\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106294\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q7.3.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q7.3\" width=\"371\" height=\"400\" \/><\/p>\n<p>Ex 8.2 Class 8 Maths Question 8.<br \/>\nThe price of a TV is \u20b9 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it.<br \/>\nSolution:<br \/>\nMarked price of the TV = \u20b9 13,000<br \/>\nST = 12%<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106296\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-Q8.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Q8\" width=\"252\" height=\"154\" \/><br \/>\nThe required amount that Vinod has to pay = \u20b9 14,560<\/p>\n<p>Ex 8.2 Class 8 Maths Question 9.<br \/>\nArun bought a pair of skates at a sale where the discount is given was 20%. If the amount he pays is \u20b9 1,600, find the marked price.<br \/>\nSolution:<br \/>\nLet the MP of the skates be \u20b9 100<br \/>\nDiscount = \u20b9 20% of 100 = \u20b9 20<br \/>\nSale price = \u20b9 100 \u2013 \u20b9 20 = \u20b9 80<br \/>\nIf SP is \u20b9 80 then MP = \u20b9 100<br \/>\nIf SP is \u20b9 1 then MP = \u20b9 \\(\\frac { 100 }{ 80 }\\)<br \/>\nIf SP is \u20b9 1,600 then MP = \u20b9 \\(\\frac { 100 }{ 80 }\\) \u00d7 1600 = \u20b9 2,000<br \/>\nThus the MP = \u20b9 2000.<\/p>\n<p>Ex 8.2 Class 8 Maths Question 10.<br \/>\nI purchased a hair-dryer for \u20b9 5,400 including 8% VAT. Find the price before VAT was added.<br \/>\nSolution:<br \/>\nLet the original price be \u20b9 100<br \/>\nVAT = 8% of 100 = \u20b9 8<br \/>\nSale price = \u20b9 100 + \u20b9 8 = \u20b9 108<br \/>\nIf SP is \u20b9 108 then original price = \u20b9 100<br \/>\nIf SP is \u20b9 1 then the original price = \u20b9 \\(\\frac { 100 }{ 108 }\\)<br \/>\nIf SP is \u20b9 5,400 then the original price = \u20b9 \\(\\frac { 100 }{ 108 }\\) \u00d7 5,400 = \u20b9 5,000<br \/>\nThus, the price of hair-dryer before the addition of VAT = \u20b9 5000.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106297\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-1.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-1\" width=\"647\" height=\"388\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106298\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-2.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-2\" width=\"681\" height=\"286\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106299\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-3.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-3\" width=\"689\" height=\"371\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106300\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-4.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-4\" width=\"678\" height=\"380\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106301\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-5.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-5\" width=\"693\" height=\"608\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106302\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-6.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-6\" width=\"687\" height=\"355\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106303\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-7.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-7\" width=\"685\" height=\"485\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106304\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-8.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-8\" width=\"680\" height=\"296\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106305\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-9.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-9\" width=\"663\" height=\"503\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106306\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-10.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-10\" width=\"684\" height=\"286\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106307\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-8-Comparing-Quantities-Ex-8.2-q-11.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 q-11\" width=\"678\" height=\"294\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 NCERT Solutions for Class 8 Maths Chapter 8 [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"\"Get NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 on Infinity 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