{"id":27567,"date":"2021-07-01T11:35:49","date_gmt":"2021-07-01T06:05:49","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=27567"},"modified":"2022-03-02T10:31:10","modified_gmt":"2022-03-02T05:01:10","slug":"ncert-solutions-for-class-8-maths-chapter-8-ex-8-2","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-8-ex-8-2\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 8 Comparing Quantities Ex 8.2 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Exercise 8.2<\/h2>\n

Question 1.
\nA man got a 10% increase in his salary. If his new salary is \u20b9 1,54,000, find his original salary.
\nSolution:
\nLet the original salary of a man be \u20b9 x.
\nIncrease in salary = 10% = \\(\\frac{10}{100}\\) \u00d7 x = \\(\\frac{x}{10}\\)
\nNew salary = \u20b9 1,54,000
\nx + \\(\\frac{x}{10}\\) = 154000
\n\\(\\frac{10 x+x}{10}\\) = 154000
\n11x = 154000 \u00d7 10
\nx = \\(\\frac{154000 \\times 10}{11}\\) = \u20b9 1,40,000
\n\u2234 Original salary = \u20b9 1,40,000<\/p>\n

\"NCERT<\/p>\n

Question 2.
\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?
\nSolution:
\nDecrease Value = 845 – 169 = 676
\nDecrease % = \\(\\frac{\\text { Decrease Value }}{\\text { Original Value }} \\times 100\\)
\n= \\(\\frac{676}{845}\\) \u00d7 100 = 80%
\nDecrease % = 80%<\/p>\n

Question 3.
\nA shopkeeper buys 80 articles for \u20b9 2400 and sells them for a profit of 16%. Find the selling price of one article.
\nSolution:
\nCost price of 80 articles = \u20b9 2400
\nProfit = \\(\\frac{16}{100}\\) \u00d7 2400 = \u20b9 384
\nSelling price of 80 articles = \u20b9 2400 + 384 = \u20b9 2784
\nSelling price of one article = \u20b9 \\(\\frac{2784}{80}\\) = \u20b9 34.80<\/p>\n

Question 4.
\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.
\nSolution:
\nTotal cost price of the article = \u20b9 15,500 + \u20b9 450 = \u20b9 15,950
\nProfit = 15% of C.P.
\n= \\(\\frac{15}{100}\\) \u00d7 15950
\n= \u20b9 2392.50
\nSelling Price of the article = \u20b9 15950 + \u20b9 2392.50 = \u20b9 18342.50
\n\u2234 S.P of the article = \u20b9 18342.50<\/p>\n

\"NCERT<\/p>\n

Question 5.
\nA VCR and TV were bought for \u20b9 8000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the T. V. Find the gain or loss per cent on the whole transaction.
\nSolution:
\nTotal C.P. of VCR and T.V. = \u20b9 2 \u00d7 8000 = \u20b9 16000
\nLoss on VCR = \\(\\frac{4}{100}\\) \u00d7 8000 = \u20b9 320
\nSelling price of the VCR = \u20b9 8000 – 320 = \u20b9 7680
\nProfit on T.V. = \\(\\frac{8}{100}\\) \u00d7 8000 = \u20b9 640
\nSelling price of the T.V. = \u20b9 8000 + \u20b9 640 = \u20b9 8640
\nTotal selling price = \u20b9 7680 + \u20b9 8640 = \u20b9 16,320
\nCombined Profit = \u20b9 16320 – \u20b9 16000 = \u20b9 320
\nGain % = \\(\\frac{\\text { Gain }}{\\text { Total C.P. }} \\times 100\\)
\n= \\(\\frac{320}{16000}\\) \u00d7 100
\n= 2%
\nProfit % on the whole = 2%<\/p>\n

Question 6.
\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?
\nSolution:
\nMarked price of a pairs of jeans = \u20b9 1450
\nDiscount = 10% of M.P
\n= \\(\\frac{10}{100}\\) \u00d7 1450
\n= \u20b9 145
\nSale price of a pair of jeans = \u20b9 1450 – \u20b9 145 = \u20b9 1305
\nMarked price of two shirts = \u20b9 850 \u00d7 2 = \u20b9 1700
\nDiscount = 10% of M.P
\n= \\(\\frac{10}{100}\\) \u00d7 1700
\n= \u20b9 170
\nSale price of two shirts = \u20b9 1700 – 170 = \u20b9 1530
\n\u2234 Total amount paid by the customer = \u20b9 1305 + \u20b9 1530 = \u20b9 2835
\nAmount paid by the customer = \u20b9 2835<\/p>\n

\"NCERT<\/p>\n

Question 7.
\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. (Find CP of each)
\nSolution:
\nSelling price of 1st buffalo = \u20b9 20,000
\ngain% = 5%
\nCost price = \\(\\left(\\frac{100}{100+\\text { Profit } \\%}\\right) \\times \\mathrm{S} . \\mathrm{P}\\)
\n\"NCERT
\nTotal selling price = \u20b9 2 \u00d7 20,000 = \u20b9 40,000
\nLoss = Total C.P. – Total S.P
\n= \u20b9 41269.84 – \u20b9 40,000
\n= \u20b9 1269.84<\/p>\n

Question 8.
\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.
\nSolution:
\nCost price of the T.V. = \u20b9 13,000
\nSales tax = 12% of C.P
\n= \\(\\frac{12}{100}\\) \u00d7 13000
\n= \u20b9 1560
\nBill amount = \u20b9 1560 + \u20b9 13,000 = \u20b9 14,560
\n\u2234 Vinod has to pay \u20b9 14,560 to buy a TV.<\/p>\n

\"NCERT<\/p>\n

Question 9.
\nArun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is \u20b9 1,600. Find the marked price.
\nSolution:
\nLet the marked price be \u20b9 \u2018x\u2019
\nDiscount = 20% of M.P
\n= \\(\\frac{20}{100}\\) \u00d7 x
\n= \\(\\frac{\\mathrm{x}}{5}\\)
\nAmount paid by Arun = \u20b9 1600
\nx – \\(\\frac{\\mathrm{x}}{5}\\) = 1600
\n\\(\\frac{5 x-x}{5}=1600\\)
\nx = \\(\\frac{1600 \\times 5}{4}\\) = \u20b9 2000
\n\u2234 Amount paid by Arun = \u20b9 2,000<\/p>\n

Question 10.
\nI purchased a hair-dryer for \u20b9 5400 including 8% VAT. Find the price before VAT was added.
\nSolution:
\nLet the original price of a hair-dryer be \u2018x\u2019
\nVAT = 8% of original price = \\(\\frac{8}{100}\\) \u00d7 x = \\(\\frac{2 \\mathrm{x}}{25}\\)
\nBill amount = \u20b9 5400
\nx + \\(\\frac{2 \\mathrm{x}}{25}\\) = 5400
\n\\(\\frac{25 x+2 x}{25}\\) = 5400
\n\\(\\frac{27 \\mathrm{x}}{25}\\) = 5400
\nx = \\(\\frac{5400 \\times 25}{27}\\) = \u20b9 5000
\n\u2234 Original price of the hair dryer = \u20b9 5000<\/p>\n

\"NCERT<\/p>\n

Question 11.
\nAn article was purchased for \u20b9 1239 including GST of 18%. Find the price of the article before GST was added?
\nSolution:
\nCost with GST included = \u20b9 1239
\nCost with out GST = x rupees
\nGST = 18%
\nIf we take this into equation
\nx + ((18 \u00f7 100 ) \u00d7 x) = 1239
\nCost before GST + GST = Cost with GST
\n\u21d2 x + ( 9x \u00f7 50 ) = 1239
\n\u21d2 (50x + 9x) \u00f7 50 = 1239
\n\u21d2 59x \u00f7 50 = 1239
\n\u21d2 59x = 1239 \u00d7 50
\n\u21d2 59x = 61950
\n\u21d2 x = 61950 \u00f7 59
\n\u21d2 x = 1050
\nPrice before GST = \u20b9 1050<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Exercise 8.2 Question 1. A man got a 10% increase in his salary. If his new salary is \u20b9 1,54,000, find …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-8-ex-8-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 Questions and Answers are prepared by our highly skilled subject experts. 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