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Ex 8.2, 5 - A VCR and TV were bought for Rs 8,000 each. The shopkeeper

Ex 8.2, 5 - Chapter 8 Class 8 Comparing Quantities - Part 2
Ex 8.2, 5 - Chapter 8 Class 8 Comparing Quantities - Part 3
Ex 8.2, 5 - Chapter 8 Class 8 Comparing Quantities - Part 4
Ex 8.2, 5 - Chapter 8 Class 8 Comparing Quantities - Part 5

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Ex 8.2, 5 A VCR and TV were bought for Rs 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 percent on the whole transaction. Given, Cost Price (CP) of VCR and TV = 8000 each Total Cost Price (CP) = Cost Price of VCR + Cost Price of TV CP = 8000 + 8000 CP = 16000 Total Selling Price (SP) = Selling Price of VCR + Selling Price of TV Selling Price of VCR Cost Price = 8000 Loss Percentage = 4% Now, Loss Percentage = 𝐿𝑜𝑠𝑠/(𝐶𝑜𝑠𝑡 𝑃𝑟𝑖𝑐𝑒) × 100 4 = 𝐿𝑜𝑠𝑠/8000 × 100 (4 × 8000)/100 = Loss 4 × 80 = Loss 320 = Loss ∴ Loss = 320 Selling Price of TV Cost Price = 8000 Profit Percentage = 8% Now, Profit Percentage = 𝑃𝑟𝑜𝑓𝑖𝑡/(𝐶𝑜𝑠𝑡 𝑃𝑟𝑖𝑐𝑒) × 100 8 = 𝑃𝑟𝑜𝑓𝑖𝑡/8000 × 100 (8 × 8000)/100 = Profit 8 × 80 = Profit 640 = Profit ∴ Profit = 640 Now, Loss = Cost Price − Selling Price 320 = 8000 − Selling Price Selling Price = 8000 − 320 Selling Price = 7680 Now, Profit = Selling Price − Cost Price 640 = Selling Price − 8000 640 + 8000 = Selling Price 8640 = Selling Price Selling Price = 8640 Putting the values in equation (1) Total Selling Price (SP) = Selling Price of VCR + Selling Price of TV = 7680 + 8640 = 16320 Now, CP = Rs 16000 SP = Rs 16320 Since SP > CP ∴ Shopkeeper made a Profit Profit = SP − CP = 16,320 − 16,000 = Rs 320 Now, Gain Percentage = 𝐺𝑎𝑖𝑛/𝐶𝑃×100 = 320/16000 × 100 = 32/16 = 2% ∴ The Gain Percentage is 2%

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.