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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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Transcript

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 = πΏπ‘œπ‘ π‘ /(πΆπ‘œπ‘ π‘‘ π‘ƒπ‘Ÿπ‘–π‘π‘’) Γ— 100 4 = πΏπ‘œπ‘ π‘ /8000 Γ— 100 (4 Γ— 8000)/100 = Loss 4 Γ— 80 = Loss 320 = Loss ∴ Loss = 320 Selling Price of TV Cost Price = 8000 Profit Percentage = 8% Now, Profit Percentage = π‘ƒπ‘Ÿπ‘œπ‘“π‘–π‘‘/(πΆπ‘œπ‘ π‘‘ π‘ƒπ‘Ÿπ‘–π‘π‘’) Γ— 100 8 = π‘ƒπ‘Ÿπ‘œπ‘“π‘–π‘‘/8000 Γ— 100 (8 Γ— 8000)/100 = Profit 8 Γ— 80 = Profit 640 = Profit ∴ Profit = 640 Now, Loss = Cost Price βˆ’ Selling Price 320 = 8000 βˆ’ Selling Price Selling Price = 8000 βˆ’ 320 Selling Price = 7680 Now, Profit = Selling Price βˆ’ Cost Price 640 = Selling Price βˆ’ 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 βˆ’ CP = 16,320 βˆ’ 16,000 = Rs 320 Now, Gain Percentage = πΊπ‘Žπ‘–π‘›/𝐢𝑃×100 = 320/16000 Γ— 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.