A VCR and TV were bought for ₹ 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.

Cost price of VCR = ₹ 8000 and Cost price of TV = ₹ 8000
Total Cost Price of both articles = ₹ 8000 + ₹ 8000 = ₹ 16,000
Now VCR is sold at 4% loss.
Let C.P. of each article be ₹ 100, then S.P. of VCR = 100 – 4 = ₹ 96
∵ When C.P. is ₹ 100, then S.P. = ₹ 96
∴ When C.P. is ₹ 1, then S.P. = 96/100
∴ When C.P. is ₹ 8000, then S.P. = 96/100×8000 =₹ 7,680
And TV is sold at 8% profit, then S.P. of TV = 100 + 8 = ₹ 108
∵ When C.P. is ₹ 100, then S.P. = ₹ 108
∴ When C.P. is ₹ 1, then S.P. = 108/100
∴ When C.P. is ₹ 8000, then S.P. = 108/100 = ₹ 8,640
Then, Total S.P. = ₹ 7,680 + ₹ 8,640 = ₹ 16,320
Since S.P. > C.P.,
Therefore Profit = S.P. – C.P. = 16320 – 16000 = ₹ 320
And Profit% = Profit/Cost Price x 100 = 320/16000 x 100 = 2%

Class 8 Maths Chapter 8 Exercise 8.2 Solution in Video

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