Question

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.

Answer 1

C.P. of a VCR = Rs 8000

The shopkeeper made a loss of 4 % on VCR.

This means if C.P. is Rs 100, then S.P. is Rs 96.

When C.P. is Rs 8000, S.P. = Rs ( 96/100 x 8000 )  = Rs 7680

C.P. of a TV = Rs 8000

The shopkeeper made a profit of 8 % on TV.

This means that if C.P. is Rs 100, then S.P. is Rs 108.

When C.P. is Rs 8000, S.P. = Rs ( 108/100 x 8000 ) = Rs 8640

Total S.P. = Rs 7680 + Rs 8640 = Rs 16320 

Total C.P. = Rs 8000 + Rs 8000 = Rs 16000

 Since total S.P.> total C.P., there was a profit. 

Profit = Rs 16320 − Rs 16000 = Rs 320

Profit % = Profit / C.P x 100 = 320/16000 x 100

= 2%

Therefore, the shopkeeper had a gain of 2% on the whole transaction.