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A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4 percent on the VCR and a profit of 8 percent on the TV. Find the gain or loss percent on the whole transaction.

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.

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Given,

The cost price of the VCR = Rs. 8000

The cost price of TV = Rs. 8000

Now, He made a loss of 4% on VCR.

\therefore Selling price (SP) of the VCR = (100-4)% of CP = 96% x Rs. 8000 = Rs. 7680

Again, He made a profit of 8% on TV.

\therefore Selling price (SP) of the TV = (100+8)% of CP = 108% x Rs. 8000 = Rs. 8640

Net Selling price = Rs. (7680 + 8640) = Rs. 16320

Net Cost price = Rs. (2x8000) = Rs. 16000

Since, SP > CP, he made a net profit (gain)

Now, Net Gain = CP - SP = Rs. (16320-16000) = Rs. 320

\therefore Gain % = \frac{Profit}{CP}\times100\% = \frac{320}{16000}\times100\% = 2%

\therefore The shopkeeper made a gain of 2% on the whole transaction.

 

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