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A sells 2 TV sets at same price, one at a loss of 15% and another at a profit of 15%. Find the loss/gain percentage in the overall transaction?

Question

A sells 2 TV sets at the same price, one at a loss of 15% and another at a profit of 15%. Find the loss/gain percentage in the overall transaction?

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Solution

Step 1: Let's assume the cost price of each TV set is $100 (for simplicity).

Step 2: When A sells the first TV set at a loss of 15%, the selling price becomes 85(because1585 (because 15% of 100 is 15,and15, and 100 - 15=15 = 85).

Step 3: When A sells the second TV set at a profit of 15%, the selling price becomes 115(because15115 (because 15% of 100 is 15,and15, and 100 + 15=15 = 115).

Step 4: So, the total cost price of the two TV sets is 200(200 (100 + 100),andthetotalsellingpriceofthetwoTVsetsis100), and the total selling price of the two TV sets is 200 (85+85 + 115).

Step 5: As the total selling price is equal to the total cost price, there is neither profit nor loss in the overall transaction. So, the loss/gain percentage in the overall transaction is 0%.

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