A shopkeeper sold a TV set for Rs 17940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?

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24.8%

25%

30%

None of these

answer is C.

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Detailed Solution

Concept- If we were asked to provide a discount, the profit would have been even higher than the profit realised earlier. S.P., the discount, and the profit are provided to us. In order to calculate the profit before the discount, we must first determine the actual selling price that was advertised on television. The cost price will then be determined from it, followed by the profit.
Let the marked price of the TV be x.
Given discount is 8% then the sale is for 100-8=92%, i.e.
Question Image

Therefore, the cost price of the TV is 19500.
Then for 17940 he earned 19.6% profit,
Here, the total percentage of gain to the shopkeeper is 100+19.6 =119.6%. Therefore,

And we have, profit is:

Therefore, the profit percentage is 30%.
Hence, the correct option is 3.

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