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A trader sells his goods at a discount 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be:

A trader sells his goods at a discount 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be: Correct Answer 56.25%

Let the marked price = Rs. 100Then, SP = 100 - 20% of 100 = Rs. 80Profit = 25%Let His CP = XSP = 80X + 25% of X = 80Hence, X = Rs. $$\frac{{100 \times 80}}{{125}}$$  = Rs. 64CP = Rs. 64Profit after selling on marked price = 100 - 64 = Rs. 36% gain = $$\frac{{36 \times 100}}{{64}}$$  = 56.25%

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