A trader marks his goods such that even after allowing a discount of 25%, he makes a profit of 10%. If he gives only 10% discount, then find the profit percentage.
32%
Let the cost price \(\text{CP} = 100\) and the marked price be \(\text{MP}\).
After a 25% discount, selling price gives 10% profit: \(\text{MP} \times 0.75 = 110\), so \(\text{MP} = \frac{110}{0.75} = \frac{440}{3}\).
If only a 10% discount is given, selling price \(= \text{MP} \times 0.9 = \frac{440}{3} \times 0.9 = 132\).
Profit percentage \(= \frac{132 - 100}{100} \times 100 = 32\%\).
Hence, the profit percentage is 32%.
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Important Questions from Discount and MP
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