Question : The marked price of an article is 40% more than its cost price. If a 25% discount is given, what will be the profit percentage?
Option 1: 12.5%
Option 2: 10%
Option 3: 15%
Option 4: 5%
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Correct Answer: 5%
Solution : Given: The marked price is 40% more than the cost price and the discount is 25%. Let the cost price (CP) be $100x$. Then, the marked price(MP) is $140x$. Selling price after giving a discount of 25% = $\text{MP}\times \frac{100-\text{Discount%}}{100}$ = $140x\times \frac{100-25}{100}$ = $140x\times \frac{75}{100}$ = $105x$ So, the profit percentage $=\frac{\text{SP-CP}}{\text{CP}}\times 100$% = $\frac{105x-100x}{100x}\times 100 = 5$% Hence, the correct answer is 5%.
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