Question : What will be the actual profit percentage (rounded off to the nearest integer) after selling an article at a certain price, while there occurs a loss of 45% on selling the article at $\frac{3}{8}$ of the selling price?
Option 1: 17%
Option 2: 37%
Option 3: 47%
Option 4: 27%
Correct Answer: 47%
Solution : Let the cost price be INR 100. Loss = 45% of cost price = INR 45 Selling price = cost price – loss = 100 – 45 = INR 55 As the product is sold at $\frac{3}{8}$ of the selling price, Original selling price = $\frac{8}{3}×55$ = INR $\frac{440}{3}$ $\therefore$ Actual profit percentage = $\frac{\text{selling price - cost price}}{\text{cost price}}×100=\frac{\frac{440}{3}-100}{100}×100 = 46.66\approx 47$% Hence, the correct answer is 47%.
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