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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%


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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