Question : If the selling price of an article is doubled, then the profit becomes four times. What was the original profit percentage?
Option 1: 75%
Option 2: 100%
Option 3: 50%
Option 4: 25%
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Correct Answer: 50%
Solution : Given: If the selling price of an article is doubled, then the profit becomes four times. Let the selling price of the article be Rs. $x$ and the cost price is Rs. $y$. So, profit = $(x – y)$ The new selling price becomes $2x$. Now, according to the question $4 (x – y) = 2x – y$ ⇒ $4x – 4y = 2x – y$ ⇒ $4x – 2x = 4y – y$ ⇒ $2x = 3y$ ⇒ $\frac{x}{y} = \frac{3}{2}$ Let, $x = 3k$ and $y = 2k$ So, the profit is (3$k$ – 2$k$) = Rs. $k$ ∴ Profit percentage = $\frac{k}{2k} × 100 = 50$% So, the profit is 50%. Hence, the correct answer is 50%.
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