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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