If the selling price of an article is doubled, then the profit becomes four times. What was the original profit percentage?
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Explanation:
- Let's say the cost price of the article is \( C \) and the original selling price is \( S_1 \).
- The original profit is \( P_1 = S_1 - C \).
- If the selling price is doubled, it becomes \( 2S_1 \), and the new profit \( P_2 = 2S_1 - C \).
- We're given that \( P_2 = 4P_1 \).
- Plugging in the numbers: \( 2S_1 - C = 4(S_1 - C) \).
- This simplifies to: \( 2S_1 - C = 4S_1 - 4C \).
- Rearrange to find: \( 3C = 2S_1 \).
- Means \( S_1 = \frac{3}{2}C \), indicating a 50% profit originally.
- Option 3, 50% , is therefore the correct answer.
By: Parvesh Mehta ProfileResourcesReport error