Question:

A man gains 10% by selling an article for a certain price. If he sells it at double the selling price, then the profit made is

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Use cost price as the base and calculate new profit percentage with changed selling price.
  • 120%
  • 20%
  • 40%
  • 100%
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The Correct Option is A

Solution and Explanation

Let the cost price be \(C\).
The original selling price \(S = C + 10\%\ \text{of}\ C = 1.1C\).
If the article is sold at double the selling price, new selling price \(= 2 \times 1.1C = 2.2C\).
Profit \(= \text{New selling price} - \text{Cost price} = 2.2C - C = 1.2C\).
Profit percentage \(= \frac{1.2C}{C} \times 100 = 120\%\).
Thus, the profit made is \(\boxed{120\%}\).
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