Question

If the selling price is doubled, the profit triples. Find the profit % :

• A. 50%
• B. \(105\frac{1}{3}\)%
• C. \(66\frac{2}{3}\)%
• D. 100%

Answer 1

The Correct Option is D

To find the profit percentage when the selling price is doubled and the profit triples, let's use the following steps:

1. Let the cost price be \( C \) and the original selling price be \( S \). The original profit is \( S - C \).
2. When the selling price is doubled, it becomes \( 2S \). The new profit is thus \( 2S - C \).
3. According to the problem, the new profit is triple the original profit. Hence, we have the equation: \( 2S - C = 3(S - C) \).
4. Expanding and simplifying the equation, we have:
   \(2S - C = 3S - 3C\)
   \(2S - C = 3S - 3C\)
   Add \( 3C \) and subtract \( 2S \) from both sides:
   \(3C - C = 3S - 2S\)
   \(2C = S\)
5. Now, the original selling price \( S = 2C \).
6. Profit is \( S - C = 2C - C = C \).
7. The profit percentage is calculated as:
   \(\frac{C}{C}\times100\% = 100\%\).

This means the correct profit percentage is 100%.