Multiple choice

The profit on a certain commodity increases by 200% if the selling price is increased by 100%. Find the profit percentage.

  1. 100%

  2. 150%

  3. 50%

  4. 75%

  5. None of these
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A Correct answer
Explanation

Let CP = C, SP = S. Profit P = S - C. New SP = 2S. New Profit = 2S - C. Given 2S - C = 3(S - C). 2S - C = 3S - 3C. S = 2C. Profit % = (S-C)/C * 100 = (2C-C)/C * 100 = 100%.

AI explanation

Let the cost price be 100 and the initial selling price be 200, yielding an initial profit of 100. Increasing the selling price by 100% makes the new selling price 400, so the profit increases from 100 to 300, which perfectly aligns with the given 200% profit increase. The final profit is 400 minus 100, equaling 300 on the cost price of 100. The profit percentage is 100%.

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