Multiple choice

The cost price of Anna's popular chocolate cake increased by 15% due to rising ingredient cost. As a result, she noticed that her profit on the cake decreased by 25%. What is the present profit percentage earned by Anna on the chocolate cake?

  1. 13.39

  2. 39.13

  3. 39.31

  4. 31.39

  5. a
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100, Profit = P. SP = 100 + P. New CP = 115. New Profit = 0.75P. New SP = 115 + 0.75P. Since SP is the same, 100 + P = 115 + 0.75P. 0.25P = 15, P = 60. New profit percentage = (0.75 * 60) / 115 = 45 / 115 = 39.13%.

AI explanation

Let the original cost price be 100 and the original profit be P. The new cost price becomes 115, and the new profit becomes 0.75P. Assuming the selling price remains constant, the equation is 100 + P = 115 + 0.75P, which simplifies to 0.25P = 15, giving an original profit P of 60. The present profit value is 0.75 multiplied by 60, which is 45. The present profit percentage is calculated based on the new cost price of 115, so 45 divided by 115 multiplied by 100 equals 39.13.

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