Multiple choice

What profit percent is made by sellingan article at a certain price if by selling $\displaystyle\frac{3}{4}$ th of that price there is a loss of 10 % ?

  1. 20 %

  2. 15 %

  3. 25 %

  4. 10 %
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the original price be P. Selling at 0.75P results in 10% loss, so 0.75P = 0.9 * CostPrice. CostPrice = 0.75P / 0.9 = (75/90)P = (5/6)P. Profit percent = ((P - 5/6P) / (5/6P)) * 100 = (1/6 / 5/6) * 100 = 20%.

AI explanation

Let the certain selling price be 400, so selling at 3/4 of this price yields 300. Since selling at 300 causes a 10% loss, the cost price is 300 / 0.90, which equals 333.33. When selling at the original certain price of 400, the profit is 400 minus 333.33, or 66.66. The profit percentage is (66.66 / 333.33) * 100, resulting in a 20% profit.

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