Multiple choice

A fruit seller selling apples marked up the price of each apple by a%. Thereafter by selling apples at a discount of 25%, he made a profit of 20%. Which of the following gives the value of a?

  1. 50

  2. 60

  3. 70

  4. 80
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. Marked Price = 100 + a. Selling Price = (100 + a) * 0.75. Profit = 20%, so SP = 120. Thus, (100 + a) * 0.75 = 120. 100 + a = 120 / 0.75 = 160. Therefore, a = 60.

AI explanation

Assume the cost price is 100 and the marked price is 100 + a. The selling price after a 25% discount is 0.75 x (100 + a). Since this yields a 20% profit, we set 0.75 x (100 + a) = 120. Solving this equation gives 100 + a = 160, so the value of a is 60.

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