Multiple choice

When a discount of 20% is offered on a sweater, the profit made is 28%. If the discount offered is 14%, then the profit earned will be

  1. 42 percent

  2. 46.4 percent

  3. 33.2 percent

  4. 37.6 percent
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let MP = 100. Discount 20% -> SP = 80. Profit 28% -> CP = 80 / 1.28 = 62.5. If discount is 14%, SP = 86. Profit = 86 - 62.5 = 23.5. Profit % = (23.5 / 62.5) * 100 = 37.6%.

AI explanation

Let the marked price be 100, so a 20 percent discount makes the selling price 80. This selling price yields a 28 percent profit, meaning the cost price is 80 divided by 1.28, which is 62.5. If the discount is 14 percent, the new selling price becomes 86. The profit percentage is calculated as (86 minus 62.5) divided by 62.5 multiplied by 100, resulting in 37.6 percent.

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