Multiple choice

After giving a discount of 35%, there is a loss of 7.14%. If only 20% discount is given, then what will be the profit percentage?

  1. 11.11

  2. 12.5

  3. 14.28

  4. 16.66
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let MP be 100. After 35% discount, SP = 65. Loss is 7.14% (1/14), so CP = SP / (1 - 1/14) = 65 / (13/14) = 70. If 20% discount is given, SP = 80. Profit = 80 - 70 = 10. Profit % = (10/70) * 100 = 14.28%.

AI explanation

Let the marked price be 100. A 35 percent discount makes the selling price 65, and since this is a 7.14 percent loss, the cost price is 65 divided by 0.9286, which is 70. If the discount is 20 percent, the new selling price is 80. The profit is 10 on a cost of 70, so the gain percentage is (10 divided by 70) times 100, equaling 14.28 percent.

Keep practicing — related questions