Multiple choice

A shopkeeper sold an air conditioner for Rs.25935 with a discount of 9% and earned a profit of 3.74%. What would have been the percentage of profit earned if no discount was offered?

  1. 12.3%

  2. 15.6%

  3. 16%

  4. 14%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

SP = 25935, Discount = 9%. MP = 25935 / 0.91 = 28500. Profit = 3.74%. CP = 25935 / 1.0374 = 25000. If no discount, SP = MP = 28500. Profit = 28500 - 25000 = 3500. Profit % = (3500 / 25000) * 100 = 14%.

AI explanation

Using the successive percentage formula (a + b + ab/100) for the discount and profit, we set -9 + 3.74 + (-9 * 3.74)/100 equal to the net percentage change relative to the marked price. This reveals that the marked price is 14% above the cost price. If no discount is offered, the shopkeeper sells the item directly at the marked price, resulting in a 14% profit.