Multiple choice

Rahul sold a cooler for Rs. 7680 and gained some profit percentage which is equal to the percentage of loss incurred by selling the same cooler for Rs. 5120. He wants a profit of 25% this time, what should be the selling price (in Rs.)?

  1. 8000

  2. 5500

  3. 4600

  4. 3100

  5. 1600

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

Let CP be x. (7680 - x)/x = (x - 5120)/x. 7680 - x = x - 5120, 2x = 12800, x = 6400. To get 25% profit, SP = 6400 * 1.25 = 8000.

AI explanation

Using the standard formula for such problems, the cost price equals (Sum of selling prices) / 2. Adding the two selling prices gives 7680 + 5120 = 12800, and dividing by 2 gives a cost price of Rs. 6400. To achieve a 25 percent profit, the required selling price is 6400 * 1.25, which is Rs. 8000.