Multiple choice

The amount of loss incurred by Amit on selling a product for Rs. 1500 is 50% more than the profit earned when the same product is sold for Rs. 1900. If the product is sold for Rs. 2500, then what will be the profit percentage?

  1. 43.7%

  2. 31.8%

  3. 32.1%

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be the cost price. Loss = CP - 1500, Profit = 1900 - CP. Given (CP - 1500) = 1.5 * (1900 - CP), solving gives 2.5 * CP = 4350, so CP = 1740. Selling at 2500 gives a profit of 2500 - 1740 = 760, and 760 / 1740 is approximately 43.67%.

AI explanation

Let the cost price be C; the loss at Rs. 1500 is (C - 1500) and the profit at Rs. 1900 is (1900 - C). Since the loss is 50 percent more than the profit, C - 1500 = 1.5 * (1900 - C), which solves to C = 1740. Selling the product for Rs. 2500 gives a profit of Rs. 760, making the profit percentage (760 / 1740) * 100 = 43.7 percent.

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