Multiple choice

A person offered a discount of 25% on a pair of shoes and sold them at a profit of 50%. Had he sold them at a 50% discount, what percentage profit or loss would he have made?

  1. 29.44% profit

  2. 10% loss

  3. 4% profit

  4. No profit, no loss

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the cost price be 100. Selling at 25% discount means selling at 75% of marked price (MP), which equals 150 (50% profit). Thus, MP = 150/0.75 = 200. Selling at 50% discount means selling at 100, which is exactly the cost price, resulting in no profit or loss.

AI explanation

Let the cost price of the shoes be 100. Since the profit is 50%, the selling price is 150. A discount of 25% means the shoes were sold at 75% of the marked price, so 0.75 times marked price equals 150, making the marked price 200. If he gives a 50% discount on this marked price, the new selling price is 50% of 200, which is exactly 100. Since the new selling price equals the cost price of 100, the result is no profit, no loss.

Keep practicing — related questions