Multiple choice

Two shopkeepers X and Y bought a chair at equal price. X marked up its price by 50%, whereas Y marked up its price by 60%. While selling the chair, X gave two consecutive discounts of 20% and 10%, whereas Y gave two consecutive discounts of 10% and 5%, respectively. Find the difference between the profit % earned by them.

  1. 27%

  2. 28.8%

  3. 29.5%

  4. 30%

  5. 32%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. X: MP = 150. SP = 150 * 0.8 * 0.9 = 108. Profit = 8%. Y: MP = 160. SP = 160 * 0.9 * 0.95 = 136.8. Profit = 36.8%. Difference = 36.8 - 8 = 28.8%.

AI explanation

Let the cost price for both shopkeepers be Rs. 100. Shopkeeper X marks the price to Rs. 150, and applying successive discounts of 20% and 10% gives a final selling price of 150 * 0.8 * 0.9 = Rs. 108, earning an 8% profit. Shopkeeper Y marks the price to Rs. 160, and applying successive discounts of 10% and 5% gives a final selling price of 160 * 0.9 * 0.95 = Rs. 136.80, earning a 36.8% profit. The difference between their profit percentages is 36.8 - 8 = 28.8%.

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