Multiple choice

A shopkeeper gives two successive discounts on an article marked 450. The first discount given is 10 per cent. If the customer pays 344.25 for the article, the second discount given is

  1. 14%

  2. 10%

  3. 12%

  4. 15%

  5. 0

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

After a 10% discount on 450, the price becomes 405. Let the second discount be x%. Then 405 * (1 - x/100) = 344.25. Solving this gives 1 - x/100 = 0.85, so x = 15%.

AI explanation

The price after the first 10 percent discount on 450 is 450 * 0.90 = 405. Let the second discount be x percent, so 405 * [(100 - x) / 100] = 344.25. Solving for x gives 100 - x = (344.25 / 405) * 100, which simplifies to 85, making the second discount 15 percent.