Multiple choice

The marked price of an article is Rs. 530. After two successive discounts, it is sold for Rs. 396.44. If the first discount is 15%, and the second discount is x%, then what is the value of x?

  1. 10.5

  2. 10

  3. 12.5

  4. 12

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

The price after the first 15% discount is 530 * 0.85 = 450.5. To find the second discount x, solve 450.5 * (1 - x/100) = 396.44, which gives (1 - x/100) = 0.88, so x = 12.

AI explanation

After the first discount of 15%, the price becomes 530 times 0.85, which equals 450.50. The price is further reduced to 396.44, meaning the second discount amount is 450.50 minus 396.44, or 54.06. The second discount percentage is (54.06 divided by 450.50) times 100, which equals exactly 12. The value of x is 12.