Multiple choice

John sells a cap at a discount on its marked price of Rs. 240. In a clearance sale, he gives an additional discount of 26%, thus selling it at Rs. 108. Find the first discount.

  1. 22.98%

  2. 24.09%

  3. 39.18%

  4. 32.98%

  5. 23.98%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the marked price be 240. After the first discount x, the price is 240(1 - x/100). After a further 26% discount, the price is 240(1 - x/100)(0.74) = 108. Solving for x: (1 - x/100) = 108 / (240 * 0.74) = 108 / 177.6 = 0.6081. Thus, x = 39.19%.

AI explanation

The final selling price of 108 represents 74% of the price after the first discount, calculated as 100% minus the 26% additional discount. The price after the first discount is 108 / 0.74, which equals approximately 145.95. The first discount is calculated as ((240 - 145.95) / 240) * 100. This results in a first discount of 39.18%.

Keep practicing — related questions