Question

A room cooler is marked for ₹ 13,500 and is available at an off-season discount of 15%. The shopkeeper offers another discount to his friend and sells the cooler for ₹ 10,557. The percentage of second discount given to his friend is:

• A. 6%
• B. 8%
• C. 10%
• D. 9%

Hint:

The percentage discount is calculated by dividing the amount of discount by the price after the first discount.

Answer 1

The Correct Option is B

The marked price of the cooler is ₹ 13,500. The first discount of 15% on ₹ 13,500 is: \[ \text{First discount} = 15% \times 13,500 = 0.15 \times 13,500 = 2,025. \] The price after the first discount is: \[ \text{Price after first discount} = 13,500 - 2,025 = 11,475. \] The cooler is finally sold for ₹ 10,557, so the second discount is: \[ \text{Second discount} = 11,475 - 10,557 = 918. \] Now, the percentage of the second discount is: \[ \text{Percentage of second discount} = \frac{918}{11,475} \times 100 = 8%. \] Thus, the second discount given to the friend is 8%, corresponding to option (2).