Multiple choice

The marked price of a pen is Rs 3000. The shopkeeper gives two successive discounts of 15% and a% to the customer. If the customer pays Rs 2142 for the pen, then what is the value (in percentage) of a?

  1. 16

  2. 14

  3. 17

  4. 18

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

After 15% discount, price becomes 3000 × 0.85 = 2550. After 'a'% discount, final price is 2142. So 2550 × (1 - a/100) = 2142, giving (1 - a/100) = 2142/2550 = 0.84. Therefore a/100 = 0.16, so a = 16%.