Multiple choice

Simran sold two radios for rupees 2000 each. On one she gains 16% and on the other she loses 16%. Find her gain or loss percent in the whole transaction.

  1. $2.56% gain$
  2. $4.68 %loss$
  3. $2.56% loss$
  4. $4.68% gain$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When selling two items at the same price, one at x% gain and the other at x% loss, the overall transaction always results in a loss of (x/10)^2%. Here x = 16, so loss = (16/10)^2 = 2.56%. The total selling price is Rs 4000, but the total cost price is higher (Rs 4105.60), resulting in a 2.56% loss. Option C is correct.