Multiple choice

A man sells a T.V. set for Rs 3450 and makes a profit of 15%. He sells a second T.V. set at a loss of 10%. If on the whole he neither gains nor loses, find the cost price of the second T.V. set.

  1. $Rs 3450$
  2. $Rs 4500$
  3. $Rs 3018$
  4. $Rs 2016$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First TV: SP = Rs 3450, profit = 15%. So CP = 3450 ÷ 1.15 = Rs 3000. Let second TV's CP = y. It sells at 10% loss, so SP = 0.9y. Overall: neither gain nor loss, so total SP = total CP. 3450 + 0.9y = 3000 + y. So 3450 - 3000 = y - 0.9y, giving 450 = 0.1y. Therefore y = Rs 4500.