Multiple choice

Naimish bought two articles – P and Q at a total cost of Rs.60800. He sold article – P at 20% profit and article – Q at 12% loss. In the whole deal he made no gain and no loss. At what price should Naimish have sold article Q to make an overall profit of 25%.

  1. 52000

  2. 58000

  3. 48640

  4. 62500

  5. 42600

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

Let CP of P = x, then CP of Q = 60800 - x. No gain no loss: 1.2x + 0.88(60800-x) = 60800. Solving gives x = 22800, so CP of Q = 38000. For 25% profit on total: Target SP = 60800 × 1.25 = 76000. SP of P (unchanged) = 27360. Required SP of Q = 76000 - 27360 = 48640.