Multiple choice

Selling price of two articles are in ratio 5:3 respectively. First article is sold at profit of 25% whereas second article is sold at a loss of 15%. Find the overall profit/loss percentage

  1. 6.25% profit

  2. 6.25% loss

  3. 8.75% profit

  4. 8.75% loss

  5. Can not be determined

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

Let SPs be 5x and 3x. Article 1: CP1 = 5x/1.25 = 4x, profit = x. Article 2: CP2 = 3x/0.85 = 3.529x, loss = 0.529x. Total CP = 7.529x, total SP = 8x. Overall profit = 0.471x. Profit% = 0.471x/7.529x × 100 = 6.26% ≈ 6.25%. Verification: Let article 1 CP = 400, SP = 500 (profit 100). Article 2 CP = 352.94, SP = 300 (loss 52.94). Total CP = 752.94, SP = 800, profit = 47.06. 47.06/752.94 = 6.25%. Correct.