Multiple choice

Ram sells two articles A and B. He earns a profit of 25% on article A and a loss of 10% an article B. If he calculated profit of A an SP and loss of B an its CP and ratio of cost price of article A and B is 3 : 1. Find the overall profit/loss percentage. राम दो वस्तुएँ A तथा B बेचता है। वह वस्तु A पर 25% का लाभ कमाता है और वस्तु B पर 10% की हानि कमाता है। यदि वस्तु A पर लाभ विक्रय मूल्य पर करता है और वस्तु B पर हानि की गणना को गणना क्रय मूल्य पर करता है और वस्तु A तथा वस्तु B के क्रय मूल्य का अनुपात 3 : 1 है तो उसका समस्त लाभ हानि प्रतिशत ज्ञात कीजिए।

  1. 25% profit/लाभ

  2. 25% loss/हानि

  3. 22.5 profit/लाभ

  4. 22.5% loss/हानि

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

Let CP of A = 3x, CP of B = x. A: 25% profit on SP means SP_A = CP_A + 0.25×SP_A, so 0.75×SP_A = 3x, SP_A = 4x. B: 10% loss on CP means SP_B = 0.9×CP_B = 0.9x. Total CP = 4x, Total SP = 4x + 0.9x = 4.9x. Profit = 0.9x on CP of 4x, which is 0.9/4 = 22.5%. Wait, this calculation gives 22.5% which is option C. But let me verify: profit = 4.9x - 4x = 0.9x. Percentage = (0.9x/4x) × 100 = 22.5%. Yes, 22.5% profit is correct.