For a business, A invests Rs. 27,000. After five months, B joins and invests Rs. 36,000 and A withdrew Rs. 4,000. After another nine months, C joins and invests Rs. 50,000 and B withdrew Rs. 3,000. After twenty months, the profit earned was Rs. 6,51,000. What is the A’s and B’s share of profit?

LohaHridoy
  1. A = Rs. 1,50,000 B = Rs. 2,61,000
  2. A = Rs. 2,40,000 B = Rs. 3,21,000
  3. A = Rs. 2,56,000 B = Rs. 3,01,600
  4. A = Rs. 2,45,000 B = Rs. 2,62,000
  5. None of the above

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AhmedNazir

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Option 5 : None of the above

Ratio of their share in profit = Ratio of their investments

⇒ 27000 × 5 + 23000 × 15 ∶ 36000 × 9 + 33000 × 6 ∶ 50000 × 6

Thus, ratio of their investments = 480000 ∶ 522000 ∶ 300000 = 480 ∶ 522 ∶ 300 = 80 ∶ 87 ∶ 50

Profit earned after a year = Rs. 6,51,000

A’s share = (80/217) × 651000 = Rs. 240000

B’s share = (87/217) × 651000 = Rs. 261000

Thus, A’s share is Rs. 2,40,000 and B’s share is Rs. 2,61,000.

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