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For a business, A invests Rs. 36,000. After nine months, B joins and invests Rs. 54,000 and A withdraws Rs. 2,000. After another six months, C joins and invests Rs. 88,000 and A withdraws Rs. 2,000 and B withdraws Rs. 2,000. After twenty months, they earn a profit. What is the ratio of their profit shares?

For a business, A invests Rs. 36,000. After nine months, B joins and invests Rs. 54,000 and A withdraws Rs. 2,000. After another six months, C joins and invests Rs. 88,000 and A withdraws Rs. 2,000 and B withdraws Rs. 2,000. After twenty months, they earn a profit. What is the ratio of their profit shares? Correct Answer 86 ∶ 73 ∶ 55

Ratio of their share in profit = Ratio of their investments

⇒ 36000 × 9 + 34000 × 6 + 32000 × 5 ∶ 54000 × 6 + 52000 × 5 ∶ 88000 × 5

Thus, ratio of their investments = 688000 ∶ 584000 ∶ 440000 = 688 ∶ 584 ∶ 440 = 86 ∶ 73 ∶ 55

Ratio of profit shares = Ratio of investments = 86 ∶ 73 ∶ 55

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