Question
A and B start a business by investing Rs 40,000 and Rs 60,000 respectively. After 4 months, C joins with Rs 50,000. At the end of one year, the total profit is Rs 66,000. Find C’s share in the profit.
Solution
Profit ∝ (Capital × Time in months) A: 40,000 for 12 months → 40,000 × 12 = 4,80,000 B: 60,000 for 12 months → 60,000 × 12 = 7,20,000 C: 50,000 for (12 − 4) = 8 months → 50,000 × 8 = 4,00,000 Ratio A : B : C = 4,80,000 : 7,20,000 : 4,00,000 Divide by 80,000 → 6 : 9 : 5 Total parts = 6 + 9 + 5 = 20 C’s share = (5/20) × 66,000 = (1/4) × 66,000 = 16,500
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