Question
A, B and C start a business. A invests Rs. 30,000 for 12 months, B invests Rs. 40,000 for 9 months and C invests Rs. 50,000 for 6 months. If the total profit at the end of the year is Rs. 34,000, what is B’s share of the profit?
Solution
ATQ, Investment × time: A: 30,000 × 12 = 3,60,000 B: 40,000 × 9 = 3,60,000 C: 50,000 × 6 = 3,00,000 Ratio A : B : C = 360000 : 360000 : 300000 Divide by 60,000 → 6 : 6 : 5 Total parts = 6 + 6 + 5 = 17 Total profit = 34,000 B’s share = (6/17) × 34,000 34,000 / 17 = 2,000 So B’s share = 6 × 2,000 = 12,000
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