Question
A invests ₹60,000 in a business for a whole year. B
joins after 4 months with ₹80,000, and C joins after 6 months with ₹1,20,000. At the end of the year, the total profit is ₹2,60,000. Find B’s share of the profit.Solution
Compute “capital × time”: A: 60,000 for 12 months → 60,000 × 12 = 7,20,000 B: 80,000 for 8 months → 80,000 × 8 = 6,40,000 C: 1,20,000 for 6 months → 1,20,000 × 6 = 7,20,000 Ratio A : B : C = 7,20,000 : 6,40,000 : 7,20,000 Divide by 80,000: A : B : C = 9 : 8 : 9 Total parts = 9 + 8 + 9 = 26 B’s share = (8/26) × 2,60,000 = (4/13) × 2,60,000 = 80,000
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