Question
A, B, and C invest in a business. A invests ₹45,000 for 10 months, B invests ₹30,000 for 12 months, C invests ₹60,000 for 6 months. If the total profit at the end of the year is ₹1,17,000, what is B’s share of the profit?
Solution
Compute “capital × time” for each: A: 45,000 × 10 = 4,50,000 B: 30,000 × 12 = 3,60,000 C: 60,000 × 6 = 3,60,000 Ratio A : B : C = 4,50,000 : 3,60,000 : 3,60,000 Divide by 90,000 → 5 : 4 : 4 Total parts = 5 + 4 + 4 = 13 Total profit = ₹1,17,000 1 part = 1,17,000 ÷ 13 = 9,000 B’s share = 4 parts = 4 × 9,000 = ₹36,000
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