Question
A, B, and C invest in a business. A invests ₹40,000 for 12 months, B invests ₹60,000 for 8 months, C invests ₹50,000 for 6 months. If the total profit at the end of the year is ₹1,26,000, what is A’s share of the profit?
Solution
Compute “capital × time”: A: 40,000 × 12 = 4,80,000 B: 60,000 × 8 = 4,80,000 C: 50,000 × 6 = 3,00,000 Ratio A : B : C = 4,80,000 : 4,80,000 : 3,00,000 Divide by 60,000 → 8 : 8 : 5 Total parts = 8 + 8 + 5 = 21 Total profit = ₹1,26,000 1 part = 1,26,000 ÷ 21 = 6,000 A’s share = 8 parts = 8 × 6,000 = ₹48,000
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