Question
A, B and C invest in a business. A invests ₹40,000 for 12 months, B invests ₹60,000 for 12 months, C invests ₹80,000 for 6 months. If the total profit at the end of the year is ₹49,000, what is C’s share in the profit?
Solution
Calculate “capital × time”: A: 40,000 × 12 = 4,80,000 B: 60,000 × 12 = 7,20,000 C: 80,000 × 6 = 4,80,000 Ratio A : B : C = 4,80,000 : 7,20,000 : 4,80,000 Divide by 80,000 → 6 : 9 : 6 Divide by 3 → 2 : 3 : 2 Total parts = 2 + 3 + 2 = 7 Total profit = 49,000 1 part = 49,000 / 7 = 7,000 C’s share = 2 parts = 2 × 7,000 = ₹14,000
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