Question
A and B start a business with investments of ₹60,000 and ₹90,000 respectively. After 4 months, C joins with ₹1,20,000. At the end of the year, the total profit is ₹2,30,000. What is B’s share in the profit?
Solution
ATQ, Time (months) of investments: A: 60,000 for 12 months → 60,000 × 12 = 7,20,000 B: 90,000 for 12 months → 90,000 × 12 = 10,80,000 C: 1,20,000 for 8 months → 1,20,000 × 8 = 9,60,000 Ratio A:B:C = 7,20,000 : 10,80,000 : 9,60,000 Divide by 1,20,000 → 6 : 9 : 8 Sum of parts = 6 + 9 + 8 = 23 Each part of profit = 2,30,000 / 23 = 10,000 B’s share = 9 × 10,000 = ₹90,000.
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