Question
A and B started a business with investments of Rs. 60,000 and Rs. 80,000 respectively. After 6 months, C joined the business with an investment of Rs. 70,000. At the end of the year, the total profit was Rs. 1,80,000. What was C’s share in the profit?
Solution
ATQ, Capital × Time (in months): A: 60,000 × 12 = 7,20,000 B: 80,000 × 12 = 9,60,000 C: 70,000 × 6 = 4,20,000 Ratio of shares = 720 : 960 : 420 Divide by 60: 12 : 16 : 7 Sum of ratio parts = 12 + 16 + 7 = 35 Total profit = Rs. 1,80,000 C’s share = (7/35) × 1,80,000 = (1/5) × 1,80,000 = Rs. 36,000
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