Question
A man invested ₹12,000 in a business, and his partner
invested ₹15,000. After 8 months, the first partner withdrew half of his investment. If the total profit at the end of the year was ₹7,200, find the share of the first partner.Solution
For the first 8 months, the first partner’s investment = ₹12,000. After 8 months, the investment is halved, so for the remaining 4 months, it becomes ₹6,000. The second partner’s investment for 12 months is ₹15,000. The profit ratio is (12,000 × 8 + 6,000 × 4):(15,000 × 12) = 2:3. Share of the first partner = 2/(3+2) × ₹7,200 = ₹2,880. Answer: c) ₹2,880
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