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    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.
    A ₹3,200 Correct Answer Incorrect Answer
    B ₹3,040 Correct Answer Incorrect Answer
    C ₹2,880 Correct Answer Incorrect Answer
    D ₹2,600 Correct Answer Incorrect Answer

    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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