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    Question

    M and N invested Rs. 3200 and Rs. 4800 respectively.

    After 15 months, M raised his investment by 25% and N decreased his by Rs. 800. If total profit after 3 years is Rs. 9,600, find the difference in their profit shares.
    A Rs.800 Correct Answer Incorrect Answer
    B Rs.520 Correct Answer Incorrect Answer
    C Rs.660 Correct Answer Incorrect Answer
    D Rs.700 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total time = 36 months Split into two parts: First 15 months Next 21 months MтАЩs investment: First 15 months: 3200 Next 21 months: 3200 ├Ч 1.25 = 4000 NтАЩs investment: First 15 months: 4800 Next 21 months: 4800 тИТ 800 = 4000 MтАЩs capital ├Ч time: = (3200 ├Ч 15) + (4000 ├Ч 21) = 48000 + 84000 = 132000 NтАЩs capital ├Ч time: = (4800 ├Ч 15) + (4000 ├Ч 21) = 72000 + 84000 = 156000 Ratio of profits (M:N) = 132000:156000 = 11:13 Total profit = 9600 MтАЩs share = (11/24) ├Ч 9600 = 4400 NтАЩs share = (13/24) ├Ч 9600 = 5200 Difference = 5200 тИТ 4400 = тВ╣800

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