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    Question

    P and Q invested Rs. 18000 and Rs. 12000 in a business.

    After 8 months, R joined with Rs. 24000. At the end of the year, P’s share is Rs. 2400 more than Q’s share. Find the total profit.
    A Rs.28525 Correct Answer Incorrect Answer
    B Rs.15200 Correct Answer Incorrect Answer
    C Rs.20125 Correct Answer Incorrect Answer
    D Rs.22125 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Profit share ratio = (18000 × 12) : (12000 × 12) : (24000 × 4)
    = 216000 : 144000 : 96000
    = 9 : 6 : 4 Sum = 9 + 6 + 4 = 19
    Let total profit = 19x
    ATQ,
    9x – 6x = 2400
    3x = 2400
    x = 800 Total profit = 19 × 800 = Rs. 15200

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