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    Question

    X and Y started a business by investing Rs. 30000 and

    Rs. 20000 respectively. After 6 months, Z joined with an investment of Rs. 25000. At the end of one year, X’s share in profit is Rs. 4500 more than Y’s share. Find the total profit earned.
    A Rs.28525 Correct Answer Incorrect Answer
    B Rs.28125 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 = (30000 × 12) : (20000 × 12) : (25000 × 6)
    = 360000 : 240000 : 150000
    = 24 : 16 : 10 Sum = 24 + 16 + 10 = 50
    Let total profit = 50x
    ATQ,
    24x – 16x = 4500
    8x = 4500
    x = 562.5 Total profit = 50 × 562.5 = Rs. 28125

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