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    Question

    X and Y started a business by investing Rs. 8,000 and

    Rs. 12,000 respectively. After 6 months, Z joined them with an investment of Rs. 10,000. At the end of the year, the total profit was Rs. 40,000. Find the difference between the profit shares of Y and Z.
    A RS.12,000 Correct Answer Incorrect Answer
    B Rs.11,200 Correct Answer Incorrect Answer
    C Rs.10,200 Correct Answer Incorrect Answer
    D Rs.11,500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Ratio of profit shares of X, Y, Z = (8000 × 12):(12000 × 12):(10000 × 6) = 96000 : 144000 : 60000 = 16:24:10 = 8:12:5 So, Y’s share = 40000 × (12/25) = Rs. 19,200 Z’s share = 40000 × (5/25) = Rs. 8,000 Required difference = 19200 - 8000 = Rs.11,200

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