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    Question

    P alone can finish the work in 8 days, while Q alone

    takes 24 days. R completes 50% of the work in 5x days, and the remaining 50% is completed by P and Q together in x days. If the total payment for the work is Rs. 8000, what is P's share of the payment?
    A Rs.2500 Correct Answer Incorrect Answer
    B Rs.1400 Correct Answer Incorrect Answer
    C Rs.3000 Correct Answer Incorrect Answer
    D Rs.1800 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    As 'R' has completed 50% of the work, So, share of 'R' = 0.5 × 8000 = Rs. 4000 Remaining balance = 8000 – 4000 = Rs. 4000 Ratio of efficiency of P and Q = (1/8): (1/24) = 3: 1 So, share of P's in profit = [3/ (3 + 1)] × 4000 = Rs. 3000

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