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    Question

    P and Q can complete a work in 26 days and 39 days,

    respectively. P, Q and R together can complete the work in 13 days. If R get a total wage of Rs. 5850 to complete the work alone, then find the per day wage of R.
    A Rs. 75 Correct Answer Incorrect Answer
    B Rs. 80 Correct Answer Incorrect Answer
    C Rs. 65 Correct Answer Incorrect Answer
    D Rs. 70 Correct Answer Incorrect Answer

    Solution

    Let the total work be LCM of (26, 39 and 13) = 78 units Number of units of work done by P alone in one day = 78/26 = 3 units Number of units of work done by Q alone in one day = 78/39 = 2 units Number of units of work done by P, Q and R together in one day = 78/13 = 6 units Number of units of work done by R alone in one day = 6 – 3 – 2 = 1 unit So, time taken by R alone to complete the work = 78/1 = 78 days So, per day wage of R = 5850/78 = Rs. 75

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