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    Question

    P and Q can complete a work in 36 days and 54 days,

    respectively. P, Q and R together can complete the work in 18 days. If R get a total wage of Rs. 5940 to complete the work alone, then find the per day wage of R.
    A Rs. 65 Correct Answer Incorrect Answer
    B Rs. 75 Correct Answer Incorrect Answer
    C Rs. 55 Correct Answer Incorrect Answer
    D Rs. 45 Correct Answer Incorrect Answer
    E Rs. 85 Correct Answer Incorrect Answer

    Solution

    Let the total work be LCM of (36, 54 and 18) = 108 units Number of units of work done by P alone in one day = 108/36 = 3 units Number of units of work done by Q alone in one day = 108/54 = 2 units Number of units of work done by P, Q and R together in one day = 108/18 = 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 = 108/1 = 108 days So, per day wage of R = 5940/108 = Rs. 55

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