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

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