P and Q can complete a work in 28 days and 42 days, respectively. P, Q and R together can complete the work in 14 days. If R get a total wage of Rs. 5460 to complete the work alone, then find the per day wage of R.
Let the total work be LCM of (28, 42 and 14) = 84 units Number of units of work done by P alone in one day = 84/28 = 3 units Number of units of work done by Q alone in one day = 84/42 = 2 units Number of units of work done by P, Q and R together in one day = 84/14 = 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 = 84/1 = 84 days So, per day wage of R = 5460/84 = Rs. 65
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