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      Question

      P and Q can complete a work in 38 days and 57 days,

      respectively. P, Q and R together can complete the work in 19 days. If R get a total wage of Rs. 6270 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 (38, 57 and 19) = 114 units Number of units of work done by P alone in one day = 114/38 = 3 units Number of units of work done by Q alone in one day = 114/57 = 2 units Number of units of work done by P, Q and R together in one day = 114/19 = 6 units Number of units of work done by R alone in one day = 6 тАУ 3 тАУ 2 = 1 unit So, time taken by R alone to complete the work = 114/1 = 114 days So, per day wage of R = 6270/114 = Rs. 55

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