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      Question

      Deepak and Divya, alone can complete a work in 18 days and 27 days, respectively. They started the work together and left after 9 days such that the remaining work is completed by Dinesh alone in 9 days. If the total wage fixed for completing the work is Rs. 540, then find the share received by Dinesh.

      A Rs. 180 Correct Answer Incorrect Answer
      B Rs. 90 Correct Answer Incorrect Answer
      C Rs. 120 Correct Answer Incorrect Answer
      D Rs. 100 Correct Answer Incorrect Answer
      E Rs. 150 Correct Answer Incorrect Answer

      Solution

      Let total work = 54 units {LCM of 18 and 27} So, efficiency of β€˜Deepak’ = (54/18) = 3 units/day Efficiency of β€˜Divya’ = (54/27) = 2 units/day Amount of work done by Deepak in 9 days = 3 Γ— 9 = 27 units Amount of work done by Divya in 9 days = 2 Γ— 9 = 18 units Amount of work done by Dinesh = 54 – (27 + 18) = 9 units Ratio of amount of work done by Deepak, Divya and Dinesh = (27 : 18 : 9) = (3 : 2 : 1) Required wages of Dinesh = {1/(3 + 2 + 1)} Γ— 540 = Rs. 90

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