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      Question

      Bhuvan can finish a task by himself in 15 days, while when

      working together, Anoop and Bhuvan can complete the same task in 8 days. Anoop starts the work alone but leaves after 12 days, after which Bhuvan completes the remaining work on his own. If the total payment for completing the work under this arrangement is Rs. 7,200, how much of this amount does Anoop receive?
      A Rs.6,238 Correct Answer Incorrect Answer
      B Rs.3,318 Correct Answer Incorrect Answer
      C Rs.5,246 Correct Answer Incorrect Answer
      D Rs.5,040 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;
      Let the total work = L.C.M of 15 and 8 = 120 units

      Then, efficiency of 'Bhuvan' alone = 120 ÷ 15 = 8 units/day

      Combined efficiency of 'Anoop' and 'Bhuvan' = 120 ÷ 8 = 15 units/day

      So, efficiency of 'Anoop' alone = 15 - 8 = 7 units/day

      Work done by 'Anoop' alone in 12 days = 7 X 12 = 84 units

      So, payment received by 'Anoop' = (84/120) X 7200 = Rs.5,040

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