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      Question

      Pooja can finish a task by herself in 12 days, while when

      working together, Manju and Pooja can complete the same task in 6 days. Manju starts the work alone but leaves after 4 days, after which Pooja completes the remaining work on her own. If the total payment for completing the work under this arrangement is Rs. 8,400, how much of this amount does Manju receive?
      A Rs.2,800 Correct Answer Incorrect Answer
      B Rs.2,318 Correct Answer Incorrect Answer
      C Rs.3,200 Correct Answer Incorrect Answer
      D Rs.3,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;
      Let the total work = L.C.M of 12 and 6 = 12 units

      Then, efficiency of 'Pooja' alone = 12 ÷ 12 = 1 unit/day

      Combined efficiency of 'Manju' and 'Pooja' = 12 ÷ 6 = 2 units/day

      So, efficiency of 'Manju' alone = 2 - 1 = 1 unit/day

      Work done by 'Manju' alone in 4 days = 1 × 4 = 4 units

      So, payment received by 'Manju' = (4/12) × 8400 = Rs. 2,800

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