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      Question

      ‘D’ and ‘E’ together can finish a task in 40

      days, while ‘E’ and ‘F’ together can finish the same task in 30 days. ‘D’ and ‘E’ together worked on it for 35 days and then ‘F’ alone completed the remaining work in 10 days. If ‘D’, ‘E’, and ‘F’ started a certain task and worked together till its completion for which they received Rs. 1800 as total wage, then the share of ‘D’ out of the total wage will be:
      A Rs 100 Correct Answer Incorrect Answer
      B Rs 150 Correct Answer Incorrect Answer
      C Rs 200 Correct Answer Incorrect Answer
      D Rs 250 Correct Answer Incorrect Answer
      E Rs 300 Correct Answer Incorrect Answer

      Solution

      Let the total amount of work = LCM of 40 and 30 = 120 units Work done by ‘D’ and ‘E’ in one day = 120/40 = 3 units Work done by ‘E’ and ‘F’ in one day = 120/30 = 4 units Work done by ‘D’ and ‘E’ in 35 days = 35 × 3 = 105 units Remaining work = 120 - 105 = 15 units Efficiency of ‘F’ = 15/10 = 1.5 units per day Efficiency of ‘E’ = 4 - 1.5 = 2.5 units per day Efficiency of ‘D’ = 3 – 2.5 = 0.5 units per day Share of ‘D’ = (0.5 / (0.5 + 2.5 + 1.5)) × 1800 = Rs 200

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