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    Question

    β€˜D’ and β€˜E’ together can finish a task in 40

    days, while β€˜E’ and β€˜F’ together can finish the same task in 30 days. β€˜D’ and β€˜E’ together worked on it for 35 days and then β€˜F’ alone completed the remaining work in 10 days. If β€˜D’, β€˜E’, and β€˜F’ started a certain task and worked together till its completion for which they received Rs. 1800 as total wage, then the share of β€˜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 β€˜D’ and β€˜E’ in one day = 120/40 = 3 units Work done by β€˜E’ and β€˜F’ in one day = 120/30 = 4 units Work done by β€˜D’ and β€˜E’ in 35 days = 35 Γ— 3 = 105 units Remaining work = 120 - 105 = 15 units Efficiency of β€˜F’ = 15/10 = 1.5 units per day Efficiency of β€˜E’ = 4 - 1.5 = 2.5 units per day Efficiency of β€˜D’ = 3 – 2.5 = 0.5 units per day Share of β€˜D’ = (0.5 / (0.5 + 2.5 + 1.5)) Γ— 1800 = Rs 200

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