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    Question

    ‘D’ and ‘E’ can complete a project in 40 days,

    while ‘E’ and ‘F’ can complete it in 60 days. ‘D’ and ‘E’ worked together on it for 30 days and then ‘F’ alone completed the remaining work in 20 days. If ‘D’, ‘E’, and ‘F’ started the project 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 800 Correct Answer Incorrect Answer
    B Rs 900 Correct Answer Incorrect Answer
    C Rs 1000 Correct Answer Incorrect Answer
    D Rs 1200 Correct Answer Incorrect Answer
    E Rs 1500 Correct Answer Incorrect Answer

    Solution

    Let the total amount of work = 240 units (LCM of 40 and 60) Work done by ‘D’ and ‘E’ together in one day = 240 / 40 = 6 units Work done by ‘E’ and ‘F’ together in one day = 240 / 60 = 4 units Work done by ‘D’ and ‘E’ together in 30 days = 30 × 6 = 180 units Remaining work = 240 - 180 = 60 units Efficiency of ‘F’ = 60 / 20 = 3 units per day Efficiency of ‘E’ = 4 - 3 = 1 unit per day Efficiency of ‘D’ = 6 – 1 = 5 units per day Share of ‘D’ = (5 / (5 + 1 + 3)) × 1800 = 5/9 × 1800 = Rs 1000

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