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    Question

    Rohit and Usha can complete a task individually in 24 days

    and 60 days, respectively. When they work together along with Vipul, the same task is finished in 240/19 days. If the total wages for the work amount to Rs. 10,260, what is Vipul's share of the wages?
    A Rs. 2,400 Correct Answer Incorrect Answer
    B Rs. 2,160 Correct Answer Incorrect Answer
    C Rs. 2,700 Correct Answer Incorrect Answer
    D Rs. 1,920 Correct Answer Incorrect Answer
    E Rs. 3,200 Correct Answer Incorrect Answer

    Solution

    Let the total work be 120 units (LCM of 24 and 60)

    Efficiency of Rohit = (120/24) = 5 units/day

    Efficiency of Usha = (120/60) = 2 units/day

    Let the efficiency of Vipul be 'm' units/day.

    So, 5 X (240/19) + 2 X (240/19) + m X (240/19) = 120

    Or, (1200/19) + (480/19) + (240m/19) = 120

    Or, (1680/19) + (240m/19) = 120

    Or, (240m/19) = 120 - (1680/19) = (600/19)

    Or, 240m = 600

    Or, 'm' = 2.5

    Ratio of the wages of Rohit, Usha and Vipul respectively = 5:2:(2.5) = 10:4:5

    Therefore, wages earned by Vipul = (5/19) X 10,260 = Rs. 2,700

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