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    Question

    β€˜G’ and β€˜H’ can complete an assignment in 60

    days, while β€˜H’ and β€˜I’ can complete it in 45 days. β€˜G’ and β€˜H’ worked together on it for 50 days, after which β€˜I’ alone finished the remaining work in 12 days. If β€˜G’, β€˜H’, and β€˜I’ commenced an assignment and worked jointly till completion, earning a total of Rs. 1650 in wages, then the share of β€˜G’ will be:
    A Rs 300 Correct Answer Incorrect Answer
    B Rs 400 Correct Answer Incorrect Answer
    C Rs 450 Correct Answer Incorrect Answer
    D Rs 500 Correct Answer Incorrect Answer
    E Rs 550 Correct Answer Incorrect Answer

    Solution

    Total work = LCM of 60 and 45 = 180 units Work done by β€˜G’ and β€˜H’ per day = 180/60 = 3 units Work done by β€˜H’ and β€˜I’ per day = 180/45 = 4 units Work done by β€˜G’ and β€˜H’ in 50 days = 50 Γ— 3 = 150 units Remaining work = 180 - 150 = 30 units Efficiency of β€˜I’ = 30/12 = 2.5 units per day Efficiency of β€˜H’ = 4 - 2.5 = 1.5 units per day Efficiency of β€˜G’ = 3 - 1.5 = 1.5 units per day Share of β€˜G’ = (1.5 / (1.5 + 1.5 + 2.5)) Γ— 1650 = Rs 450 Β 

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