Question

    ‘G’ and ‘H’ can complete an assignment in 60

    days, while ‘H’ and ‘I’ can complete it in 45 days. ‘G’ and ‘H’ worked together on it for 50 days, after which ‘I’ alone finished the remaining work in 12 days. If ‘G’, ‘H’, and ‘I’ commenced an assignment and worked jointly till completion, earning a total of Rs. 1650 in wages, then the share of ‘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 ‘G’ and ‘H’ per day = 180/60 = 3 units Work done by ‘H’ and ‘I’ per day = 180/45 = 4 units Work done by ‘G’ and ‘H’ in 50 days = 50 × 3 = 150 units Remaining work = 180 - 150 = 30 units Efficiency of ‘I’ = 30/12 = 2.5 units per day Efficiency of ‘H’ = 4 - 2.5 = 1.5 units per day Efficiency of ‘G’ = 3 - 1.5 = 1.5 units per day Share of ‘G’ = (1.5 / (1.5 + 1.5 + 2.5)) × 1650 = Rs 450  

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