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    Question

    A can do a piece of work in 12 days, while B alone can

    do it in 18 days. They work together for 6 days and the rest of the work is completed by C in 4 days. If they get Rs. 720 for the whole work, how should they divide the money?
    A Rs. 300, Rs. 200, Rs. 220 Correct Answer Incorrect Answer
    B Rs. 360, Rs. 140, Rs. 220 Correct Answer Incorrect Answer
    C Rs. 300, Rs. 240, Rs. 180 Correct Answer Incorrect Answer
    D Rs. 360, Rs. 240, Rs. 120 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Work done by A and B in 6 days = {(1)/(12) + (1)/(18)} x 6 = (5)/(6) Work remaining = 1 - (5/6) = (1/6) C alone can do the work in 6 x 4 = 24 days Ratio of their share work = (6/12) : (6/18) : (4/24) = 3:2:1 Share of A’s wages = (3/6) x 720 = Rs. 360 Share of B’s wages = (2/6) x 720 = Rs. 240 Share of C’s wages = (1/6) x 720 = Rs. 120

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