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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 × 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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