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    Question

    A and B together can do a piece of work in 12 days. A

    alone can do it in 20 days. They are paid Rs 8,400 in total for the whole work. Find the shares of 'B'.
    A 3,060 Correct Answer Incorrect Answer
    B 3,360 Correct Answer Incorrect Answer
    C 1,360 Correct Answer Incorrect Answer
    D 3,300 Correct Answer Incorrect Answer

    Solution

    Aโ€™s 1-day work = 1/20 (A + B)โ€™s 1-day work = 1/12 So Bโ€™s 1-day work = 1/12 โˆ’ 1/20 LCM(12,20) = 60 1/12 = 5/60, 1/20 = 3/60 โ‡’ Bโ€™s 1-day work = 2/60 = 1/30 Ratio of work done (or rates): A : B = (1/20) : (1/30) = 30 : 20 = 3 : 2 So they share money in 3 : 2. Aโ€™s share = (3/5) ร— 8,400 = 5,040 Bโ€™s share = (2/5) ร— 8,400 = 3,360.

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