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    Arin alone can do a piece of work in 6 days and Selvi alone can do the same in 8 days. Arin and Selvi undertook to do it for Rs. 7,200. With the help
    Question

    Arin alone can do a piece of work in 6 days and Selvi alone can do the same in 8 days. Arin and Selvi undertook to do it for Rs. 7,200. With the help of Kevin, they completed the work in 3 days. How much is to be paid to Kevin?

    A.

    Rs. 900

    B.

    Rs. 700

    C.

    Rs. 800

    D.

    Rs. 600

    Correct option is A

    Solution:

    Total Work = LCM of 6, 8 and 3 = 24 unit

    Efficiency of Arin = 246\frac{24}6​ = 4 unit per day

    Efficiency of Selvi = 248\frac{24}8​ = 3 unit per day

    Efficiency of Kevin+ Arin+ Selvi = 243\frac{24}{3 }​= 8 unit per day

    Efficiency of Kevin = 8 - 4-3 = 1unit

    Share of Kevin = 38\frac38​ ×2400 = Rs.900

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