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SSC Sample Paper Mock Test-20 SSC CGL Tear-II Paper-1

  • question_answer
    A alone can do a piece of work in 6 days and B alone in 8 days .A and B undertook to do it for Rs.  3200. With the help of C they completed the work in 3 days. How much is to be paid to C?

    A) Rs. 375

    B)  Rs. 400

    C)  Rs. 600

    D)  Rs. 800

    Correct Answer: B

    Solution :

    A's 1 day's work\[=\frac{1}{6}\] B's 1 day's work \[=\frac{1}{8}\] (A+ B+ C)'s 1 day's Work\[=\frac{1}{3}\] \[\therefore \]C?s 1 day's work \[=\frac{1}{3}-\frac{1}{6}-\frac{1}{8}=\frac{8-4-3}{24}=\frac{1}{24}\] \[\therefore \] Ratio of their one day's work respectively\[=\frac{1}{6}:\frac{1}{8}:\frac{1}{24}=4:3:1\] Sum of the ratios \[=4+3+1=8\] C's share = Rs. \[\frac{1}{8}\times 3200\]= Rs. 400


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