A, B and C and do a job in 10,15 and 20 days respectively. They start the work together and after some day C left the work. If they got Rs.

Question

A, B and C and do a job in 10,15 and 20 days respectively. They start the work together and after some day C left the work. If they got Rs. 21000 for the job, and B got Rs. 7000 more than C, then after how many days had C left ?​

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Isabella 1 month 2021-08-16T18:08:55+00:00 1 Answer 0 views 0

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    2021-08-16T18:10:34+00:00

    please mark my answer as brainliest please…

    Answer:


    Step-by-step explanation:


    A = 15days, B = 20 days, C= 30 days


    => work rate of A, B and C is


    A = 1/15


    B = 1/20


    C = 1/30


    => Suppose, C received Rs. x


    B = Rs. (x + 6000)


    C = Rs. (x + 6000)


    => They work together for some time and Rs.18000 is paid for their work therefore,


    A+B+C = 18000


    (x + 6000) + (x + 6000) + x = 18000


    3x + 12000 = 18000


    3x = 18000 – 12000


    3x = 6000


    x = 2000


    Thus, C received Rs. 2000, B received Rs. 8000 ( 2000 + 6000 ) and C also received Rs. 8000.



    Now, Pay ratio : A:B:C = 8000 : 8000 : 2000


    ∴ A:B:C = 8:8:2


    => = 8/15 + 8/20 + 2/30


    =32 / 60 + 24 / 60 + 4 / 60


    = 60/60


    = 1


    ∴ A = 8 / 15 days


    ∴ A = 8 days


    Thus, A did work for 8 days.


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