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

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.