A B C complete a work in 15 20 and 30 days They work together for sometime after which C left A tota...........

Quantitative Aptitude ( CCS) Time and work

A, B, C complete a work in 15, 20 and 30 days . They work together for sometime after which C left. A total of 18000 rs is paid for the work and B gets 6000 rs more than C.For how many days did A work ?

8 days

10 days

12 days

7 days

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Explanation:

Solution:
Total work = 60
A — 4 ,, B– 3 ,,,, C — 2
let A &B work for x days
Then work done by A = 4x
B = 3x
C =60- (4x+3x)
So ratio of their share
4x : 3x : 60-7x
Difference between b and c = 3x – (60-7x) = 10x – 60
( 10x – 60)/60 * 18000 = 6000
so,x =8