A B and C can do a piece of work in 4 7 and 8 days respectively They undertook to finish the work to...........

Quant (SSC) Time and work

A, B and C can do a piece of work in 4, 7 and 8 days respectively. They undertook to finish the work together for Rs. 53650. Find the difference (in Rs.) between the share of A and that of B.

10100

11100

11650

12560

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Explanation:

We know that
The ratio of shares of A, B and C = The ratio of their efficiencies
= 1/4 : 1/7 : 1/8
= 14/56 : 8/56 : 7/56 = 14 : 8 : 7
Difference between the shares of A and B in ratio = 6/29
∴ Actual difference in value = 6/29 x 53650 = 11100