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A can do a piece of work in 8 days and $B$ alone can do the same work in 10 days. A and B agreed to do the work together for Rs.720.With the help of C, they finished the work in 4 days. How much $C$ is to be paid?

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Rs. 72

Rs.

82

Rs. 70

Rs. 80

answer is A.

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Detailed Solution

From the question we have,
C's 1 day work

= \frac{1}{4} - (\frac{1}{8} + \frac{1}{10})

= \frac{1}{4} - \frac{9}{40} \Rightarrow \frac{1}{40}

Wage ratio,
A:B:C

= \frac{1}{8} : \frac{1}{10} : \frac{1}{40} = 5 : 4 : 1

∴

C's share

= \frac{1}{10} \times 720

=

Rs. 72

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