X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?

Q. A and B undertake to do a piece of work for Rs. 200. A alone can do it in 6 days and B in 8 days. With the help of C they finish it in 3 days. How much is paid to C?

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A alone can do a piece of work in 12 days and B alone can do in 16 days. A and B undertook to do it for Rs.3600. With the help of C, they completed the work in 6 days. How much money is to be paid to C?

The correct option is B Rs.450 C's 1 day's work = 16 − (112 + 116) = 16 − 748 = 148 A's wages:B's wages:C's wages = 112:116:148 = 4:3:1 ∴ C's share = Rs(18 × 3600) = Rs.450

The correct option is B
Rs.450

C's 1 day's work = $\frac{1}{6} - (\frac{1}{12} + \frac{1}{16}) = \frac{1}{6} - \frac{7}{48} = \frac{1}{48}$

A's wages:B's wages:C's wages = $\frac{1}{12} : \frac{1}{16} : \frac{1}{48} = 4 : 3 : 1$

$∴$ C's share = Rs $(\frac{1}{8} \times 3600) = R s . 450$