Question

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.The amount of money paid to C is = Rs. ___

Answer 1

All the three are doing work for three days and the payment for this work is Rs. 200
A's 1 day work = $\frac{1}{6}$
A’s work for 3 days = $3\times \frac{1}{6}=\frac{1}{2}$
$\therefore$ A gets $\frac{1}{2}\times Rs.200=Rs.100$
B's 1 day work = $\frac{1}{8}$
B’s work for 3 days $3\times \frac{1}{8}=\frac{3}{8}$
$\therefore$ B gets $\frac{3}{8}\times Rs.200=Rs.75$
$\therefore$ C gets the rest, i.e., (Rs. 200 - Rs. 100 - Rs. 75) = Rs.25