A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

Rs. 400

With the help of LCM method, we will be able to draw the following diagram:

Efficiency of A, B and C are as follows:

A = 4, B = 3, A + B + C = 8, C = 1

The amount must be allocated according to the efficiency of each individual. Thus, 3200 will be allocated in the given ratio:

A : B : C = 4 : 3 : 1

Thus, share of C will be \(\frac{ 1}{ 8}\) x 3200 = Rs.400