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 Tk. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

Question: 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 Tk. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

Solution:
C's 1 day's work = 1/3 - (1/6 + 1/8)
= (1/3) - (7/24)
= 1/24

A's wages: B's wages: C's wages = 1/6 : 1/8 : 1/24
= 4 : 3 : 1.

C's share (for 3 days) = Tk. 3 × 1/24 × 3200 = Tk. 400.