A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Rs. 450 for the whole work, how should they divide the money?

Explanation:

According to question, work done by A and B in 5 days

= (1\10+1\15)×5 = 5\6

∴ Rest work = 1−5\6 = 1\6

∴ C alone can do the work in 6×2 = 12 days.

Ratio of their work = 5\10:5\15:2\12 = 3 : 2 : 1

Share of money = 3\6×450 :

2\6×450 : 1\6×450

Rs.225, Rs.150, Rs.75