A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is ?

A. Rs. 50

B. Rs. 100

C. Rs. 150

D. Rs. 200

Answer: Option A

Solution(By Examveda Team)

L.C.M. of Total Work = 45
One day work of A = $$\frac{{45}}{{5}}$$ = 9 unit/day
One day work of B = $$\frac{{45}}{{15}}$$ = 3 unit/day
One day work of A + B + C = $$\frac{{45}}{{3}}$$ = 15 unit/day
$$\eqalign{ & {\text{Efficiency of C}} \cr & = 15 - \left( {9 + 3} \right) \cr & = 3 \cr & {\text{C's amount}} \cr & = \frac{{250}}{{15}} \times 3 \cr & = {\text{Rs}}{\text{. 50}} \cr} $$