ArithmeticA, B and C contract a work for Rs. 160. A and B together complete 3/8 of the work. Find the share of C.

A, B and C contract a work for Rs. 160. A and B together complete 3/8 of the work. Find the share of C.

A
Rs. 90
B
Rs. 120
C
Rs. 80
D
Rs. 100

Solution:

C alone complete a work of $1 - \frac{3}{8} \Rightarrow \frac{5}{8}$

The ratio of works done A, B and C is

$\begin{array}{l} \Rightarrow A + B : C \Rightarrow \frac{3}{8} : \frac{5}{8} \\ \Rightarrow 3 : 5 \\ C g e t s \Rightarrow \frac{5}{8} \times 160 \Rightarrow 100 \end{array}$