Question

A alone can do a piece of work in 6 days and B in 8 days. A and B agreed to do the work together for Rs. 3200. When C joined them, the three of them completed the work together in 3 days. How much is to be paid to C?

• A. Rs.375
• B. Rs.400
• C. Rs.600
• D. Rs.800
• E. Rs.780

Answer 1

The correct option is B

Rs.400

C’s 1 day’s work = $\frac{1}{3}-(\frac{1}{6}+\frac{1}{8})=\frac{1}{3}-\frac{7}{24}=\frac{1}{24}$

A’s wages : B’s wages : C’s wages = $\frac{1}{6}:\frac{1}{8}:\frac{1}{24}=4:3:1$.

$\therefore$ C’s share = Rs.$(\frac{1}{8}\times 3200)$ = Rs. $400$