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

• A. $300$
• B. $400$
• C. $600$
• D. $800$

Answer 1

Answer: (B)

$400$

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 (for 3 days)$=Rs.(3\times \frac{1}{24}\times 3200)=Rs.400$