Question

A and B undertake a piece of work for ₹ 200. A alone can do it in 6 days and B in 8 days. With the help of C they can finish it in 3 days. The amount paid to C is _____.

• A. ₹ 25
• B. ₹ 26
• C. ₹ 27
• D. ₹ 28

Answer 1

The correct option is A

₹ 25

All the three are working for three days and the payment for this work is ₹ 200.

A can do the work in 6 days and hence A can do $\frac{1}{6}$ of the work in one day.
A’s work for 3 days = $3\times \frac{1}{6}=\frac{1}{2}$
$\therefore$ A gets $\frac{1}{2}\times$ ₹ 200 = ₹ 100

B can do the work in 8 days and hence B can do $\frac{1}{8}$ of work in one day.
B’s work for 3 days $3\times \frac{1}{8}=\frac{3}{8}$
$\therefore$ B gets $\frac{3}{8}\times$ ₹ 200 = ₹ 75

$\therefore$ C gets the rest, i.e., 200 - ( 100 + 75) = ₹ 25