Question

Two men undertake to do a piece of work for Rs. 600. One alone could do it in 6 days and the other in 8 days. With the assistance of a boy they finish it in 3 days. Boy's share should be

• A. Rs 300
• B. Rs 225
• C. Rs 75
• D. Rs 100

Answer 1

The correct option is C Rs 75

$1^{st}$ man's 3 days' work
$=\frac{3}{6}=\frac{1}{2}$

$2^{nd}$ man's 3 days' work
$=\frac{3}{8}$

Boy's 3 days' work
$=1-(\frac{1}{2}+\frac{3}{8})=\frac{1}{8}$

$\therefore$ They should get money in the ratio

$\frac{1}{2}:\frac{3}{8}:\frac{1}{8}i.e.4:3:1$

$\therefore$ Boy's share
$=Rs.\frac{1}{8}\times 600=Rs.75.$