NCHMCT JEE 2018 Question Paper with solutions for online practice

A’s 1 day work $=\frac{1}{10}$
B’s 1 day work $=\frac{1}{15}$
(A + B)’s 1 day work $=\frac{1}{10}+\frac{1}{15}=\frac{3+2}{30}$
$=\frac{5}{30}=\frac{1}{6}$
(A + B)’s 5 days work $=5\times \frac{1}{6}=\frac{5}{6}$
Remaining work $=1-\frac{5}{6}=\frac{1}{6}$
$\because \frac{1}{6}$ of work, C can do in 2 days
∴ Whole work C can do in 12 days
Ratio of their work $=\frac{1}{10}:\frac{1}{15}:\frac{1}{12}$
$=6:4:5$
[LCM of 10, 15, 12 = 60]
Amount of C $=\frac{5}{15}\times 450=\mathit{₹}150$