Question

The work done by a man, a woman, and a child is in the ratio of 3: 2: 1. There are 20 men, 30 women and 36 children in a factory. Their weekly wages amount to Rs 780, which is divided in the ratio of work done by the men, women, and children. What will be the wages of 15 men, 21 women and 30 children for 2 weeks?

• A. Rs 585
• B. Rs 292.5
• C. Rs 1170
• D. Rs 900

Answer 1

The correct option is C Rs 1170

$\begin{array}{cccc}& Men& Women& Children\\ Work& 3& 2& 1\\ Numbers& 20& 30& 36\end{array}Ratioofwages=(3\times 20):(2\times 30):(1\times 36)=5:5:3$
Total wages of men $=\frac{5}{13}\times 780=Rs300$
$\therefore$ Wages of a man = Rs 15
Similarly, wages of woman = Rs 10
and wages of child = Rs 5
Total wages of 15 men, 21 women and 30 children $=15\times 15+21\times 10+30\times 5=585$
Total wages for 2 weeks = Rs 1170