Question

A man and a boy received Rs. $800$ as wages for $5$ days for the work they did together. The man's efficiency in the work was three times that of the boy. What are the daily wages of the boy?

• A. Rs. $76$
• B. Rs. $56$
• C. Rs. $44$
• D. Rs. $40$

Answer 1

The correct option is D Rs. $40$

5 day's wages for a man and a boy = Rs. $800$
$\therefore$ 1 days' wage for a man and a boy = Rs. $\frac{800}{5}$
= Rs. $160$
Let the wage of the boy per day be Rs. $x$. Then, Wage of the man per day = Rs. $3x$
Given $3x+x=160$
$\Rightarrow 4x=160\Rightarrow x=40$