Question

The average monthly salary of workers in a factory is $₹ \,206$. If the average monthly salary of males and females are $₹\, 210$ and $₹\, 190$ respectively, the percentage of females employed in the factory is

• A. $10\%$
• B. $50\%$
• C. $30\%$
• D. $20\%$

Answer 1

Answer: (D)

Let number of males $= x$
and number of females $= y$
According to question, $206(x + y) = 210 \,x + 190\, y$
$\Rightarrow 206\,x + 206\,y = 210\,x+190\,y$
$\Rightarrow 4x = 16y$
$\Rightarrow x = 4y$
So $\%$ of females employed in the factory $=\frac{y}{5\,y} \times 100$
$= \frac{1}{5}\times100=20\%$