Question

The mean yearly salary of an employee of acompany was Rs. $20,000$. If the mean yearly salaries of male and female employees were Rs. $20800$ and Rs. $16800$ respectively, then the percentages of males and females employed in the company respectively are

• A. $80\%$ and $20\%$
• B. $70\%$ and $30\%$
• C. $55\%$ and $45\%$
• D. $50\%$ and $50\%$

Answer 1

The correct option is A $80\%$ and $20\%$

Let the number of male and female employees be $x$ and $y$ respectively. Then
$20800x+16800y=20000(x+y)$
$\Rightarrow 208x+168y=200(x+y)$
$\Rightarrow 8x=32y$
$\Rightarrow x=4y$
$\%$ of male employees $=\frac{x}{x+y}\times 100$
$=\frac{4y}{4y+y}\times 100=80$%
$\%$ of female employees $=\frac{y}{x+y}\times 100$
$=\frac{y}{4y+y}\times 100=20$ $\%$