The average salary of male employees in a firm was Rs.520 and that of females was Rs.420. The mean salary of all the employees was Rs.500. The percentage of male employees is

# The average salary of male employees in a firm was Rs.520 and that of females was Rs.420. The mean salary of all the employees was Rs.500. The percentage of male employees is

1. A

80%

2. B

60%

3. C

40%

4. D

20%

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### Solution:

Since,

Also we know $\overline{\mathrm{x}}=\frac{{\mathrm{n}}_{1}{\overline{\mathrm{x}}}_{1}+{\mathrm{n}}_{2}{\overline{\mathrm{x}}}_{2}}{{\mathrm{n}}_{1}+{\mathrm{n}}_{2}}$

$\begin{array}{l}⇒ 500\left({\mathrm{n}}_{1}+{\mathrm{n}}_{2}\right)=520{\mathrm{n}}_{1}+420{\mathrm{n}}_{2}\\ ⇒ 20{\mathrm{n}}_{1}={80}_{{\mathrm{n}}_{2}}\\ ⇒ {\mathrm{n}}_{1}:{\mathrm{n}}_{2}=4:1\end{array}$

Hence, the percentage of male employees in the firm

$=\left(\frac{4}{4+1}\right)×100=80\mathrm{%}$

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