A) Rs.4200
B) Rs.4500
C) Rs.5600
D) Rs.6000
Correct Answer: A
Solution :
Given that, Number of male employees (M) = 45 Number of female employees (F) =15 Mean salary of male employee \[\left( {{{\bar{x}}}_{M}} \right)\] =Rs. 5000 Total number of employees \[=(M+F)\] \[=45+15=60\] Mean salary of employees \[\left( {{{\bar{x}}}_{MF}} \right)=Rs.\,4800\] Let mean salary of female employee is \[{{\bar{x}}_{F}}\] By formula, \[{{\bar{x}}_{MF}}=\frac{M\,\,{{{\bar{x}}}_{M}}+F\,{{{\bar{x}}}_{F}}}{60}\,\,\,\,\] \[\Rightarrow \] \[4800=\frac{45\times 5000+15\times {{{\bar{x}}}_{F}}}{60}\] \[\Rightarrow \] \[4800\times 60-45\times 5000=15\times {{\bar{x}}_{F}}\] \[\therefore \] \[{{\bar{x}}_{F}}=4800\times 4-3\times 5000\] \[=300(16\times 4-50)=300\times 14=4200.\]
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