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