| The mean yearly salary of an employee of a company was Rs. 20000. The mean yearly salaries of male and female employees were Rs. 20800 and Rs. 16800, respectively. Find the ratio of males to females employed by the company. |
A) 3 : 2
B) 4 : 1
C) 2 : 1
D) 5 : 8
Correct Answer: B
Solution :
| Let the number of males be x and the number of females be y. Sum of the salaries of the men\[=20800x\] |
| Sum of salaries of the females \[=16800y\] |
| \[20000=\frac{20800x+16800y}{x+y}\] |
| \[20000\,\,(x+y)=20800x+16800y\] |
| \[800x=3200y\]\[\Rightarrow \]\[\frac{x}{y}=\frac{4}{1}\]\[\Rightarrow \]\[x:y=4:1\] |
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