Question : The average salary of male employees in a firm was Rs. 5200 and that of females was Rs. 4200. The mean salary of all the employees was Rs. 5000. What is the percentage of female employees?
Option 1: 80%
Option 2: 20%
Option 3: 40%
Option 4: 30%
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Correct Answer: 20%
Solution :
Given: The average salary of male employees in a firm = Rs. 5200
The average salary of female employees in a firm = Rs. 4200
The average salary of all employees in a firm = Rs. 5000
By using the rule of alligation,
The ratio of the male employees to the female employees = (Higher value – Mean value) : (Mean value – Lower value)
= 800 : 200 = 4 : 1
So, the required percentage of female employees $=\frac{1}{(1+4)} × 100 = 20$%
Hence, the correct answer is 20%.
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