Question 51

In a company with 600 employees, the average age of the male employees is 42 years and that of the female employees is 41 years. If the average age of all the employees in the company is 41 years 9 months, then the number of female employees is:

Solution

Given, total number of employees in the company = 600

Average of all employees = 41 years 9 months = 41 + $$\frac{9}{12}$$ years = $$41\frac{3}{4}$$ years

Using alligation and mixture rule,

The ratio of male employees to female employees = 3 : 1

$$\therefore\ $$Number of female employees = $$\frac{1}{3+1}\times600=\frac{1}{4}\times600=150\ $$

Hence, the correct answer is Option B

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