In company E, the difference between the total number of male managers and female managers is equal to 50\% of the total female managers. Given that the number of male managers is greater than the number of female managers, find the total number of employees in company E.

Note: The percentage of managers out of total employees in company E is 12\%, and the total number of female managers in company E is 24.

Question

In company E, the difference between the total number of male managers and female managers is equal to 50\% of the total female managers. Given that the number of male managers is greater than the number of female managers, find the total number of employees in company E.

Note: The percentage of managers out of total employees in company E is 12\%, and the total number of female managers in company E is 24.

Accepted Answer

**Solution:**

1. Let the total number of employees in company E be $100x$.

2. Given that 12\% of the employees are managers, the total number of managers is:
   $$12\% 	imes 100x = 12x$$

3. The total number of female managers is given as 24.

4. Therefore, the total number of male managers is:
   $$12x - 24$$

5. According to the problem, the difference between male and female managers is 50\% of female managers:
   $$	ext{Male managers} - 	ext{Female managers} = 0.5 	imes 	ext{Female managers}$$
   Substituting values:
   $$12x - 24 - 24 = 0.5 	imes 24$$
   $$12x - 48 = 12$$
   $$12x = 60$$
   $$x = 5$$

6. Hence, total number of employees:
   $$100x = 100 	imes 5 = 500$$

**Answer:** 500

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