Question

The average salary of male employees in a firm was Rs. 8000 and that of females was 6400. The mean salary of all the employees was 7600. What is the % of female employees of the male employee?

1. 33.33%
2. 50%
3. 25%
4. 66.66%
5. None of these

Answer 1

Correct Answer - Option 1 : 33.33%

Given:

The average salary of male employees in the firm = Rs. 8000

The average salary of female employees in the firm = Rs. 6400

The mean salary of all the employees of the firm =7600

Calculation:

Let the number of employees = x

Let the number of female employees = y

⇒ Number of male employees is (x - y)

The total salary of employees = 7600x

Accordingly,

7600x = 8000 ×  (x - y) + (6400 × y)

⇒ 7600x = 8000x - 8000y + 6400y

⇒ (8000 - 7600)x = (8000 - 6400)y

⇒ x/y = 1600/400

⇒ x/y = 4/1

That means, there are 1 female employee per 4 employees in the firm

So, there are 1 female employee per 3 male employees in the firm

The percentage of the female employees of the male employee is (1/3) × 100

⇒ 33%

∴ The required percentage = 33%