Question

The average salary of male employees in a firm was Rs. 5000 and that of females was 7400. The mean salary of all the employees was 6600. What is the % of female employees?

1. 45%
2. 33%
3. 66.66%
4. 50%
5. None of these

Answer 1

Correct Answer - Option 3 : 66.66%

Given:

The average salary of male employees in a firm = Rs. 5000

The average salary of female employees in a firm = Rs. 7400

The mean salary of all the employees = 6600

Formula used:

Average = Sum of values/number of values

Percentage = (Part value/Original value) × 100

Calculation:

Let the number of employees = P   

Let the number of female employees = Q    

The total salary of employees = 6600 × P

⇒ 6600 × P = 5000 (P - Q) + 7400 × Q

⇒ 6600 × P = 5000 × P - 5000 × Q + 7400 × Q

⇒ P(6600 - 5000) = Q(- 5000 + 7400)

⇒ P/Q = 2400/1600

The toal employees in a firm = 2400

The female employees in a firm = 1600

Percentage of female employees = 1600/2400 × 100

⇒ 66.66%

∴ The required percentage is 66.66%.