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