The average salary of male employees in a firm was Rs. 5000 and that o

1.	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» 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%.

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» 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%.