In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 ∶ 3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?
In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 ∶ 3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees? Correct Answer 80%
Given:
Total number of employees = 400
The percentage of regular employees = 87.5%
The percentage of regular male employees = 92%
Calculation:
The total number of regular employees = (87.5/100) × 400 = 350
The ratio of the number of male employees to that of female employees = 5 ∶ 3
The number of male employees = (5/8) × 400 = 250
The number of female employees = 400 - 250 = 150
The number of regular male employees = (92/100) × 250 = 230
The percentage of regular female employees = × 100
= (120/150) × 100
= 80%
∴ The percentage of regular female employees is 80%