In an office, 70% of the total number of employees are females. 80% of the total number of employees, including 85 males, got promotion. If there are 105 females, then what percentage of female employees got the promotion?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. (100/3)%
Let the total number of employees in the office = 100x
Number of females = 70x
Number of males = 100x – 70x = 30x
So,
70x = 105
⇒ x = 105/70 = 1.5
⇒ 30x = 1.5 × 30 = 45
So, there are 105 females and 45 males in the office.
Hence, total number of employees = 45 + 105 = 150
Number of employees who got promotion = 80x = 120
So, number of females who got promotion = 120 – 85 = 35
Hence, percentage of female employees who got promotion = (35/105) × 100 = (100/3)%