The average age of all the employees in an office is 42 years. 60% of the employees are males and the rest are females. The ratio of the average age of males to that of females is 6 : 5. What is the average age (in years) of male employees?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 45.
Let total employees = 100 where Males = 60 and Females = 40
Let the average age of males = 6x and females = 5x
(60 × 6x) + (40 × 5x) = 100 × 42 = 4200
⇒ 360x + 200x = 4200
⇒ 560x = 4200
⇒ x = 4200/560 = 7.5
Average age of males = 6x = 6 × 7.5 = 45 years