In a company with 600 employees, the average age of the male employees is 42 years and that of the female employees is 41 years. If the average age of all the employees in the company is 41 years 9 months, then the number of female employees is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 150.
| Understanding/Application |
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Total number of employees in the company = 600 The average age of all employees = 41 years 9 months = 41(3/4) years The average age of males = 42 years The average age of females = 41 years |
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Using mixture and alligation - 41(3/4) - 41 = 3/4 : 42 - 41(3/4) = 1/4 3 : 1 The ratio of male employees to female employees = 3: 1 Number of female employees = (1 × 600)/1 + 3 = 600/4 = 150 |