The average salary of all the employees of a company is Rs 5000. The average salary of the male employees is Rs 5200 and that of the female employees is Rs 4200. What percentage of the employees are male?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 80
By the rule of alligation, two groups mixed to give an overall average are in the ratio (higher − mean) of the other group : (mean − lower), that is, each group’s share is the distance of the other group’s average from the mean.
Male average \(=5200\), female average \(=4200\), overall average \(=5000\)
Male share \(\propto 5000-4200=800\)
Female share \(\propto 5200-5000=200\)
Male : Female \(=800:200=4:1\)
Male % \(\displaystyle =\frac{4}{5}\times100=80\%\)
80% of the employees are male.