Let the number of male employees be x and female employees be y. Now, total age of male employees = average age × number of employees =52x Total age of female employees =42y Now, mean age of all employees =
52x+42y
x+y
According to the question,
52x+42y
x+y
=50 ⇒52x+42y=50x+50y ⇒2x=8y ⇒
x
y
=
4
1
i.e. x:y=4:1 So, 80% of population is male and 20% of population is female.