In a school, 45% of the staff is female. 80% of the female staff and 60% of the male staff are postgraduates. Find the percentage of the non-postgraduate staff in the school.

Correct option is A

Given:

Female staff in school =45%

80% of female staff and 60% of male staff is post-graduates

Formula Used:

Percentage =$$\frac{Part\ Value}{Total\ Value} \times 100$$​

Solution:

Let the total strength of school staff is 100

Then female staff is 45% of 100 =45

Male staff = 100 -45 = 55

Post-graduates in female staff = 80% of 45 = 36

Non post-graduates in female staff = 45-36 = 9

Post-graduates in male staff = 60% of 55 = 33

Non post-graduates in male staff =55-33 = 22

Total non post-graduates = 9+22 = 31

Percentage of non post-graduates = $$\frac{31}{100} \times 100 = 31\%$$​​