In an office, 40% of the staff is female. 70% of the female staff and 50% of the male staff are married. The percentage of the unmarried staff in the office is

Question: In an office, 40% of the staff is female. 70% of the female staff and 50% of the male staff are married. The percentage of the unmarried staff in the office is

Solution:
Let, total staff 100

female = 40
male = 100 - 40
= 60

married staff = 40 × 0.7 + 60 × 0.5
= 28 + 30
= 58

∴ unmarried staff = 100 - 58
= 42