Of the 120 people in the room,3/5 are women. If 2/3 of the people are married, then what is the maximum number of women in the room who are unmarried?

Options

A. 40
B. 50
C. 60
D. 80

Answer

A

Explanation

Total number of persons = 120
According to the question
Number of women = `120 xx 3/5 = 72`
So, number of men = `(120 - 72) = 48`.
`therefore` Number of married persons = `2/3 xx 120 = 80 `
So, number of unmarried person = `(120 - 80) = 40`.
If all the men are supposed to be married, then the number of married women = `(80 - 40) = 32`.
Therefore, the maximum number of unmarried women
= (Number of women - Number of married women)
`= 72 - 32 = 40`