Of the 288 persons working in a company, 112 are men and the remaining are women. Find the ratio of the number of

(a) men to that of women.

(b) men to the total number of persons.

(c) women to the total number of persons.

Number of men = 112

Total number of persons = 288

Therefore, number of women = Total number of persons - Number of men

number of women = 288 – 112 = 176

(a) ratio of number of men to that of women =

⇒ ratio =

Dividing numerator and denominator by 2 we get

⇒ ratio =

Again dividing the numerator and denominator by 8 we get

⇒ ratio =

Therefore, ratio of number of men to that of women = 7:11

(b) ratio of number of men to total number of persons =

⇒ ratio =

Dividing numerator and denominator by 4 we get

⇒ ratio =

Again dividing the numerator and denominator by 8 we get

⇒ ratio =

Therefore, ratio of number of men to total number of persons = 7:18

(c) ratio of women to the total number of persons =

⇒ ratio =

Dividing numerator and denominator by 4 we get

⇒ ratio =

Again dividing the numerator and denominator by 8 we get

⇒ ratio =

Therefore, ratio of number of women to total number of persons = 11:18