question_answer

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

Answer:

Given, total number of persons working in a company = 288

and number of men working in a company =112

\[\therefore\] Remaining persons, which are women in a company

= total persons working in a company ? Men working in a company

\[=288-112=176\]

(a) Ratio of the number of men to that of women

\[=112:176\]

\[=7:11\] [both ratios divided by 16]

Hence, the ratio of the number of men of that to women is\[7:11\].

(b) Ratio of the number of men to the total number of persons

\[=112:288=7:18\]

[both ratios divided by 16]

Hence, the ratio of the number of men to the total number of persons is \[7:18\].

(c) Ratio of the number of women to the total number of persons

\[=176:288=11:18\]

[both ratios divided by 16]

Hence, the ratio of the number of women to the total number of persons is \[11:18\].