Question

Question 56

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 1

Total person working in company = 288
Number of men = 112
$\therefore$ Number of women = Total persons - Number of men = 288 - 112 = 176

(a) Ratio of men to women = $\frac{\text{Number of men}}{\text{Number of women}}$

= $\frac{112}{176}$

= $\frac{7}{11}$ = $7:11$ [on dividing numerator and denominator by 16]

(b) Ratio of men to the total number of persons = $\frac{\text{Number of men}}{\text{Total number of persons}}$

= $\frac{112}{288}$

= $\frac{7}{18}$ = $7:18$ [on dividing numerator and denominator by 16]

(c) Ratio of women to the total number of persons = $\frac{\text{Number of women}}{\text{Total number of persons}}$

= $\frac{176}{288}$

= $\frac{11}{18}$ = $11:18$ [on dividing numerator and denominator by 16]