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Home >> Ratio and Proportion >>

Ratio

Ratio as Fraction Equivalent Ratios Proportion Terms (Proportion) Ratio to Percentage

When two quantities of same unit are compared by division it is known as Ratio. Ratios are denoted using a symbol ' : '

Example = A town, whose total population is 100, have 60 males, 40 females, and 20 children. Find the ratio of

a) Number of males to number of females
b) Number of females to number of children
c) Number of males to total population of town
d) Number of males to number of children
e) Number of females to total population of town
f) Number of children to total population of town

Answer = In the example given is:

Total Population = 100
Number of Males = 60
Number of Females = 40
Number of Children = 20

The Required Ratio are calculated as :-

a) Number of males to number of females
= Number of Males : Number of Females
= 60 : 40
= 3 : 2 (convert it to lowest term)

Hence ,ratio of number of males to number of females = 3 : 2

b) Number of females to number of children
= Number of Females : Number of Children
= 40 : 20
= 2 : 1 (convert it to lowest term)

Hence, ratio of number of females to number of children = 2 : 1

c) Number of males to total population of town
= Number of Males : Total Population of Town
= 60 : 100
= 3 : 5 (convert it to lowest term)

Hence, ratio of number of males to total population of town = 3 : 5

d) Number of males to number of children
= Number of Males : Number of Children
= 60 : 20
= 3 : 1 (convert it to lowest term)

Hence, ratio of number of males to number of children = 3 : 1

e) Number of females to total population of town
= Number of Females : Total Population of Town
= 40 : 100
= 2 : 5 (convert it to lowest term)

Hence, ratio of number of females to total population of town = 2 : 5

f) Number of children to total population of town
= Number of Children : Total Population of Town
= 20 : 100
= 1 : 5 (convert it to lowest term)

Hence, ratio of number of children to total population of town = 1 : 5

Study More Solved Questions / Examples

Solve the following ratios

A) Divide 50 pens in the ratio of 2 : 3
B) Divide 60 pencils in the ratio of 2 : 4
C) Divide 70 books in the ratio of 3 :4