Algebra Den

Ratio

Definition
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 Requried Ratio are calculated as :-

a) Number of males to number of females = Number of Males : Number of Females = 60 : 40
and its lowest term = 3 : 2
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
and its lowest term = 2 : 1
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
and its lowest term = 3 : 5
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
and its lowest term = 3 : 1
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
and its lowest term = 2 : 5
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
and its lowest term = 1 : 5
Hence, ratio of number of children to total population of town = 1 : 5