Difference between ratio and proportion with examples
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Ratio and proportion are two mathematical concepts which have end number of practical applications in different spheres of life. The ratio is used to compare the quantities of two different categories like the ratio of men to women in the city. Here, men and women are the two different categories.
On the contrary, Proportion is used to find out the quantity of one category over the total, like the proportion of men out of total people living in the city.
Ratio defines the quantitative relation between two amounts, representing the number of time one value contains the other. Conversely, Proportion is that part that that explains the comparative relation with the entire part.
Example
There are total 80 students in class, out of which 30 are boys and rest of the students are girls. Now find out the following:
(i) Ratio of boys to girls and girls to boys
(ii) Proportion of boys and girls in the class
Solution: (i) Ratio of boys to girls = Boys:Girls = 30:50 or 3 : 5
Ratio of girls to boys = Girls: Boys = 50 : 30 or 5 : 3
Thus, For every three boys there are five girls or for every five girls, there are three boys.
(ii) Proportion of boys = 30/80 or 3/8
Proportion of girls = 50/80 or 5/8
Thus, 3 in every 8 students is a boy and 5 in every 8 students is a girl.
Hope it help
Ratio and proportion are two mathematical concepts which have end number of practical applications in different spheres of life. The ratio is used to compare the quantities of two different categories like the ratio of men to women in the city. Here, men and women are the two different categories.
On the contrary, Proportion is used to find out the quantity of one category over the total, like the proportion of men out of total people living in the city.
Ratio defines the quantitative relation between two amounts, representing the number of time one value contains the other. Conversely, Proportion is that part that that explains the comparative relation with the entire part.
Example
There are total 80 students in class, out of which 30 are boys and rest of the students are girls. Now find out the following:
(i) Ratio of boys to girls and girls to boys
(ii) Proportion of boys and girls in the class
Solution: (i) Ratio of boys to girls = Boys:Girls = 30:50 or 3 : 5
Ratio of girls to boys = Girls: Boys = 50 : 30 or 5 : 3
Thus, For every three boys there are five girls or for every five girls, there are three boys.
(ii) Proportion of boys = 30/80 or 3/8
Proportion of girls = 50/80 or 5/8
Thus, 3 in every 8 students is a boy and 5 in every 8 students is a girl.
Hope it help
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