Ratio to Percentage : Solved Examples

Ratio as Fraction

Equivalent Ratios

Proportion

Terms (Proportion)

Ratio to Percentage

In a class, boys and girls are in the ration of 3 : 2. Find the percentage of boys and girls in the class. As per the given question: Boys : Girls = 3 : 2 So, boys and girls are the term of ratio & their respective term value is: Boys = 3 Girls = 2 Steps of Conversion are as follows: Step 1 : Calculate Sum of terms of given ratio and we get: 3 + 2 = 5 Therefore sum of terms of given ratio = 5 Step 2 : Represent Ratio of Boys and Girls in Fractional form Fractional Form for Boys = Boys Term Value / Sum of terms Put value of boys and sum of terms from above and we get: = 3/5 Therefore, Fractional Form for Boys = 3/5 Fractional Form for Girl = Girls Term value / Sum of terms Put value of girls and sum of terms from above and we get: = 2/5 Therefore, Fractional Form for Girls = 2/5 Step 3 : Convert Fractional Form into percentage Percentage of boys = Fractional Form for boys x 100 % Put value of Fractional Form of First Term from above and we get: = (3/5) X 100 Solve the above expression and we get: = 60 Therefore, Percentage for Boys = 60% Percentage for Girls = Fractional Form for Girls x 100 % Put value of Fractional Form of Second Term from above and we get: = (2/5) X 100 Solve the above expression and we get: = 40 Therefore, Percentage for Girls = 40% Hence, in the given class, boys are 60% and girls are 40% Related Question Examples In a class, boys and girls are in the ration of 3 : 2. Find the percentage of boys and girls in the class. Anna divided her salary among her son and daughter in the ration of 3 : 7. Find What percent of Anna salary did her son and daughter received. Length and breadth are in ratio of 2 : 8. Find their respective value in percentage. In a triangle, sides are in ratio of 2 : 3 : 4. Find the equivalent value of sides in percentage.