Using OF Operator in Percentages


 
 
Concept Explanation
 

Using OF Operator in Percentages

 

Using OF operator in Percentages:

We simply replace the OF operator with a multiply sign.

Illustration:

1. ;;;frac{3}{4}; of ;80; pencils =frac{3}{4} times 80 = 60; pencils

2. ;;;40% ;of; 300 =frac{40}{100} times 300 = 120

Illustration: Find  frac{5}{9} of  180.

Solution:  frac{5}{9}times 180

               =5times 20  = 100

 

Illustration: Find the number of cups if frac{4}{7};;of ;;4200;;=;;total ;;number ;;of ;;cups

Solution:   Total number of cups =  frac{4}{7}times 4200

                                                 =4times 600

                                                = 2400

Illustration: Find frac{5}{7};; of ;;98

Solution:  frac{5}{7}times 98

              =5times 14

             = 70

Sample Questions
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Question : 1

If 45% of x is 90, then x% of x______ .

Right Option : B
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Explanation
Question : 2

Marks of A and B are respectively 30% and 37% less than C. How much per cent of marks of B is less than A?

Right Option : B
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Explanation
Question : 3

At a certain election in which there were only two candidayes, 10% of the people on the voting list did not vote and 60 votes cast were decleared  invalid. The successful candidate secured 47% of the total number on voting list and won by a margin of 308 votes. Find the number of voters on the voting list.

Right Option : B
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Explanation
 
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