# CLASS-7QUANTITY AS A PERCENTAGE OF ANOTHER

A Quantity as a Percentage of Another

To express a given quantity as a percentage of another quantity of the same kind, divide the given quantity by the other and multiply the result by 100 and add the % sign

A

A  =  ( ----------   X  100 )  % of  B

B

Example.1)

If there are 1600 students in a school and pass out students of a  particular year is 1250, then find out the percentage of pass out of students.

Ans.) As per the given condition, there are 1400 students has passed out of 1600 students,

If, out of 1600 students passed only 1400 students

Then, out of  1 students passed only  =  1400 / 1600

1400

Now, out of 100 students passed only  =  ----------  X 100

1600

1400

=  -----------

16

=   87.5 %

So, now we can conclude that there pass out rate of that school of that particular year is 87.5 %         (Ans.)

Example.2)

If there are 2000 students in a school and pass out students of particular year is 1500, then find out the percentage of students who failed.

Ans.) As per the given condition, there are 1500 students has passed out of 2000 students,

So, number student was failed = 2000 – 1500 = 500

If, out of 2000 students failed only 500 students

Then, out of 1 student failed only  =  500 / 2000

500

Now, out of 100 students passed only  = -----------  X 100

2000

50

=  --------

2

=   25 %

So, now we can conclude that their failure rate of that school of that particular year is 25 %      (Ans.)