CLASS-6
FINDING PERCENTAGE OF GIVEN QUANTITY

FINDING PERCENTAGE OF GIVEN QUANTITY -

Calculating or expressing a part of certain percentage of a whole. Here's how you can do it:-

Part = Percentage * Whole

Where:

  • Part:- The value you want to find the percentage of.
  • Whole:- The total or the reference value.

Let's go through an example:

Suppose you have a class of 30 students, and 60% of them scored an A grade in a test. We want to calculate the number of students who scored an A.

Ans.)

Percentage = 60%

Part (A-grade students) = ??

Whole (Total students) = 30

                        60

So, Part = -------- X 30 = 6 X 3 = 18

               100

So, 18 students in the class scored an A grade.     (Ans.)

If you have a different scenario you'd like to calculate the percentage for, feel free to provide the numbers, and I'll guide you through the calculation!

There are more examples are given below for better understanding -

                                 3

Example.1) Find value of 2 ------% of 550

                                 2

Ans.)  Step.1- First convert mix fraction to improper fraction

            3          (2 X 2) + 3         (4 + 3)         7

      2 ------- = ------------- = ---------- = ------

            2               2                  2            2

                                 7

Step.2 - Now we will find -------% of 550

                                 2

         7            1                   (7 X 1 X 275)       1925

So,  ------- X -------- X 550 = --------------- = --------    

         2           100                      100               100

                                                        1                         

                                 =  19.25   or 19 -------       (Ans.)

                                                        4



Example.2) Find the value of 15% of $75

Ans.)

             15% of $75

                    15

=>         ------- X $75

              100

           15

=>     ------- X $3

            4

               45

=>       $ ------- =  $ 11.25       (Ans.)         

                4



Example.3) Find the value of 25% of $220

Ans.)    25% of $220 

                 25

             -------- X $220

                100

                    1

       =  ------- X $ 220  =  $55         (Ans.)

              4