Concept of Percentage: Percent is a combination of two words. Per and Cent, Per means out of and Cent means 100. Thus percent means out of every hundred. The symbols used for percent is %.
9% means 9/100.
100% means 100/100
Lets us take some examples to calculate the percentage of marks.
Example 1:
In a class test if you got 7.3 marks out of 10. Find the percentage of marks you got?
Solution: Total Mark = 10. Mark obtained = 7.3.
Required Percentage = Marks obtained/Total Marks ร 100%
= 7.3/10 ร 100%
= 73/100 ร 100%
= 73%
Example 2:
If you got 75 marks out of 80 in a mathematics test. Find the percentage of marks you got?
Solution: Total marks = 80. Marks obtained = 75.
Required percentage = Marks obtained/Total marks ร 100%.
= 75/80 x 100 %
= 75/4 x 5 %
= 375/4 %
= 93.75 %
Note:
Example 3:
If a student got 99 marks out of 150 in science exam. Find the required percentage?
Solution: Total marks = 150. Marks Obtained = 99.
Required percentage = 99/150 ร 100%
= 99/15 x 10%
= 990/15%
= 66%
Note:
Example 4:
In the final examination, Ram scored marks in each subject are given below:
Subject | Marks obtained | Total Marks |
English | 75 | 100 |
Math | 95 | 100 |
Science | 93 | 100 |
Hindi | 79 | 100 |
S.St | 90 | 100 |
Computer | 91 | 100 |
Find the total percentage.
Solution: Total marks = 600. Total marks obtained = 523.
Required Percentage = 523/600 ร 100%
= 523/6%
= 87.16%
Note:
At last, we conclude that the percentage is a very very important and basic topic. It is used in everyday life like discounts in shops, bank interest rates, etc.