• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • ICSE Solutions
    • ICSE Solutions for Class 10
    • ICSE Solutions for Class 9
    • ICSE Solutions for Class 8
    • ICSE Solutions for Class 7
    • ICSE Solutions for Class 6
  • Selina Solutions
  • ML Aggarwal Solutions
  • ISC & ICSE Papers
    • ICSE Previous Year Question Papers Class 10
    • ISC Previous Year Question Papers
    • ICSE Specimen Paper 2021-2022 Class 10 Solved
    • ICSE Specimen Papers 2020 for Class 9
    • ISC Specimen Papers 2020 for Class 12
    • ISC Specimen Papers 2020 for Class 11
    • ICSE Time Table 2020 Class 10
    • ISC Time Table 2020 Class 12
  • Maths
    • Merit Batch

A Plus Topper

Improve your Grades

  • CBSE Sample Papers
  • HSSLive
    • HSSLive Plus Two
    • HSSLive Plus One
    • Kerala SSLC
  • Exams
  • NCERT Solutions for Class 10 Maths
  • NIOS
  • Chemistry
  • Physics
  • ICSE Books

How do you Calculate Percentages?

December 11, 2020 by Prasanna

How do you Calculate Percentages?

Percentage

When we take 100 as the denominator of fractions, the numerators are called percentages. For convenience, the symbol % is used for percent. When we take 100 as the denominator of fractions, the numerators are called percentages. For convenience, the symbol % is used for percent.
Or
‘‘A percentage is simply a ratio in which the second term is arranged to be 100’’. Also percent is an abbreviation of the Latin phrase per centum, meaning per hundred or hundredths.
How do you Calculate Percentages 1
How do you Calculate Percentages 2

  1. A fraction may be converted into a percentage by multiplying that fraction by 100%. This does not change its value, since 100% is 1.
  2. A decimal may be converted into a percentage by multiplying it by 100%.

Uses of Percentages

  1. Interpreting percentages.
  2. Converting percentage to ‘How many’.
  3. Converting ratio to percentage.
  4. Increase or decrease as percent.

Eg: Raju invests 10% of his pocket money in buying toffees means ₹10 out of ₹100 are invested by Raju in buying the toffees.

Eg: A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win ?
Here, the total number of matches played are 20. Out of these 25% are won by the team.

I method (direct):
Out of 100, 25 matches are won by the team. So, out of 20, number of matches won by the team
= \(\frac { 25 }{ 100 } \times 20\)
= 5 matches.

II method (using percentage):
How do you Calculate Percentages 3

Percentages Problems with Solutions

1. Express \(\frac { 7 }{ 20 }\) as a percentage.
Solution:
How do you Calculate Percentages 4

2. Express 0.625 as a percentage.
Solution: 0.625 = 0.625 × 100% = 62.5%

3.
How do you Calculate Percentages 5
Solution:
How do you Calculate Percentages 6

4. Out of 50 students in a class, 15 like to play cricket. What is percentage of students who like to play cricket ?
Solution:
Total students = 50
Students who like to play cricket = 15
So, % age of students who like to play cricket
How do you Calculate Percentages 7

5. Convert the given decimals to percent:
(a) 0.6
(b) 0.75
(c) 0.08
(d) 0.56
Solution:
We have
(a) 0.6 = (0.6 × 100)% = 60%
(b) 0.75 = (0.75 × 100)% = 75%
(c) 0.08 = (0.08 × 100)% = 8%
(d) 0.56 = (0.56 × 100)% = 56%

6. Convert a percentage into fraction
(i) 45%
(ii) 65%
(iii) 42.5%
Solution: We have
How do you Calculate Percentages 8

7. Convert each of the following into decimal fraction :
(a) 53%
(b) 0.38%
(c) 4.7%
Solution:
How do you Calculate Percentages 9

8. What percentage of the adjoining figure is shaded and what percentage is unshaded ? Find it.
Solution:
First we find the fraction of the figure that is shaded or unshaded. From this fraction we will find the percentage of the shaded and unshaded regions.
How do you Calculate Percentages 10

9. Convert each of the following ratios into a percentage :Convert each of the following ratios into a percentage :
(i) 15 : 45 (ii) 3 : 5
Solution: We have,
How do you Calculate Percentages 11

10. Estimate what region of the following figures is shaded and hence find percentage of that shaded region.
How do you Calculate Percentages 12
Solution: We have,
How do you Calculate Percentages 13

11. Convert given percents to decimal fractions and also to fractions in simplest form :Convert given percents to decimal fractions and also to fractions in simplest form :
(i) 25% (ii) 150% (iii) 20% (iv) 5%
Solution:
How do you Calculate Percentages 14

12. The population of a city decreased from 25,000 to 24,500. Find the percentage decrease. The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.
Solution:
How do you Calculate Percentages 15

13. The population of India is 113 crore. If it increases by 1.7% every year, Find India’s population after one year.
Solution:
How do you Calculate Percentages 16

Maths

Filed Under: Mathematics Tagged With: Maths, Percentage, Percentages Problems with Solutions, Pre Algebra, Uses of Percentages

Primary Sidebar

  • MCQ Questions
  • RS Aggarwal Solutions
  • RS Aggarwal Solutions Class 10
  • RS Aggarwal Solutions Class 9
  • RS Aggarwal Solutions Class 8
  • RS Aggarwal Solutions Class 7
  • RS Aggarwal Solutions Class 6
  • ICSE Solutions
  • Selina ICSE Solutions
  • Concise Mathematics Class 10 ICSE Solutions
  • Concise Physics Class 10 ICSE Solutions
  • Concise Chemistry Class 10 ICSE Solutions
  • Concise Biology Class 10 ICSE Solutions
  • Concise Mathematics Class 9 ICSE Solutions
  • Concise Physics Class 9 ICSE Solutions
  • Concise Chemistry Class 9 ICSE Solutions
  • Concise Biology Class 9 ICSE Solutions
  • ML Aggarwal Solutions
  • ML Aggarwal Class 10 Solutions
  • ML Aggarwal Class 9 Solutions
  • ML Aggarwal Class 8 Solutions
  • ML Aggarwal Class 7 Solutions
  • ML Aggarwal Class 6 Solutions
  • HSSLive Plus One
  • HSSLive Plus Two
  • Kerala SSLC

Recent Posts

  • Notice Writing Class 10 ICSE Format, Examples, Topics, Exercises, Samples
  • Tum, Yushmad Ke Shabd Roop In Sanskrit – युष्मद् (तुम) शब्द के रूप – भेद, चिह्न उदाहरण (संस्कृत व्याकरण)
  • Advantages and Disadvantages of Media | List of Top 10 Media Advantages and Disadvantages
  • Provisional Certificate | Meaning, How Can We Get Provisional Certificate?
  • Happiness Essay | Essay on Happiness for Students and Children in English
  • Bahuvrihi Samas – बहुव्रीहि समास – परिभाषा, उदाहरण, भेद, सूत्र, अर्थ
  • Speech On Knowledge Is Power | Knowledge is Power Speech for Students and Children in English  
  • Who Inspires You Essay | My Biggest Inspiration Essay, Person Who Inspired Me Essay 
  • Dog Essay | Essay on Dog for Students and Children in English
  • Paragraph On Work Is Worship 100, 150, 200, 250 to 300 Words for Kids, Students And Children
  • 10 Lines on National Flag of India for Students and Children in English

Footer

  • RS Aggarwal Solutions
  • RS Aggarwal Solutions Class 10
  • RS Aggarwal Solutions Class 9
  • RS Aggarwal Solutions Class 8
  • RS Aggarwal Solutions Class 7
  • RS Aggarwal Solutions Class 6
  • Picture Dictionary
  • English Speech
  • ICSE Solutions
  • Selina ICSE Solutions
  • ML Aggarwal Solutions
  • HSSLive Plus One
  • HSSLive Plus Two
  • Kerala SSLC
  • Distance Education
DisclaimerPrivacy Policy
Area Volume Calculator