Percentage
A part per hundred is called percentage. The word per cent means per 100.
The fractional value of percentage is ![]()
Symbol of percentage %
Methods-
- To remove percent of a number multiply by
![]()
- To add percent in a number multiply by 100%
Type of Questions
- Express percentage as a fraction
- Express percentage as a decimal or ratio.
- Express as a percentage (plain no, Ratio)
- Comparison of percentage and number
- Find the percentage
Percentage Calculations
- Finding Percentage:
What is 25% of 200?
If a student scored 45 out of 60 marks, what percentage did they score?
- Calculating the Whole:
If 30% of a number is 150, what is the number?
A product is sold for ₹480 after a 20% discount. What was the original price?
Percentage Increase and Decrease
Calculating Increase:
A shirt originally costs ₹500. If the price increases by 10%, what is the new price? The population of a town increased from 10,000 to 12,000. What is the percentage increase?
Calculating Decrease:
A laptop is priced at ₹60,000 but is now available at ₹54,000. What is the percentage decrease in price? If the price of a book decreases from ₹200 to ₹150, what is the percentage decrease?
Real-life Applications
Discount and Sale:
A store offers a 15% discount on all items. If you buy an item for ₹800, how much discount do you get?
After a 25% increase in salary, a person earns ₹50,000. What was their salary before the increase?
Interest Calculations:
If you deposit ₹1,000 in a bank at an interest rate of 5% per annum, how much interest will you earn in one year?
A loan of ₹10,000 is taken at an interest rate of 12% per annum. What will be the total amount to be paid after one year?
Word Problems
Multi-Step Problems:
A class has 40 students, and 60% are boys. How many boys are in the class?
In a survey, 80% of the participants liked a movie. If 200 people watched the movie, how many liked it?
Comparative Problems:
A student scored 75% in Mathematics and 85% in science. If both subjects have the same maximum marks, who performed better, and by how much percentage?
In a competition, two participants scored 150 and 180 marks, respectively. What is the percentage difference between their scores?
