Percentage Questions

Introduction

Gaining mathematical proficiency in solving percentage questions is important as it builds a solid foundation for calculating discounts, comparing quantities, interpreting scores, and so on. We often use the concept of percentages in our daily lives, such as in figuring out how much you saved at a sale, determining your exam score, or resolving daily issues. 
Solving percentage questions not only develops your mathematical abilities but also increases your confidence in dealing with real-world problems. By practicing percentage questions, you can easily enhance your life skills, such as problem-solving and decision-making.

Whether you're preparing for exams,  or just looking to strengthen your math foundation, percentage questions are necessary. This guide covers percentage concepts, formulas, and math percentage questions with solutions so you can assuredly solve real-life and exam problems.

 

Table of Contents

• What is a Percentage?
• Formulas for Solving Percentage Questions
• Basic Percentage Questions with Answers
• Practice Problems
• Tricks to Solve Percentage Problems Quickly
• Real-Life Uses of Percentages
• Conclusion
• Frequently Asked Questions on Percentage Questions

 

What Is a Percentage?

Percentages help us understand how much of something is used, saved, or remaining. They are the basis of many math topics and daily tasks. A percentage is defined as a number or ratio that represents a part of 100.  “%” is the symbol used to show a percentage. For Example, 50% means 50 out of 100, or 10% of 200={10100}×200 = 20

Formulas for Solving Percentage Questions

Here are simple formulas to help you solve different types of mathematics percentage questions:

1. Formula to Find Percentage

Percentage={partwhole}×100

Example:
If you got 45 marks out of 60,

Percentage={4560}×100 = 75

 

2. Formula to Find a Part 

Part=(Percent×Whole)100 

3. Formula to Find a Whole

Whole=(Part×100)Percentage

 

4. Formula for Percentage Increase

PercentageIncrease=(NewValue−OldValue)OldValue×100

 

5. Formula for Percentage Decrease

PercentageDecrease=(OldValue−NewValue)OldValue×100

These formulas are essential for solving percentage questions.

 

Basic Percentage Questions with Answers

Solving percentage problems helps you to understand the more practical and relatable applications of percentage. You can try solving these easy percentage questions using the formulas given above:

Q1: A school has 500 students. 40% are girls. How many girls are there?

Solution:

We know that, when the percent and the total are given, we can calculate the part using the formula: Part=(Percent×Whole)100

Total number of students = 500

Percentage of girls = 40%

Total number of girls = (40×500)100 = 200

Answer: 200

 

Q2: A water tank holds 800 liters. If it’s 60% full, how much water is in it?

Solution: We know that, when the percent and the total are given, we can calculate part using the formula: Part=(Percent×Whole)100

Total capacity of the water tank = 800 lt

Percent of tank filled = 60%

Total amount of water in the tank = (60×800)100

Answer: 480 liters

 

Q3: A student scored 72 out of 80. What is the percentage score?

Solution: When the part and the whole are given we can calculate percentage by using percentage formula: Percentage={partwhole}×100

Marks scored by the student = 72

Total marks = 80

Percentage={7280}×100 = 90

Answer: 90%

 

Q4. A shirt worth ₹600 is on 20% discount. What is the new price?

Solution: Cost of shirt =  ₹600 and Discount % = 20

Discount Amount = Discount×Marked Price100= 20×600100 = 120

New Price = Selling Price - Discounted Price = 600 - 120 = 480

Answer: ₹480

Q5: If a pizza is 75% eaten, what percent is left?

Solution: Percent of pizza eaten = 75%

We know that to find the remaining percent we have to subtract the eaten% from the total, i.e., 100%

Therefore, the pizza left = 100 - 75 = 25%

Answer: 25%

 

Q6. A person saves 30% of ₹1500. How much does he save?

Solution: Total Amount = ₹1500

Amount saved = 30% of 1500 = 30×1500100 = 450

Ans: ₹450

 

Q7. A book is marked ₹500. A shopkeeper gives a 15% discount. Final price?

Solution: Cost of book = ₹500  & Discount = 15% 

Discount in rupees = 15×500100= ₹75

Price After Discount = Cost Price - Discount = 500 - 75

Ans: ₹425

 

Q8. In a class of 60, 35% are absent. How many are present?

Solution: Total number of students in class = 60

Percent of students absent = 35%

Number of students absent=(35×60)100= 21

Number of students present = 60 - 21 = 39

Ans: 39

These percentage questions and answers help reinforce concepts through direct calculation.

 

Practice Problems

You can try these math percentage questions on your own:

1. What is 75% of 80?
2. 20% of 150 = ?
3. 90 is what percent of 300?
4. A boy scores 45 out of 50. What is his percentage?
5. A bag has 100 balls. 30% are red. How many red balls are there?
6. What is 15% of 400?
7. A book costs ₹500. It is now sold at 10% discount. What is the selling price?
8. 35% of a class of 60 students are boys. How many boys are there?
9. Find 40% of ₹900
10. 10% of 160 = ?
11. What is 10% of 200? 
12. Find 25% of 80. 
13. Riya scored 90 out of 100 marks. What is her percentage? 
14. What is 50% of 60? 
15. Aman got 45 out of 60. What is his percentage? 
16. What is 5% of 400? 
17. What is 100% of 150? 
18. What is 30% of 90? 

These practice percentage questions support both classroom and home learning.

 

Tricks to Solve Percentage Problems Quickly

Here are some easy percentage shortcuts:

• 50% = Half
• 25% = One-fourth
• 10% → Move the decimal one place left
• 5% = Half of 10%
• 20% = 10% × 2
  
  

Example:
10% of 300 = 30 → 30% = 30 × 3 = 90

These tips help in quickly solving mathematics percentage questions in exams.

 

Real-Life Uses of Percentages

Percentages are part of everyday life. Understanding how to calculate percentage is a necessary skill used in real life problem solving. Here are some applications of percentages in real-life:

• Shopping: To calculate discounts and offers during shopping.
• Academics: Report cards and scores comparison.
• Food: For sharing food or distributing items.
• Savings: To split savings and allowances.
• Sports: Performance and win rate

Understanding easy percentage questions helps students connect math to real-world events.

 

Conclusion

Whether you're just starting or looking to get better at mathematics percentage questions, keep learning and practicing. When you practice percentage questions and learn how to apply percentage formulas correctly, you start seeing patterns and methods that make solving these problems easier and faster. Practicing regularly not only improves your speed and accuracy but it also builds your problem solving skills. You can prepare effortlessly for competitive tests or school assignments without stress. Along with percentages you can also learn to convert fraction to percent and more such math concepts by visiting https://www.orchidsinternationalschool.com/maths-concepts.  

 

Frequently Asked Questions on Percentage

Q1. What is 80% of 25 questions?

Answer: 20 questions

 

Q2. What is 70% of 20?

Answer: 14 questions

 

Q3. What percentage is 3% of 5%?

Answer: (3 ÷ 100) × (5 ÷ 100) = 0.15%

 

Q4. What is 80% of 50?

Answer: 40 questions

 

Q5. How to find 30% of 70?

Answer: 70 × 0.30 = 21

 

Q6. How are percentages used in real life?

Answer: Discounts, scores, money, sharing, and comparing things.

 

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