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
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
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.
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:
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
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
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%
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
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%
Solution: Total Amount = ₹1500
Amount saved = 30% of 1500 = 30×1500100 = 450
Ans: ₹450
Solution: Cost of book = ₹500 & Discount = 15%
Discount in rupees = 15×500100= ₹75
Price After Discount = Cost Price - Discount = 500 - 75
Ans: ₹425
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.
You can try these math percentage questions on your own:
These practice percentage questions support both classroom and home learning.
Here are some easy percentage shortcuts:
Example:
10% of 300 = 30 → 30% = 30 × 3 = 90
These tips help in quickly solving mathematics percentage questions in exams.
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:
Understanding easy percentage questions helps students connect math to real-world events.
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.
Answer: 20 questions
Answer: 14 questions
Answer: (3 ÷ 100) × (5 ÷ 100) = 0.15%
Answer: 40 questions
Answer: 70 × 0.30 = 21
Answer: Discounts, scores, money, sharing, and comparing things.
Explore more exciting math concepts and build a strong foundation in mathematics with Orchids The International School!
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