Percentage – Complete Guide with Formulas, Tricks, MCQs and Solutions for CUET UG GAT 2026
Introduction to Percentage
Percentage – Complete Guide for CUET UG GAT 2026: Percentage is one of the most important topics in mathematics and competitive exams. It is widely used in daily life for calculating marks, discounts, profit and loss, population growth, and exam scores.
In the Percentage – Complete Guide for CUET UG GAT 2026, percentage-based questions frequently appear in the Quantitative Aptitude section. Therefore, understanding the concept of percentage and practicing different types of questions can help students score higher marks quickly and accurately.
Percentage questions are considered easy scoring and time-saving, making them essential for every CUET aspirant.
What is Percentage?
A percentage is a mathematical concept used to express a number as a fraction of 100.
The word percent means “per hundred.”
For example:
50% means
50 out of 100
or
50 / 100
Basic Percentage Formula
Percentage Formula
Percentage =
(Part / Total) × 100
Example
If a student scores 45 marks out of 60, the percentage is:
Percentage =
(45 / 60) × 100
= 75%
Important Percentage Formulas
- Percentage = (Part / Whole) × 100
- Increase Percentage = (Increase / Original Value) × 100
- Decrease Percentage = (Decrease / Original Value) × 100
- Profit Percentage = (Profit / Cost Price) × 100
- Loss Percentage = (Loss / Cost Price) × 100
- Discount Percentage = (Discount / Marked Price) × 100
These formulas are frequently used in CUET UG GAT mathematics questions.
Short Tricks to Solve Percentage Questions
Trick 1: Convert Percentage to Fraction
This is the fastest method to solve many questions.
50% = 1/2
25% = 1/4
20% = 1/5
10% = 1/10
75% = 3/4
Using fractions reduces calculation time significantly.
Trick 2: The 10% Method
To find 10% of a number, simply divide the number by 10.
Example:
10% of 480
= 48
Now you can easily find:
20% = 96
30% = 144
This trick is very useful in exams.
Trick 3: Successive Percentage Formula
When two percentage changes occur one after another, use:
Net Change =
a + b + (ab / 100)
Example:
Increase 10% and then 20%
= 10 + 20 + (10 × 20 / 100)
= 32%
Common Patterns to Solve Percentage Questions
Understanding patterns helps solve questions faster in exams.
Most Common Percentage Question Types
- Increase and decrease problems
- Profit and loss questions
- Discount and selling price problems
- Marks and exam score questions
- Population growth problems
- Ratio and percentage conversion
- Data interpretation percentage questions
These patterns are repeatedly asked in CUET UG GAT exams.
Original MCQs with Answers and Solutions
Q 4329) 47.5% of ? = 475
(A) 700 (B) 800 (C) 900 (D) 1000
Answer: (D) 1000
Step-by-Step Explanation
Solution:
47.5% of ? = 475
Or, 47.5 / 100 x ? = 475
Therefore, ? = 475 x 100 / 47.5 = 1000
Q) 20% of 1620 + 30% of 960 = ? % of 5100
(A) 10% (B) 12% (C) 15% (D) 18%
Answer: (B) 12%
Solution:
20% of 1620 + 30% of 960 = ? % of 5100
Or, 20/100 x 1620 + 30/100 x 960 = ? /100 x 5100
Therefore, 324 + 288 = ? x 51
? = 324 + 288 / 51
? = 612 / 51
? = 12%
Why Percentage MCQs are Important for CUET UG GAT 2026
Percentage questions are very important for CUET preparation because:
- Frequently asked in exams
- Easy to understand and solve
- Helps improve calculation speed
- Used in many other mathematics topics
- High scoring topic
- Builds strong mathematical foundation
Students who master percentage concepts can solve many quantitative aptitude questions quickly.
Practice Tips for Percentage Questions
- Memorize basic percentage fractions
- Learn important formulas
- Practice daily calculations
- Use shortcut tricks
- Solve previous year questions
Consistent practice improves speed and accuracy.
FAQs – Percentage for CUET UG GAT
What is the basic formula of percentage?
Percentage =
(Part / Whole) × 100
How can I calculate percentage quickly?
You can calculate percentage quickly by:
Using fraction conversion
Using the 10% method
Using shortcut formulas
Is percentage an important topic for CUET UG GAT?
Yes.
Percentage is one of the most important and frequently asked topics in CUET exams.
How many percentage questions come in CUET exams?
Usually:
1 to 3 questions
may appear in the exam.
Is percentage difficult to learn?
No.
Percentage is a basic mathematics topic and becomes easy with practice.
Conclusion
Percentage is a fundamental mathematics topic that plays a major role in competitive exams like CUET UG GAT 2026. Understanding formulas, learning shortcut tricks, and practicing different types of questions can help students solve problems quickly and accurately.
By mastering percentage concepts, students can improve their calculation speed, boost confidence, and achieve higher scores in the examination.
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About the Author
Vimal Kumar Tulsyan is the Founder of CUET NOW, an educational platform focused on CUET UG preparation. He has more than 10 years of teaching experience in Reasoning and General Aptitude.
His mission is to make CUET preparation simple, reliable, and accessible for every student.
