NPAT Percentage Questions 2027: Solved Examples, Shortcuts & Practice Questions

NPAT percentage questions are an important part of the Quantitative and Numerical Ability section. Although percentage is a basic arithmetic concept, questions based on it can become tricky when they are combined with ratios, profit and loss, discounts, data interpretation, or successive changes.

For NPAT aspirants, the goal is not just to remember the percentage formula. You should be able to recognise the type of question quickly, choose the shortest method, and arrive at the answer without spending too much time.

Download Free Study Materials for NPAT 2027

In this guide, you will find important percentage formulas, percentage questions for NPAT, solved examples, shortcut techniques, practice questions, and preparation tips. You can also use the questions below to create your own NPAT percentage questions PDF for revision.

NPAT Percentage Questions 2027: Overview

Percentage is included in the arithmetic portion of the NPAT Quantitative syllabus. It is also connected to several other topics, including profit and loss, discount, ratio and proportion, averages, interest, and data interpretation.

Recent NPAT question-paper analysis has also reported percentage questions in the Quantitative section. This makes percentage a useful topic to prepare alongside other arithmetic chapters.

The good news is that most percentage problems are based on a few fundamental ideas. Once these ideas become familiar, you can solve many questions using mental calculations rather than lengthy formulas.

Common types of NPAT percentage questions include:

• Finding a percentage of a number
• Finding the original number from a percentage
• Percentage increase or decrease
• Successive percentage changes
• Comparing two quantities using percentages
• Percentage-based ratio questions
• Profit, loss and discount questions
• Population and salary-based problems
• Marks and examination questions
• Percentage questions based on tables and charts

Download Free NPAT Percentage Questions PDF

Basic Percentage Formula for NPAT 2027

The fundamental percentage formula is:

Percentage = (Part / Whole) × 100

For example, if a student scores 72 marks out of 90:

Percentage = (72/90) × 100
= 80%

This basic formula forms the foundation of most percentage questions for NPAT.

Finding the percentage of a number

To find x% of a number:

x% of N = (x/100) × N

For example:

25% of 240
= (25/100) × 240
= 60

You can also use fraction equivalents to save time.

Percentage	Fraction
10%	1/10
20%	1/5
25%	1/4
50%	1/2
75%	3/4
12.5%	1/8
33.33%	1/3

Knowing these conversions can make calculations much faster during NPAT.

NPAT Percentage Questions with Solved Examples 2027

The following examples cover the common patterns you should practise before moving to mixed questions.

NPAT Question Based on Basic Percentage

Q: A student scores 72 marks out of 120. What percentage of marks did the student obtain?

Solution

Percentage = (72/120) × 100

= 0.6 × 100

= 60%

Answer: 60%

This is a straightforward question, but solving such questions quickly can save valuable time in the actual examination.

NPAT Question Based on Finding a Number from Its Percentage

Q: 30% of a number is 75. Find the number.

Solution

Let the number be x.

30% of x = 75

(30/100) × x = 75

x = 75 × 100 / 30

x = 250

Answer: 250

Shortcut

If 30% = 75, then:

10% = 25

Therefore,

100% = 250.

This method is often faster for mental calculation.

NPAT Question Based on Percentage Increase

Q: The price of a book increases from ₹400 to ₹460. Find the percentage increase.

Solution

Increase = 460 − 400 = ₹60

Percentage increase:

= (Increase / Original value) × 100

= (60/400) × 100

= 15%

Answer: 15%

Remember that percentage increase is always calculated using the original value as the denominator.

NPAT Question Based on Percentage Decrease

Q: The population of a town decreases from 80,000 to 72,000. Find the percentage decrease.

Solution

Decrease = 80,000 − 72,000

= 8,000

Percentage decrease:

= (8,000 / 80,000) × 100

= 10%

Answer: 10%

NPAT Question Based on Successive Percentage Change

Q: The price of an item is increased by 20% and then decreased by 10%. What is the overall percentage change?

Solution

For successive percentage changes:

Net change = a + b + (ab/100)

Here:

a = +20
b = −10

Net change:

= 20 − 10 + (20 × −10)/100

= 10 − 2

= 8%

Therefore, the overall price has increased by 8%.

Prepare with Online Lectures for NPAT 2027

NPAT Percentage and Ratio Questions 2027

The ratio of boys to girls in a class is 3:2. What percentage of the class consists of girls?

Solution

Total parts:

3 + 2 = 5

Girls = 2 parts.

Percentage of girls:

= (2/5) × 100

= 40%

Answer: 40%

Questions combining ratio and percentage are worth practising because they can often be solved in a few steps.

NPAT Marks-Based Percentage Question 2027

Q: A student needs 40% marks to pass an examination. If the student scores 180 marks and falls short by 20 marks, find the maximum marks of the examination.

Solution

Required passing marks:

180 + 20 = 200

Therefore, 40% of maximum marks = 200.

Let maximum marks = x.

40% of x = 200

x = 200 × 100 / 40

x = 500

Answer: 500 marks

NPAT percentage questions: Percentage Profit

A shopkeeper purchases an article for ₹800 and sells it for ₹920. Find the percentage profit.

Solution

Profit:

₹920 − ₹800 = ₹120

Profit percentage:

= (120/800) × 100

= 15%

Answer: 15%

Profit and loss questions frequently use percentage concepts, so mastering percentages also makes related arithmetic topics easier.

How to Score 85 in NMIMS NPAT

Vocabulary Prep for IPMAT & NPAT

Quick Tricks for NPAT Percentage Questions 2027

Speed matters in NPAT. Instead of calculating every percentage from scratch, learn a few common conversions.

Trick 1: Convert percentages into fractions

For example:

• 50% = 1/2
• 25% = 1/4
• 20% = 1/5
• 10% = 1/10
• 5% = 1/20
• 12.5% = 1/8

So, instead of calculating 12.5% of 320 using a calculator-style method:

12.5% of 320 = 320/8 = 40

Trick 2: Use 10% as a base

Suppose you need to calculate 35% of 240.

10% of 240 = 24

Therefore:

30% = 72
5% = 12

So:

35% = 72 + 12 = 84

Trick 3: Remember the percentage comparison formula

If A is what percentage of B:

Percentage = (A/B) × 100

For example, 45 is what percentage of 60?

= (45/60) × 100

= 75%

Trick 4: Be careful about the base value

If the price rises from ₹500 to ₹600, the increase is ₹100.

Percentage increase:

100/500 × 100 = 20%

But if the price falls from ₹600 to ₹500:

Percentage decrease:

100/600 × 100 = 16.67%

The numerical difference is the same, but the percentage is different because the original value changes.

Practice Percentage Questions for NPAT

Try solving the following questions without looking at the answers.

Q1. What is 35% of 480?

A. 148
B. 158
C. 168
D. 178

Q2. 25% of a number is 90. What is the number?

A. 270
B. 300
C. 360
D. 400

Q3. The price of an article increases from ₹500 to ₹575. What is the percentage increase?

A. 10%
B. 12%
C. 15%
D. 20%

Q4. A number is decreased by 20% and becomes 240. What was the original number?

A. 280
B. 300
C. 320
D. 340

Q5. In a class of 250 students, 60% are boys. How many girls are there?

A. 80
B. 90
C. 100
D. 120

Q6. A candidate scores 360 marks out of 450. What is the percentage score?

A. 70%
B. 75%
C. 80%
D. 85%

Q7. An article is first increased by 10% and then increased by another 20%. What is the overall percentage increase?

A. 28%
B. 30%
C. 32%
D. 35%

Q8. A shopkeeper sells an article for ₹1,080 after making a profit of 20%. Find the cost price.

A. ₹850
B. ₹900
C. ₹920
D. ₹950

Answers

Question	Answer
1	C. 168
2	C. 360
3	C. 15%
4	B. 300
5	C. 100
6	C. 80%
7	C. 32%
8	B. ₹900

Click to Attempt Free Mock Test for NPAT Prep

How to Prepare for Percentage Questions for NPAT 2027?

Reading formulas once is not enough. Percentage is a calculation-based topic, so regular practice is essential.

1. Learn the basic concepts first

Make sure you understand:

• Percentage conversion
• Increase and decrease
• Percentage comparison
• Successive changes
• Percentage and ratio
• Percentage-based profit and loss

Do not start with difficult mixed questions if these basics are unclear.

2. Practise timed sets

NPAT is a speed-oriented examination. Recent NPAT information indicates a 100-minute test with 120 questions, so spending several minutes on one percentage problem can affect your overall attempt.

Start with a 10-question percentage set and gradually reduce the time you need to complete it.

3. Maintain a formula sheet

Write down important formulas and percentage-fraction conversions on one page.

Revise it regularly instead of repeatedly searching for individual formulas.

4. Solve previous-year questions

After completing the basic concepts, move to previous-year NPAT papers and sample papers.

This helps you understand how percentage concepts are combined with other topics and gives you experience with the actual exam style.

5. Analyse your mistakes

Don't just count how many questions you got right.

For every incorrect question, identify the reason:

• Did you use the wrong formula?
• Did you calculate the percentage using the wrong base?
• Did you make a calculation error?
• Did you spend too much time?
• Did you misunderstand the question?

This analysis can improve your accuracy much faster than simply solving more questions.

How to Prepare for NPAT in 10 Days

NPAT 6-Month Preparation Strategy

NMIMS NPAT Last Minute Tips

Common Mistakes to Avoid in NPAT Percentage Questions 2027

Using the wrong base

Always identify the original or reference value before calculating a percentage increase or decrease.

Confusing percentage points with percentage change

A rise from 40% to 50% is an increase of 10 percentage points, but the relative percentage increase is:

(10/40) × 100 = 25%

Ignoring successive changes

A 20% increase followed by a 20% decrease does not bring a value back to its original amount.

The net effect is:

20 − 20 − 4 = −4%

So the final value is 4% lower.

Spending too long on one calculation

If a percentage question becomes unnecessarily lengthy, move on and return to it later. NPAT rewards efficient question selection as much as conceptual knowledge.

Conclusion

Percentage is one of those topics where accuracy and speed improve together with practice. Start by mastering the basic formula, then learn quick fraction conversions and move towards questions involving ratios, profit and loss, and successive changes.

Most importantly, don't prepare percentages in isolation. Connect it with the broader Quantitative syllabus and practise questions under time pressure.

For your preparation, keep three resources handy: a concise formula sheet, a collection of percentage questions for NPAT, and full-length NPAT mock or previous-year papers.

With consistent practice, percentage can become one of the quicker scoring areas in your Quantitative preparation.

NPAT Preparation Tips

NPAT Study Plan & Preparation Tips

NPAT 1-Month Preparation Strategy