30+ NMAT Percentage Questions with Answers PDF Download

Overview: Prepare for NMAT 2025 with expert NMAT percentage questions practice, detailed solutions, common errors to avoid, and must-know FAQs to enhance your Quant section score.

• Percentage questions are a crucial part of the NMAT exam's quantitative aptitude section.
• Mastering these questions not only improves your score but also strengthens your problem-solving skills for business and management scenarios.

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Important Events of NMAT 2025 Entrance Exam:

• NMAT 2025 Registration Start Date: August 1, 2025
• NMAT Exam Registration End Date: October 10, 2025
• NMAT 2025 Exam Window: November 5, 2025, to December 19, 2025

This blog offers a comprehensive guide on NMAT percentage questions, including their importance, weightage, top practice questions, common pitfalls, and FAQs.

What Are NMAT Percentage Questions?

NMAT percentage questions are math problems that involve calculating proportions, increases, decreases, profit and loss, and changes expressed as percentages.

These questions test your ability to interpret and manipulate percentages in varied contexts such as growth rates, discounts, mixtures, and comparative data.

They are fundamental for the Quantitative Skills section of NMAT.

Weightage of NMAT Percentage Questions

Typically, percentage questions form around 8-10% of the Quantitative section in NMAT. Since Quantitative Skills has roughly 36 questions, candidates can expect 3 to 4 percentage-based questions per exam cycle. Due to their moderate difficulty level and precise concepts, they can score if practised well.

This weightage can significantly influence your overall NMAT score, given the sectional time constraints and competition level. Understanding and practising percentage questions will enhance your accuracy and speed.

For more on NMAT exam structure, check the NMAT Exam Pattern and NMAT Syllabus.

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30 High-Level NMAT Percentage Questions to Practice

Below are 30 long-form, high-level NMAT percentage questions with four options each. Correct answers are provided for effective practice.

1. A shopkeeper marks the price of an article 20% above the cost price and allows a discount of 10%. What is the percentage profit or loss?
   
   a) 8% profit
   b) 10% profit
   c) 12% loss
   d) 8% loss
   Answer: a) 8% profit
    
2. The population of a town increases by 15% annually. What will be the population after 2 years if the current population is 40,000?
   
   a) 49,000
   b) 52,900
   c) 50,000
   d) 53,000
   Answer: b) 52,900
    
3. A sum of money earns simple interest of Rs. 1500 in 3 years at 8% p.a. What is the principal amount?
   
   a) Rs. 5000
   b) Rs. 6000
   c) Rs. 6250
   d) Rs. 5200
   Answer: b) Rs. 6000
    
4. The price of a commodity rises from Rs. 250 to Rs. 275. What is the percentage increase?
   
   a) 15%
   b) 10%
   c) 12%
   d) 8%
   Answer: b) 10%
    
5. A student scored 45% marks and failed by 27 marks. If he scored 72 marks, he would have passed by 18 marks. What is the maximum marks?
   
   a) 180
   b) 200
   c) 240
   d) 150
   Answer: c) 240
    
6. The salary of an employee increases by 10% every year. Find the percentage increase in salary after 2 years.
   
   a) 20%
   b) 21%
   c) 19.5%
   d) 22%
   Answer: b) 21%
    
7. A shopkeeper reduces the price of an article by 20%, and sells it for Rs. 640. What was the original price?
   
   a) Rs. 720
   b) Rs. 780
   c) Rs. 800
   d) Rs. 750
   Answer: c) Rs. 800

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8, A number is decreased by 15% and then increased by 15%. What is the net change in the number?

a) 0%
b) 0.25% decrease
c) 2.25% decrease
d) 2.25% increase
Answer: c) 2.25% decrease
 

9. The population of a city decreases by 5% annually. Find the population after 3 years if the current population is 1,00,000.

a) 85500
b) 85737
c) 90000
d) 85000
Answer: b) 85737

10. A trader sells an article at 25% profit. Had he sold it for Rs. 200 more, his profit would have been 40%. Find the cost price.

a) Rs. 800
b) Rs. 1000
c) Rs. 900
d) Rs. 700
Answer: a) Rs. 800

11. In an election, 42% of the total voters did not vote. If 9480 votes were cast, find the total number of voters.

a) 15,000
b) 16,200
c) 17,000
d) 19,000
Answer: b) 16,200

12. The price of sugar rises from Rs. 12 to Rs. 15 per kg. What is the percentage increase in price?

a) 25%
b) 20%
c) 22.5%
d) 18%
Answer: a) 25%

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13. If an article is sold for Rs. 720, resulting in 20% loss, find the cost price.

a) Rs. 900
b) Rs. 850
c) Rs. 800
d) Rs. 950
Answer: a) Rs. 900

14. A salary is increased from Rs. 8000 to Rs. 9600. What is the percentage increase?

a) 15%
b) 18%
c) 20%
d) 22%
Answer: c) 20%

15. The cost price of 20 articles is equal to the selling price of 16 articles. Find the profit or loss percentage.

a) 20% loss
b) 20% profit
c) 25% loss
d) 25% profit
Answer: b) 25% profit

16. A sum of Rs. 4000 is divided among A, B, and C in the ratio 3:4:5. What is B’s share?

a) Rs. 1200
b) Rs. 1600
c) Rs. 1000
d) Rs. 1400
Answer: b) Rs. 1600

17. A quantity of milk is mixed with water in the ratio of 7:3. What percentage of the mixture is water?

a) 25%
b) 30%
c) 35%
d) 40%
Answer: a) 25%

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18. A discount of 15% on an article results in a selling price of Rs. 255. What was the marked price?

a) Rs. 300
b) Rs. 320
c) Rs. 350
d) Rs. 280
Answer: a) Rs. 300

19. A price is increased by 30% and then decreased by 30%. Find the net percentage change.

a) 9% increase
b) 9% decrease
c) No change
d) 10% decrease
Answer: b) 9% decrease

20. The price of an item is marked at Rs. 400. If a customer gets two successive discounts of 10% each, find the final price.

a) Rs. 320
b) Rs. 324
c) Rs. 340
d) Rs. 360
Answer: b) Rs. 324

21. A sum doubles itself in 10 years at simple interest. What is the rate of interest?

a) 5%
b) 8%
c) 10%
d) 12%
Answer: c) 10%

22. The price of petrol increases by 12%. If Ramesh spends Rs. 2800 after the increase to buy the same quantity, what was the original expense?

a) Rs. 2500
b) Rs. 2550
c) Rs. 2600
d) Rs. 2700
Answer: a) Rs. 2500

23. A man loses 18% by selling an article. Find the selling price if the cost price is Rs. 2000.

a) Rs. 1600
b) Rs. 1640
c) Rs. 1700
d) Rs. 1650
Answer: b) Rs. 1640

24. A quantity is decreased by 12% and then increased by 12%. What is the net percentage change?

a) 0.56% decrease
b) 0.56% increase
c) 1.44% decrease
d) No change
Answer: a) 0.56% decrease

25. The price of an article is increased by 25%. By what percentage must the new price be decreased to get back the original price?

a) 20%
b) 22%
c) 18%
d) 25%
Answer: a) 20%

26. A sum of money is invested at a certain rate of interest. It becomes three times in 20 years. Find the rate of interest (simple interest).

a) 10%
b) 12%
c) 15%
d) 20%
Answer: a) 10%

27. A man increases the price of a watch by 15%. If he allows a discount of 10%, then the gain percent is:

a) 5.5%
b) 3.5%
c) 7.5%
d) 8.5%
Answer: b) 3.5%

28. The population of a country increases by 2% every year. Find the approximate population after 3 years if the current population is 25 lakh.

a) 26.5 lakh
b) 27 lakh
c) 26 lakh
d) 27.5 lakh
Answer: a) 26.5 lakh

29. A man sells two articles at 20% profit and 10% loss respectively. Find the overall gain or loss percent.

a) 4.5% loss
b) 4.5% gain
c) 5% gain
d) No gain no loss
Answer: a) 4.5% loss

30. The price of sugar decreases from Rs. 18 per kg to Rs. 15 per kg. What is the percentage decrease in price?

a) 15%
b) 20%
c) 18%
d) 25%
Answer: b) 20%

Mistakes to Avoid While Solving NMAT Percentage Questions

• Ignoring the Base Value: Always confirm the base quantity on which the percentage is calculated (cost price, selling price, population, etc.).
• Confusing Percentage Increase and Decrease: Remember, percentage increase and decrease change the base differently. Use proper formulas for each.
• Not Converting Percentage Into Decimals: Switch percentages to their decimal form during calculations for accuracy (e.g., 15% = 0.15).
• Wrong Application of Successive Percentages: When successive increases or decreases are involved, use the compound formula instead of simply adding/subtracting percentages.
• Rushing Through Calculations: Speed is important but must not compromise accuracy. Double-check values such as discounts and markups.
• Ignoring Units: Ensure consistent units, especially in population and rate problems, to avoid confusion.
• Forgetting to Calculate Overall Effect: In multi-part percentage changes (increase then decrease), calculate net effect carefully to avoid errors.

Conclusion

Mastering these percentage questions will sharpen your quantitative skills and significantly boost your NMAT performance. Consistent practice using high-level problems and avoiding common mistakes is the key to success.

Good luck with your NMAT preparation!