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Percentages MCQ & Objective Questions

Understanding percentages is crucial for students preparing for exams in India. Percentages form a significant part of various subjects, making it essential to grasp the concepts thoroughly. Practicing MCQs and objective questions on percentages not only enhances your knowledge but also boosts your confidence, helping you score better in exams. Engaging with practice questions allows you to identify important questions that frequently appear in assessments.

What You Will Practise Here

Definition and basic concepts of percentages
Conversion of fractions and decimals to percentages
Percentage increase and decrease calculations
Finding the percentage of a number
Applications of percentages in real-life scenarios
Solving word problems involving percentages
Understanding percentage charts and graphs

Exam Relevance

Percentages are a fundamental topic in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that require quick calculations and conceptual understanding. Common question patterns include direct MCQs, word problems, and application-based questions that assess a student's ability to apply percentage concepts in different contexts. Mastering this topic can significantly enhance your performance in both school and competitive exams.

Common Mistakes Students Make

Confusing percentage increase with percentage decrease
Failing to convert fractions and decimals accurately to percentages
Misinterpreting word problems related to percentages
Overlooking the importance of the base value in percentage calculations
Neglecting to practice percentage-related graphs and charts

FAQs

Question: What are some effective strategies for solving percentage problems quickly?
Answer: Practice regularly, learn to convert between fractions, decimals, and percentages, and familiarize yourself with common percentage values.

Question: How can I improve my accuracy in percentage MCQs?
Answer: Focus on understanding the concepts rather than memorizing formulas, and practice with a variety of objective questions.

Don't wait any longer! Dive into our collection of Percentages MCQ questions and test your understanding. Regular practice will not only solidify your knowledge but also prepare you for success in your upcoming exams!

Increase/Decrease & Applications

Q. A population of a town decreases by 15% in one year. If the population was 2000, what is the population after the decrease?

A. 1700
B. 1800
C. 1900
D. 1600

Solution

New Population = Original Population - (15% of Original Population) = 2000 - (0.15 * 2000) = 2000 - 300 = 1700.

Correct Answer: B — 1800

Q. A population of a town increased from 800 to 1000. What is the percentage increase?

A. 25%
B. 20%
C. 15%
D. 30%

Solution

Percentage increase = ((1000 - 800) / 800) * 100 = 25%.

Correct Answer: B — 20%

Q. A population of a town increases by 15% every year. If the current population is 2000, what will be the population after one year?

A. 2300
B. 2200
C. 2150
D. 2100

Solution

Population after one year = Current Population + (15% of Current Population) = 2000 + (0.15 * 2000) = 2000 + 300 = 2300.

Correct Answer: B — 2200

Q. A product is marked at $120 and is sold at a 15% discount. What is the selling price of the product?

A. $102
B. $105
C. $108
D. $110

Solution

Discount = 15% of 120 = 0.15 * 120 = $18. Selling price = 120 - 18 = $102.

Correct Answer: C — $108

Q. A product is marked at $150 and is sold at a 10% discount. What is the selling price?

A. $135
B. $140
C. $145
D. $150

Solution

Selling price = 150 - (10% of 150) = 150 - 15 = 135.

Correct Answer: A — $135

Q. A product is marked at $200 and is sold at a 15% discount. What is the selling price of the product?

A. $170
B. $180
C. $190
D. $200

Solution

Discount = 15% of 200 = 0.15 * 200 = $30. Selling price = 200 - 30 = $170.

Correct Answer: B — $180

Q. A product is sold for $150 after a 10% increase in price. What was the original price?

A. $135
B. $140
C. $145
D. $150

Solution

Let the original price be x. Then, x + 0.1x = 150, so 1.1x = 150, thus x = 150 / 1.1 = 135.

Correct Answer: A — $135

Q. A product's price is decreased by 30% and the new price is $70. What was the original price?

A. $100
B. $90
C. $80
D. $70

Solution

Let the original price be x. Then, x - 0.3x = 70 => 0.7x = 70 => x = 70 / 0.7 = $100.

Correct Answer: A — $100

Q. A product's price is decreased by 30%. If the original price is $80, what is the new price?

A. $56
B. $54
C. $60
D. $58

Solution

New Price = Original Price - (30% of Original Price) = 80 - (0.3 * 80) = 80 - 24 = $56.

Correct Answer: A — $56

Q. A product's price is increased by 15% and then decreased by 15%. What is the net change in price?

A. 0%
B. 2.25%
C. 3.5%
D. 5%

Solution

Let the original price be 100. After a 15% increase, price = 115. After a 15% decrease, price = 115 * 0.85 = 97.75. Net change = (97.75 - 100) / 100 * 100 = -2.25%.

Correct Answer: B — 2.25%

Q. A product's price is increased by 15% and then decreased by 15%. What is the net percentage change in the price?

A. -2.25%
B. 0%
C. 2.25%
D. 15%

Solution

Let the original price be 100. After 15% increase, price = 115. After 15% decrease, price = 115 - (15/100)*115 = 115 - 17.25 = 97.75. Net change = (97.75 - 100)/100 * 100 = -2.25%.

Correct Answer: A — -2.25%

Q. A product's price is reduced by 30% and the sale price is $70. What was the original price?

A. $90
B. $100
C. $80
D. $70

Solution

Let the original price be x. Then, x - (30% of x) = 70. This means 0.7x = 70, so x = 70 / 0.7 = $100.

Correct Answer: A — $90

Q. A product's price is reduced by 30%. If the original price was $80, what is the reduced price?

A. $56
B. $60
C. $54
D. $58

Solution

Reduced Price = Original Price - (30% of Original Price) = 80 - (0.3 * 80) = 80 - 24 = $56.

Correct Answer: A — $56

Q. A salary is increased by 25%. If the original salary is $40,000, what is the new salary?

A. $50,000
B. $45,000
C. $48,000
D. $52,000

Solution

New Salary = Original Salary + (25% of Original Salary) = 40000 + (0.25 * 40000) = 40000 + 10000 = $50,000.

Correct Answer: B — $45,000

Q. A salary of $3000 is decreased by 10%. What is the new salary?

A. $2700
B. $2800
C. $2900
D. $3000

Solution

New Salary = Original Salary - (10% of Original Salary) = 3000 - (0.1 * 3000) = 3000 - 300 = $2700.

Correct Answer: A — $2700

Q. A shirt is sold for $30 after a 25% discount. What was the original price?

A. $35
B. $40
C. $45
D. $50

Solution

Let the original price be x. Then, 75% of x = 30. So, x = 30 / 0.75 = 40.

Correct Answer: B — $40

Q. A shopkeeper increases the price of a shirt by 20%. If the original price was $50, what is the new price?

A. $60
B. $55
C. $70
D. $65

Solution

New Price = Original Price + (20% of Original Price) = 50 + (0.2 * 50) = 50 + 10 = $60.

Correct Answer: A — $60

Q. A store increases the price of a product by 25% and then offers a 20% discount. If the original price was $80, what is the final price after the discount?

A. $80
B. $85
C. $90
D. $95

Solution

New price after increase = 80 + (25% of 80) = 80 + 20 = $100. Discount = 20% of 100 = 20. Final price = 100 - 20 = $80.

Correct Answer: B — $85

Q. A store increases the price of a product by 25% and then offers a discount of 20%. If the original price was $80, what is the final price after the discount?

A. $72
B. $76
C. $80
D. $64

Solution

New price after increase = 80 + 0.25 * 80 = 100. Discount = 20% of 100 = 20. Final price = 100 - 20 = $80.

Correct Answer: A — $72

Q. A store increases the price of an item by 20% and then offers a 10% discount. What is the final price if the original price was $50?

A. $54
B. $56
C. $58
D. $60

Solution

New price after 20% increase = 50 * 1.2 = 60. Price after 10% discount = 60 * 0.9 = 54.

Correct Answer: B — $56

Q. A store offers a 30% discount on a jacket that originally costs $80. What is the sale price of the jacket?

A. $56
B. $60
C. $54
D. $50

Solution

Discount = 30% of 80 = (30/100) * 80 = 24. Sale price = 80 - 24 = $56.

Correct Answer: A — $56

Q. A student needs to score 75% to pass an exam. If the total marks are 400, what is the minimum score required to pass?

A. 300
B. 250
C. 350
D. 280

Solution

Minimum score required = 75% of 400 = (75/100) * 400 = 300.

Correct Answer: A — 300

Q. A student scored 80 marks in an exam. If the passing marks are increased by 20%, what are the new passing marks if they were originally 75?

A. 90
B. 85
C. 80
D. 95

Solution

New Passing Marks = Original Passing Marks + (20% of Original Passing Marks) = 75 + (0.2 * 75) = 75 + 15 = 90.

Correct Answer: A — 90

Q. A student scored 80% in a test. If the maximum marks are 200, how many marks did the student score?

A. 160
B. 180
C. 150
D. 170

Solution

Marks scored = 80% of Maximum Marks = 0.8 * 200 = 160.

Correct Answer: A — 160

Q. A student scored 80% in an exam. If the total marks were 200, how many marks did the student score?

A. 160
B. 180
C. 200
D. 150

Solution

Marks scored = 80% of Total Marks = 0.8 * 200 = 160.

Correct Answer: A — 160

Q. A student scored 80% in Mathematics and 70% in Science. If both subjects are equally weighted, what is the average percentage?

A. 75%
B. 76%
C. 77%
D. 78%

Solution

Average percentage = (80 + 70) / 2 = 75%.

Correct Answer: A — 75%

Q. A student scores 80% in a test after increasing his score by 20 marks. If the maximum score is 100, what was his original score?

A. 60
B. 50
C. 70
D. 40

Solution

Let the original score be x. Then, x + 20 = 80% of 100 => x + 20 = 80 => x = 80 - 20 = 60.

Correct Answer: C — 70

Q. A student scores 80% in a test. If the total marks are 200, how many marks did the student score?

A. 160
B. 150
C. 170
D. 180

Solution

Marks scored = 80% of Total Marks = 0.8 * 200 = 160.

Correct Answer: A — 160

Q. A ticket price is increased by 15%. If the original price is $120, what is the new price?

A. $138
B. $140
C. $135
D. $130

Solution

New Price = Original Price + (15% of Original Price) = 120 + (0.15 * 120) = 120 + 18 = $138.

Correct Answer: A — $138

Q. If 60% of a class of 50 students are girls, how many boys are there?

A. 20
B. 25
C. 30
D. 35

Solution

Number of girls = 60% of 50 = 30. Number of boys = 50 - 30 = 20.

Correct Answer: A — 20

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