Percentages are a vital concept in mathematics, used in various real-world scenarios, from calculating discounts to interpreting statistics. Having a clear understanding of percentages is essential for tackling problems in daily life and in more complex subjects like finance, economics, and even science.
In this blog post, we present 50 unique multiple-choice questions (MCQs) focused on percentages. These questions range from basic to advanced levels, designed to challenge your understanding and improve your problem-solving abilities. Each question is followed by an explanation of the correct answer to help you learn as you go.
Mastering Percentages: 50 Unique MCQs to Test Your Skills
- What is 25% of 180?
- A) 45
- B) 50
- C) 55
- D) 40
Answer: A) 45
Explanation: 25% of 180 = (25/100) × 180 = 45.
- A shopkeeper marks a product at $120 and offers a 20% discount. What is the selling price?
- A) $100
- B) $96
- C) $80
- D) $110
Answer: B) $96
Explanation: Discount = 20% of $120 = $24. Selling price = $120 – $24 = $96.
- If a number is increased by 20% and the new number is 180, what was the original number?
- A) 150
- B) 160
- C) 140
- D) 135
Answer: A) 150
Explanation: Let the original number be x. x + 20% of x = 180, so x = 150.
- A class has 60 students, 40% of them are boys. How many boys are there in the class?
- A) 24
- B) 30
- C) 20
- D) 36
Answer: A) 24
Explanation: 40% of 60 = (40/100) × 60 = 24 boys.
- What is the percentage increase from 50 to 75?
- A) 50%
- B) 60%
- C) 30%
- D) 25%
Answer: A) 50%
Explanation: Percentage increase = ((75 – 50) / 50) × 100 = 50%.
- A product originally costs $200. If the price is reduced by 30%, what is the new price?
- A) $140
- B) $160
- C) $180
- D) $150
Answer: A) $140
Explanation: Discount = 30% of $200 = $60. New price = $200 – $60 = $140.
- What is 12% of 450?
- A) 54
- B) 58
- C) 60
- D) 52
Answer: A) 54
Explanation: 12% of 450 = (12/100) × 450 = 54.
- A car’s price is reduced by 15%. If the original price was $8000, what is the reduced price?
- A) $6800
- B) $7000
- C) $7500
- D) $7200
Answer: A) $6800
Explanation: Discount = 15% of $8000 = $1200. Reduced price = $8000 – $1200 = $6800.
- What is the percentage of 30 in 150?
- A) 15%
- B) 20%
- C) 25%
- D) 30%
Answer: B) 20%
Explanation: (30/150) × 100 = 20%.
- If a number is reduced by 25% and the result is 90, what was the original number?
- A) 100
- B) 120
- C) 130
- D) 115
Answer: B) 120
Explanation: Let the original number be x. x – 25% of x = 90, so x = 120.
- What is the percentage change from 50 to 80?
- A) 60%
- B) 50%
- C) 40%
- D) 30%
Answer: A) 60%
Explanation: Percentage change = ((80 – 50) / 50) × 100 = 60%.
- A student scored 45 marks out of 50. What is the percentage score?
- A) 85%
- B) 90%
- C) 80%
- D) 70%
Answer: B) 90%
Explanation: (45/50) × 100 = 90%.
- A population of a city increases from 500,000 to 600,000. What is the percentage increase in population?
- A) 10%
- B) 15%
- C) 20%
- D) 25%
Answer: C) 20%
Explanation: Percentage increase = ((600,000 – 500,000) / 500,000) × 100 = 20%.
- A product originally priced at $2000 is sold for $1800. What is the percentage loss?
- A) 10%
- B) 20%
- C) 15%
- D) 5%
Answer: A) 10%
Explanation: Loss = $2000 – $1800 = $200. Percentage loss = (200 / 2000) × 100 = 10%.
- What is 10% of 1500?
- A) 150
- B) 100
- C) 120
- D) 180
Answer: A) 150
Explanation: 10% of 1500 = (10/100) × 1500 = 150.
- If the price of a product increases by 25% and the new price is $375, what was the original price?
- A) $300
- B) $250
- C) $350
- D) $200
Answer: A) $300
Explanation: Let the original price be x. x + 25% of x = 375, so x = 300.
- A man invests $5000 at 8% annual interest. How much interest will he earn in one year?
- A) $300
- B) $400
- C) $500
- D) $600
Answer: B) $400
Explanation: Interest = 8% of $5000 = (8/100) × 5000 = $400.
- What is the percentage of 65 in 400?
- A) 15%
- B) 16%
- C) 18%
- D) 20%
Answer: B) 16%
Explanation: (65/400) × 100 = 16.25%, approximately 16%.
- A student answered 80 out of 100 questions correctly. What percentage did the student get?
- A) 75%
- B) 80%
- C) 85%
- D) 90%
Answer: B) 80%
Explanation: (80/100) × 100 = 80%.
- If a number is increased by 50% and the new number is 150, what was the original number?
- A) 100
- B) 120
- C) 110
- D) 90
Answer: A) 100
Explanation: Let the original number be x. x + 50% of x = 150, so x = 100.
- A discount of 12% is given on a product costing $250. What is the final price?
- A) $220
- B) $225
- C) $230
- D) $240
Answer: A) $220
Explanation: Discount = 12% of $250 = $30. Final price = $250 – $30 = $220.
- If a product is originally priced at $350 and is sold at a 15% discount, what is the discount amount?
- A) $50
- B) $45
- C) $55
- D) $60
Answer: A) $50
Explanation: Discount = 15% of $350 = $52.5 (rounded to nearest whole dollar = $50).
- If a student scores 72 marks out of 90, what percentage did they score?
- A) 80%
- B) 75%
- C) 70%
- D) 85%
Answer: A) 80%
Explanation: (72/90) × 100 = 80%.
- A product is sold for $180 after a 25% increase in price. What was the original price?
- A) $150
- B) $160
- C) $140
- D) $170
Answer: A) $150
Explanation: Let the original price be x. x + 25% of x = 180, so x = 150.
- A population increases from 250,000 to 275,000. What is the percentage increase?
- A) 10%
- B) 15%
- C) 12%
- D) 11%
Answer: A) 10%
Explanation: Percentage increase = ((275,000 – 250,000) / 250,000) × 100 = 10%.
- What is 50% of 800?
A) 400
B) 500
C) 300
D) 600
Answer: A) 400
Explanation: 50% of 800 = (50/100) × 800 = 400. - The price of a product is reduced by 10%. If the original price is $500, what is the new price?
A) $450
B) $480
C) $400
D) $550
Answer: A) $450
Explanation: Discount = 10% of $500 = $50. New price = $500 – $50 = $450. - A car’s value depreciates by 20%. If its original value was $10,000, what is the depreciated value?
A) $9000
B) $8000
C) $8500
D) $9500
Answer: B) $8000
Explanation: Depreciation = 20% of $10,000 = $2000. Depreciated value = $10,000 – $2000 = $8000. - A student scored 60% on a test of 200 marks. How many marks did the student get?
A) 100
B) 120
C) 130
D) 140
Answer: B) 120
Explanation: 60% of 200 = (60/100) × 200 = 120 marks. - A salary is increased by 15%. If the original salary is $40,000, what is the new salary?
A) $46,000
B) $45,500
C) $44,000
D) $48,000
Answer: A) $46,000
Explanation: Increase = 15% of $40,000 = $6000. New salary = $40,000 + $6000 = $46,000. - What is the percentage of 150 in 1200?
A) 10%
B) 12%
C) 15%
D) 20%
Answer: B) 12%
Explanation: (150/1200) × 100 = 12.5%, approximately 12%. - A company earns a profit of $2500 on an investment of $10,000. What is the percentage profit?
A) 25%
B) 20%
C) 30%
D) 15%
Answer: A) 25%
Explanation: Profit percentage = (2500/10000) × 100 = 25%. - The price of a stock increases by 18% from $50. What is the new price of the stock?
A) $58
B) $60
C) $55
D) $59
Answer: A) $58
Explanation: Increase = 18% of $50 = $9. New price = $50 + $9 = $58. - A product costing $2000 is sold for $2400. What is the percentage markup?
A) 10%
B) 15%
C) 20%
D) 25%
Answer: C) 20%
Explanation: Markup = (2400 – 2000) / 2000 × 100 = 20%. - A population of a city increases from 300,000 to 360,000. What is the percentage increase in population?
A) 15%
B) 20%
C) 25%
D) 10%
Answer: B) 20%
Explanation: Percentage increase = ((360,000 – 300,000) / 300,000) × 100 = 20%. - What is 35% of 800?
A) 270
B) 300
C) 280
D) 350
Answer: C) 280
Explanation: 35% of 800 = (35/100) × 800 = 280. - A man spends 30% of his salary on rent. If his salary is $2000, how much does he pay for rent?
A) $600
B) $500
C) $700
D) $800
Answer: A) $600
Explanation: Rent = 30% of $2000 = $600. - A factory increases its production by 25%. If the original production was 400 units, how many units are produced now?
A) 500
B) 450
C) 550
D) 600
Answer: A) 500
Explanation: Increase = 25% of 400 = 100. New production = 400 + 100 = 500 units. - A car is sold for $18,000 after a 10% discount. What was the original price?
A) $20,000
B) $22,000
C) $21,000
D) $19,000
Answer: A) $20,000
Explanation: Let the original price be x. x – 10% of x = 18,000, so x = $20,000. - A book costs $80. If the price is increased by 25%, what is the new price?
A) $100
B) $105
C) $90
D) $110
Answer: A) $100
Explanation: Increase = 25% of $80 = $20. New price = $80 + $20 = $100. - The price of a commodity decreases by 12%. If the original price was $500, what is the new price?
A) $440
B) $450
C) $460
D) $480
Answer: A) $440
Explanation: Decrease = 12% of $500 = $60. New price = $500 – $60 = $440. - A student received 45 out of 60 marks on a test. What percentage of marks did the student score?
A) 75%
B) 80%
C) 85%
D) 70%
Answer: A) 75%
Explanation: (45/60) × 100 = 75%. - A person’s salary increases from $25,000 to $28,000. What is the percentage increase in salary?
A) 12%
B) 15%
C) 10%
D) 8%
Answer: B) 12%
Explanation: Percentage increase = ((28,000 – 25,000) / 25,000) × 100 = 12%. - The value of a stock drops by 30%. If the original value was $150, what is the current value?
A) $105
B) $100
C) $110
D) $120
Answer: A) $105
Explanation: Drop = 30% of $150 = $45. Current value = $150 – $45 = $105. - What is the percentage of 45 in 600?
A) 5%
B) 7.5%
C) 8%
D) 9%
Answer: B) 7.5%
Explanation: (45/600) × 100 = 7.5%. - A population of 5000 grows by 5% annually. What will be the population after 1 year?
A) 5050
B) 5200
C) 5500
D) 5400
Answer: A) 5050
Explanation: Growth = 5% of 5000 = 250. New population = 5000 + 250 = 5050. - A product is sold for $400 after a 20% discount. What was the original price?
A) $450
B) $500
C) $520
D) $480
Answer: B) $500
Explanation: Let the original price be x. x – 20% of x = 400, so x = $500. - A stock price increases from $150 to $180. What is the percentage increase in stock price?
A) 15%
B) 20%
C) 25%
D) 30%
Answer: B) 20%
Explanation: Percentage increase = ((180 – 150) / 150) × 100 = 20%. - What is 45% of 300?
A) 120
B) 125
C) 130
D) 135
Answer: A) 135
Explanation: 45% of 300 = (45/100) × 300 = 135. - The price of an item is reduced by 18%. If the original price was $250, what is the reduced price?
A) $200
B) $210
C) $220
D) $230
Answer: A) $200
Explanation: Reduction = 18% of $250 = $45. Reduced price = $250 – $45 = $200.
This concludes the 50 unique multiple-choice questions on percentages. By working through these questions, you’ll be able to improve your understanding of percentages and gain better problem-solving skills in various practical situations.
Also Solve these Questions: 50 MCQs on Computers for Exams
You may also like to read our Other Post: Folk Dances Of India: MCQs with Answers and Explanations
Sidhant Singh is a highly accomplished professional educator with a diverse academic background. He holds a Master’s degree in History, an MSc in Electrical Engineering and a PhD, demonstrating his extensive knowledge and expertise in both the humanities and the sciences. His unique combination of skills enables him to offer a well-rounded perspective in his teaching and research, making him a valuable resource for students across various fields.