Percentage MCQ & Objective Questions
Understanding percentages is crucial for students preparing for school exams and competitive tests in India. Mastering this topic not only aids in solving real-life problems but also enhances your performance in exams. Practicing MCQs and objective questions on percentages helps you grasp key concepts and boosts your confidence, ensuring you score better in important exams.
What You Will Practise Here
Definition and significance of percentages
Conversion between fractions, decimals, and percentages
Calculating percentage increase and decrease
Finding percentages of given quantities
Applications of percentages in profit and loss
Percentage problems in ratio and proportion
Real-life applications of percentages in various fields
Exam Relevance
Percentage is a vital topic in various examinations, including CBSE, State Boards, NEET, and JEE. It frequently appears in objective questions, where students are required to solve problems related to percentage calculations, profit and loss, and data interpretation. Common question patterns include direct calculations, word problems, and application-based scenarios, making it essential for students to be well-prepared.
Common Mistakes Students Make
Confusing percentage increase with percentage decrease
Incorrectly converting fractions and decimals to percentages
Misunderstanding the context of word problems
Neglecting to simplify problems before solving
Overlooking the importance of units in percentage calculations
FAQs
Question: What are some effective strategies to solve percentage MCQs quickly?Answer: Practice regularly, understand the underlying concepts, and learn shortcuts for common calculations to improve speed and accuracy.
Question: How can I relate percentages to real-life situations?Answer: Consider examples like discounts during shopping, interest rates on loans, or calculating marks in exams to see the practical applications of percentages.
Now is the time to enhance your understanding of percentages! Dive into our practice MCQs and test your knowledge to ensure you are well-prepared for your exams. Remember, consistent practice leads to success!
Q. If 45% of a number is 90, what is the number?
A.
150
B.
200
C.
250
D.
300
Show solution
Solution
Let the number be x. 0.45x = 90, x = 90/0.45 = 200
Correct Answer:
B
— 200
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Q. If 60% of a number is 120, what is the number?
A.
150
B.
180
C.
200
D.
250
Show solution
Solution
Let the number be x. 0.6x = 120, x = 120/0.6 = 200
Correct Answer:
C
— 200
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Q. If 60% of a number is 240, what is the number?
A.
360
B.
400
C.
420
D.
480
Show solution
Solution
Let the number be x. Then, 0.6x = 240. Therefore, x = 240/0.6 = 400.
Correct Answer:
B
— 400
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Q. If a bank offers 5% interest per annum, how much interest will be earned on a deposit of $1,000 after 2 years?
A.
100
B.
50
C.
75
D.
200
Show solution
Solution
Interest = Principal * Rate * Time = 1000 * 0.05 * 2 = $100.
Correct Answer:
A
— 100
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Q. If a bank offers 5% interest per annum, how much interest will be earned on a deposit of $2000 after 3 years?
A.
300
B.
200
C.
150
D.
250
Show solution
Solution
Simple interest = Principal * Rate * Time = 2000 * (5/100) * 3 = 300.
Correct Answer:
A
— 300
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Q. If a bank offers 5% interest per annum, how much interest will be earned on a principal of $2000 after 3 years?
A.
300
B.
200
C.
150
D.
100
Show solution
Solution
Interest = Principal * Rate * Time = 2000 * (5/100) * 3 = $300.
Correct Answer:
A
— 300
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Q. If a bank offers 5% interest per annum, how much interest will be earned on a principal of $2000 in 2 years?
A.
200
B.
100
C.
150
D.
250
Show solution
Solution
Interest = Principal * Rate * Time = 2000 * (5/100) * 2 = $200.
Correct Answer:
B
— 100
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Q. If a car travels 150 km in 3 hours, what is the percentage of speed if the average speed is 50 km/h?
A.
100%
B.
75%
C.
50%
D.
125%
Show solution
Solution
Average speed = 150 km / 3 h = 50 km/h. Percentage of average speed = (50/50) * 100 = 100%.
Correct Answer:
A
— 100%
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Q. If a car's value depreciates by 10% annually and its current value is $20,000, what will be its value after one year?
A.
18000
B.
19000
C.
20000
D.
17000
Show solution
Solution
Depreciation = 10% of 20000 = 2000. Value after one year = 20000 - 2000 = 18000.
Correct Answer:
A
— 18000
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Q. If a car's value depreciates by 15% and its original value was $20,000, what is its new value?
A.
17000
B.
18000
C.
19000
D.
16000
Show solution
Solution
Depreciation = 15% of $20,000 = $3,000. New value = $20,000 - $3,000 = $17,000.
Correct Answer:
A
— 17000
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Q. If a car's value depreciates by 15% each year and its current value is $20,000, what will be its value after one year?
A.
$15,000
B.
$16,500
C.
$17,000
D.
$18,000
Show solution
Solution
Value after one year = 20,000 - (15/100)*20,000 = 20,000 - 3,000 = $17,000.
Correct Answer:
B
— $16,500
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Q. If a car's value depreciates by 30% and its original value is $20,000, what is its current value?
A.
14,000
B.
16,000
C.
18,000
D.
12,000
Show solution
Solution
Depreciation = 30% of $20,000 = $6,000. Current value = $20,000 - $6,000 = $14,000.
Correct Answer:
B
— 16,000
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Q. If a car's value depreciates by 30% in a year and its original value is $20,000, what is its value after one year?
A.
14,000
B.
15,000
C.
16,000
D.
17,000
Show solution
Solution
Depreciation = 30% of $20,000 = $6,000. Value after one year = $20,000 - $6,000 = $14,000.
Correct Answer:
A
— 14,000
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Q. If a jacket is marked at $120 and is sold at a 25% discount, what is the sale price?
A.
$80
B.
$85
C.
$90
D.
$95
Show solution
Solution
Discount = 25% of 120 = 30. Sale price = 120 - 30 = 90.
Correct Answer:
A
— $80
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Q. If a jacket is marked at $120 and is sold for $90, what is the percentage discount?
A.
20%
B.
25%
C.
30%
D.
35%
Show solution
Solution
Discount = (120 - 90) / 120 * 100 = 30 / 120 * 100 = 25%.
Correct Answer:
C
— 30%
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Q. If a jacket is marked at $150 and is sold for $120, what is the discount percentage?
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Discount = 150 - 120 = 30. Discount percentage = (30 / 150) * 100 = 20%.
Correct Answer:
C
— 25%
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Q. If a jacket is priced at $80 and is marked down by 30%, what is the final price?
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Solution
30% of $80 = $24. Final price = $80 - $24 = $56.
Correct Answer:
A
— 56
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Q. If a man earns $1200 after a 20% raise, what was his original salary?
A.
$900
B.
$1000
C.
$1100
D.
$1200
Show solution
Solution
Let the original salary be x. After a 20% raise, x + 0.2x = 1.2x = 1200. Thus, x = 1200 / 1.2 = 1000.
Correct Answer:
B
— $1000
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Q. If a man earns $1200 after a 20% raise, what was his salary before the raise?
A.
$900
B.
$1000
C.
$1100
D.
$1200
Show solution
Solution
Let the original salary be x. After a 20% raise, the salary is x + 0.2x = 1.2x. Given 1.2x = 1200, we find x = 1200 / 1.2 = 1000.
Correct Answer:
B
— $1000
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Q. If a man earns $500 and spends 60% of it, how much does he save?
A.
200
B.
300
C.
250
D.
150
Show solution
Solution
60% of $500 = (60/100) * 500 = $300. Savings = $500 - $300 = $200.
Correct Answer:
B
— 300
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Q. If a person earns $1200 after a 20% raise, what was his salary before the raise?
A.
$1000
B.
$1100
C.
$900
D.
$950
Show solution
Solution
Let the original salary be x. After a 20% raise, the salary is x + 0.2x = 1.2x. Therefore, 1.2x = 1200, so x = 1200 / 1.2 = $1000.
Correct Answer:
A
— $1000
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Q. If a person earns $5000 and spends 60% of it, how much does he save?
A.
$1500
B.
$2000
C.
$2500
D.
$3000
Show solution
Solution
Spending = 60% of 5000 = 3000. Savings = 5000 - 3000 = $2000.
Correct Answer:
B
— $2000
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Q. If a person invests $1000 at an interest rate of 5% per annum, how much interest will he earn in 3 years (simple interest)?
A.
150
B.
100
C.
200
D.
250
Show solution
Solution
Simple Interest = PRT = 1000 * 5/100 * 3 = 150.
Correct Answer:
B
— 100
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Q. If a person invests $2000 at an interest rate of 5% per annum, how much interest will he earn in 3 years?
A.
300
B.
200
C.
150
D.
250
Show solution
Solution
Simple interest = Principal * Rate * Time = 2000 * 0.05 * 3 = $300.
Correct Answer:
A
— 300
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Q. If a person saves 15% of his salary and his salary is $1200, how much does he save?
A.
$150
B.
$180
C.
$200
D.
$220
Show solution
Solution
Savings = 0.15 * 1200 = $180.
Correct Answer:
B
— $180
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Q. If a person saves 15% of his salary and his salary is $800, how much does he save?
A.
$100
B.
$120
C.
$150
D.
$180
Show solution
Solution
Savings = 0.15 * 800 = $120.
Correct Answer:
B
— $120
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Q. If a person saves 25% of his salary and his salary is $800, how much does he save?
A.
$150
B.
$200
C.
$250
D.
$300
Show solution
Solution
Savings = 25% of 800 = 0.25 * 800 = 200.
Correct Answer:
B
— $200
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Q. If a person saves 30% of his salary and his salary is $2000, how much does he save?
A.
$500
B.
$600
C.
$700
D.
$800
Show solution
Solution
Savings = 30% of 2000 = 0.3 * 2000 = $600.
Correct Answer:
B
— $600
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Q. If a person saves 30% of his salary and his savings amount to $600, what is his total salary?
A.
$1,800
B.
$2,000
C.
$2,200
D.
$2,400
Show solution
Solution
Let the salary be x. 30% of x = 600; 0.3x = 600; x = 600 / 0.3 = 2000.
Correct Answer:
B
— $2,000
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Q. If a population increases from 5000 to 6000, what is the percentage increase?
A.
20%
B.
25%
C.
30%
D.
15%
Show solution
Solution
Increase = 6000 - 5000 = 1000. Percentage increase = (1000/5000) * 100 = 20%.
Correct Answer:
A
— 20%
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