Mastering Percentage for Competitive Exam Success

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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. A shirt is sold for $240 after a discount of 20%. What was the original price of the shirt?

A. $200
B. $220
C. $240
D. $300

Solution

Let the original price be x. After a 20% discount, the selling price is x - 0.2x = 0.8x. Given 0.8x = 240, we find x = 240 / 0.8 = 300.

Correct Answer: A — $200

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

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

Solution

Let the original price be x. Then, 0.75x = 30. Therefore, x = 30 / 0.75 = 40.

Correct Answer: B — $40

Q. A store increases the price of a product by 12% and then offers a discount of 12% on the new price. What is the net effect on the price?

A. 0%
B. 1.44% increase
C. 1.44% decrease
D. 2.4% increase

Solution

Let the original price be 100. New price after increase = 100 + 12 = 112. Discount = 12% of 112 = 13.44. Final price = 112 - 13.44 = 98.56. Net effect = (98.56 - 100) / 100 * 100 = -1.44%.

Correct Answer: B — 1.44% increase

Q. A store increases the price of a product by 20% and then offers a 10% discount on the new price. If the original price is $50, what is the final price after the discount?

A. $54
B. $55
C. $56
D. $57

Solution

New price after 20% increase = 50 + 10 = 60. Discount = 10% of 60 = 6. Final price = 60 - 6 = $54.

Correct Answer: A — $54

Q. A store increases the price of a product by 20% and then offers a 10% discount. If the original price was $50, what is the final price?

A. $48
B. $50
C. $52
D. $54

Solution

New price after increase = 50 + (20% of 50) = 50 + 10 = 60. Discount = 10% of 60 = 6. Final price = 60 - 6 = 54.

Correct Answer: A — $48

Q. A store increases the price of a product by 25% and then offers a discount of 10%. If the original price was $200, what is the final price?

A. $210
B. $220
C. $230
D. $240

Solution

New price after increase = 200 + 25% of 200 = 200 + 50 = 250. Discount = 10% of 250 = 25. Final price = 250 - 25 = 225.

Correct Answer: A — $210

Q. A store increases the price of an item by 25% and then offers a 20% discount. What is the net percentage increase in price?

A. 5%
B. 10%
C. 15%
D. 20%

Solution

New price = 1.25x, after discount = 1.25x * 0.8 = x * 1.0. Net increase = 0%.

Correct Answer: B — 10%

Q. A store increases the price of an item by 25% and then offers a 20% discount. What is the net percentage change in price?

A. 5% increase
B. 10% decrease
C. 10% increase
D. 5% decrease

Solution

Let the original price be $100. New price = 125. After discount = 125 - (20/100 * 125) = 100. Net change = 0%.

Correct Answer: A — 5% increase

Q. A store offers a 10% discount on a $50 item. What is the final price after the discount?

A. $40
B. $45
C. $50
D. $55

Solution

Discount = 10% of 50 = 5. Final price = 50 - 5 = 45.

Correct Answer: A — $40

Q. A store offers a 10% discount on a product that costs $150. What is the final price after the discount?

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

Solution

Discount = 10% of 150 = 15; Final price = 150 - 15 = 135.

Correct Answer: A — $135

Q. A store offers a 15% discount on all items. If an item costs $200 after the discount, what was the original price?

A. $220
B. $230
C. $240
D. $250

Solution

Let the original price be x. After a 15% discount, the selling price is 85% of x; 0.85x = 200; x = 200 / 0.85 = 235.29.

Correct Answer: A — $220

Q. A store offers a 15% discount on all items. If an item is priced at $80, what is the final price after the discount?

A. $65
B. $66
C. $67
D. $68

Solution

Discount = 15% of 80 = 0.15 * 80 = 12; Final price = 80 - 12 = 68.

Correct Answer: A — $65

Q. A store offers a 25% discount on a $120 item. What is the final price after the discount?

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

Solution

Final price = 120 - (0.25 * 120) = 120 - 30 = $90.

Correct Answer: A — $80

Q. A store offers a 25% discount on a $120 item. What is the sale price?

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

Solution

Sale price = 120 - (25/100 * 120) = 120 - 30 = 90.

Correct Answer: A — $80

Q. A store offers a 25% discount on a $200 item. What is the sale price?

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

Solution

Discount = 0.25 * 200 = 50. Sale price = 200 - 50 = $150.

Correct Answer: A — $150

Q. A store offers a 25% discount on a jacket that costs $120. What is the final price after the discount?

A. $90
B. $95
C. $85
D. $100

Solution

Final price = 120 - (25/100 * 120) = 120 - 30 = 90.

Correct Answer: A — $90

Q. A store offers a 25% discount on a jacket that costs $80. What is the sale price of the jacket?

A. $60
B. $70
C. $75
D. $80

Solution

Discount = 25% of 80 = 0.25 * 80 = $20. Sale price = 80 - 20 = $60.

Correct Answer: A — $60

Q. A store offers a 30% discount on a $150 item. What is the final price after the discount?

A. $100
B. $105
C. $110
D. $120

Solution

Final price = 150 - (0.3 * 150) = 150 - 45 = 105

Correct Answer: B — $105

Q. A store offers a 30% discount on a jacket that costs $70. What is the final price after the discount?

A. $40
B. $45
C. $50
D. $55

Solution

Discount = 30% of 70 = 0.3 * 70 = 21. Final price = 70 - 21 = 49.

Correct Answer: B — $45

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

A. $50
B. $54
C. $56
D. $58

Solution

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

Correct Answer: C — $56

Q. A store sells a laptop for $800 after a 20% discount. What was the original price?

A. 1000
B. 960
C. 800
D. 840

Solution

Let original price be x. 80% of x = $800. So, x = 800 / 0.8 = $1000.

Correct Answer: A — 1000

Q. A store sells a laptop for $800 after applying a 20% markup. What was the cost price?

A. 640
B. 600
C. 700
D. 720

Solution

Let cost price be x. Then, 1.2x = 800. Cost price = 800 / 1.2 = 666.67.

Correct Answer: A — 640

Q. A store sells a laptop for $800 after applying a 20% markup. What was the original price?

A. 640
B. 600
C. 700
D. 720

Solution

Let original price = x. 1.2x = 800. x = 800 / 1.2 = 666.67.

Correct Answer: A — 640

Q. A student got 75% marks in an exam and scored 300 marks. What are the maximum marks of the exam?

A. 350
B. 400
C. 450
D. 500

Solution

Let the maximum marks be x. 75% of x = 300; 0.75x = 300; x = 300 / 0.75 = 400.

Correct Answer: B — 400

Q. A student improved his score from 60% to 75% in a subject. What is the percentage increase in his score?

A. 10%
B. 15%
C. 25%
D. 20%

Solution

Percentage increase = ((75 - 60) / 60) * 100 = (15/60) * 100 = 25%.

Correct Answer: D — 20%

Q. A student improved his score from 70 to 84 in a test. What is the percentage increase in his score?

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

Solution

Percentage increase = ((84 - 70) / 70) * 100 = 20%.

Correct Answer: C — 25%

Q. A student improved his score from 70 to 85 in a subject. What is the percentage increase in his score?

A. 20%
B. 21.43%
C. 25%
D. 30%

Solution

Percentage increase = ((85 - 70) / 70) * 100 = 21.43%.

Correct Answer: B — 21.43%

Q. A student improved his score from 70 to 85 in a test. What is the percentage increase in his score?

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

Solution

Percentage increase = ((85 - 70) / 70) * 100 = (15/70) * 100 ≈ 21.43%

Correct Answer: C — 25%

Q. A student increased his score from 70 to 85 in a subject. What is the percentage increase in his score?

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

Solution

Percentage increase = ((85 - 70) / 70) * 100 = (15 / 70) * 100 ≈ 21.43%.

Correct Answer: C — 25%

Q. A student needs to score 60% to pass an exam. If the exam has 80 questions, how many questions must he answer correctly?

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

Solution

Questions to answer correctly = 0.6 * 80 = 48.

Correct Answer: C — 60

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