CBSE Class 8 Maths Chapter 8: Fractions in Disguise — Assertion & Reason
Download Exam Special Books for CBSE Class 8
Expert crafted · Instant PDF download · 2026-27
The following Assertion and Reason questions are based on Chapter 8: Fractions in Disguise from the NCERT Class 8 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): The percentage 25% is equal to the fraction 1/4.
Reason (R): Percent means per hundred, and 25/100 simplifies to 1/4.
Reason (R): Percent means per hundred, and 25/100 simplifies to 1/4.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The definition of percentage gives the stated equivalence.
2
Assertion (A): The fraction 3/5 is equal to 60%.
Reason (R): The decimal 0.3 is equal to 30%.
Reason (R): The decimal 0.3 is equal to 30%.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both conversions are correct, but the second does not explain the first.
3
Assertion (A): The percentage form of 7/20 is 35%.
Reason (R): To convert a fraction to a percentage, it must always be multiplied by 20.
Reason (R): To convert a fraction to a percentage, it must always be multiplied by 20.
Answer: (c)
A is true, but R is false. Multiplying by 100% gives 35%; the required factor depends on the representation.
4
Assertion (A): A percentage can never exceed 100%.
Reason (R): A value of 120% represents 1.2 times the reference quantity.
Reason (R): A value of 120% represents 1.2 times the reference quantity.
Answer: (d)
A is false, but R is true. Percentages greater than 100 describe quantities larger than the reference.
5
Assertion (A): Thirty per cent of 250 is 75.
Reason (R): 30% of 250 equals (30/100) x 250.
Reason (R): 30% of 250 equals (30/100) x 250.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The calculation gives 75.
6
Assertion (A): Fifty per cent of a quantity is half of it.
Reason (R): Ten per cent of 430 is 43.
Reason (R): Ten per cent of 430 is 43.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second fact does not explain the first.
7
Assertion (A): If 20% of a number is 16, the number is 80.
Reason (R): The number must be 16 x 20.
Reason (R): The number must be 16 x 20.
Answer: (c)
A is true, but R is false. Since 0.2x = 16, x = 80, not 320.
8
Assertion (A): Increasing a quantity by 10% always doubles it.
Reason (R): A 10% increase changes x to 1.1x.
Reason (R): A 10% increase changes x to 1.1x.
Answer: (d)
A is false, but R is true. Doubling is a 100% increase.
9
Assertion (A): Percentages allow scores with different maximum marks to be compared.
Reason (R): They express each score relative to a common base of 100.
Reason (R): They express each score relative to a common base of 100.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. A common denominator makes the relative performances comparable.
10
Assertion (A): A profit occurs when selling price exceeds cost price.
Reason (R): A discount is commonly calculated from the marked price.
Reason (R): A discount is commonly calculated from the marked price.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are correct, but the discount rule does not explain profit.
11
Assertion (A): Profit percentage is commonly calculated as profit divided by cost price times 100.
Reason (R): A profit of 20 on a cost price of 100 gives a profit percentage of 200%.
Reason (R): A profit of 20 on a cost price of 100 gives a profit percentage of 200%.
Answer: (c)
A is true, but R is false. The percentage is 20/100 x 100 = 20%.
12
Assertion (A): A 25% discount on a marked price of 800 gives a selling price of 800.
Reason (R): The discount amount is 200, so the selling price is 600.
Reason (R): The discount amount is 200, so the selling price is 600.
Answer: (d)
A is false, but R is true. The selling price is marked price minus discount.
13
Assertion (A): A 10% tax on a taxable value of 500 is 50.
Reason (R): Ten per cent means one-tenth of the taxable value.
Reason (R): Ten per cent means one-tenth of the taxable value.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. One-tenth of 500 is 50.
14
Assertion (A): A loss occurs when selling price is less than cost price.
Reason (R): A price can still include tax after a discount has been applied.
Reason (R): A price can still include tax after a discount has been applied.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are possible, but taxation after discount does not explain loss.
15
Assertion (A): If an item bought for 400 is sold for 460, the profit is 60.
Reason (R): Its profit percentage is 60/460 x 100.
Reason (R): Its profit percentage is 60/460 x 100.
Answer: (c)
A is true, but R is false. Profit percentage is based on cost price here, so it is 60/400 x 100 = 15%.
16
Assertion (A): A 20% discount followed by a 20% increase always restores the original price.
Reason (R): For an original 100, the successive prices are 80 and 96.
Reason (R): For an original 100, the successive prices are 80 and 96.
Answer: (d)
A is false, but R is true. The second percentage acts on a smaller base.
17
Assertion (A): Simple interest for principal P, rate r per term in decimal form, and t terms is Prt.
Reason (R): Under simple interest, the principal used to calculate interest stays unchanged.
Reason (R): Under simple interest, the principal used to calculate interest stays unchanged.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Equal interest is added each term because the base remains P.
18
Assertion (A): Compound interest adds each term's interest to the principal for later terms.
Reason (R): Simple interest and compound interest can have different totals after several terms.
Reason (R): Simple interest and compound interest can have different totals after several terms.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the possible difference does not define compounding.
19
Assertion (A): At 10% simple interest, 1000 earns 200 over two years.
Reason (R): The amount after two years is 1000(1.1)^2 under simple interest.
Reason (R): The amount after two years is 1000(1.1)^2 under simple interest.
Answer: (c)
A is true, but R is false. Simple interest gives 1000(1 + 0.1 x 2) = 1200; the power formula is for compounding.
20
Assertion (A): At a positive rate, compound and simple interest always give equal amounts for every duration.
Reason (R): After the first compounding term, interest may be earned on earlier interest.
Reason (R): After the first compounding term, interest may be earned on earlier interest.
Answer: (d)
A is false, but R is true. That extra interest makes the totals diverge after more than one term.
❓ Frequently Asked Questions
What is covered in CBSE Class 8 Maths Chapter 8 Fractions in Disguise?
This chapter covers all key topics from Fractions in Disguise as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 8 board exam preparation covering the complete syllabus.
Are these CBSE Class 8 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 8 Maths?
All chapters of CBSE Class 8 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Fractions in Disguise online for free?
Yes, complete Assertion & Reason for Fractions in Disguise is available free at eBookPublisher. Study online directly — no download needed.
Where can I get a complete Assertion & Reason book for CBSE Class 8 Maths?
You can purchase the complete expert-crafted Assertion & Reason book for CBSE Class 8 Maths at eBookPublisher.in. Instant PDF download after payment.