Fractions in Disguise — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 8
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Practise the most important Class 8 CBSE Mathematics questions from Chapter 8, "Fractions in Disguise". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Fractions in Disguise", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Fractions in Disguise, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.
Fractions in Disguise — important questions & MCQs with answers (Class 8 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation.
- Q1Easy
25% written as a fraction in simplest form is:
A.1/4✓ CorrectB.1/2C.1/5D.25/10Answer: A. 1/4
Explanation: 25% means 25/100, which simplifies to 1/4 (divide top and bottom by 25). A common slip is writing 25/10, treating percent as 'over ten' instead of 'over hundred'.
- Q2Easy
10% of 200 is:
A.10B.2C.20✓ CorrectD.40Answer: C. 20
Explanation: 10% of 200 = (10/100) × 200 = 20. Don't confuse this with 10, which is only 5% of 200, not 10%.
- Q3Easy
50% written as a fraction in simplest form is:
A.1/4B.1/5C.2/5D.1/2✓ CorrectAnswer: D. 1/2
Explanation: 50% means 50/100, which simplifies to 1/2. Don't confuse it with 2/5, which equals only 40%, not 50%.
- Q4Easy
50% of 80 is:
A.40✓ CorrectB.30C.20D.160Answer: A. 40
Explanation: 50% of 80 means half of 80: 80 ÷ 2 = 40. A common mistake is halving again to get 20, or doubling to get 160 — 50% needs only one halving step.
- Q5Easy
The fraction 1/4 written as a percentage is:
A.40%B.14%C.25%✓ CorrectD.75%Answer: C. 25%
Explanation: To turn a fraction into a percentage, multiply by 100: 1/4 × 100 = 25%. Don't just attach a percent sign to the digits 1 and 4, giving 14%.
- Q6Easy
25% of 40 is:
A.15B.20C.10✓ CorrectD.4Answer: C. 10
Explanation: 25% of 40 = (1/4) × 40 = 10. A common mistake is dividing by 2 instead of 4, giving the wrong 20.
- Q7Medium
35% of 200 is:
A.35B.65C.70✓ CorrectD.140Answer: C. 70
Explanation: 35% of 200 = (35/100) × 200 = 70. Don't confuse this with 35, the percentage figure itself, or with double it, 140.
- Q8Medium
A price rises from 100 to 120. The percentage increase is:
A.12%B.2%C.20%✓ CorrectD.120%Answer: C. 20%
Explanation: Percentage increase = (increase ÷ original) × 100 = (20/100) × 100 = 20%. Always divide by the original value, not the new one, or the figure comes out wrong.
- Q9Medium
An article bought for ₹200 is sold for ₹250. The profit is:
A.₹250B.₹450C.₹50✓ CorrectD.₹25Answer: C. ₹50
Explanation: Profit = selling price − cost price = 250 − 200 = ₹50. Don't confuse the profit with the selling price itself, ₹250.
- Q10Medium
Simple interest on ₹1000 at 10% per year for 1 year is:
A.₹110B.₹100✓ CorrectC.₹10D.₹1000Answer: B. ₹100
Explanation: Simple interest = (P × R × T)/100 = (1000 × 10 × 1)/100 = ₹100. Adding the 10% rate directly to the principal wrongly gives ₹110.
- Q11Medium
12% of 250 is:
A.25B.30✓ CorrectC.12D.36Answer: B. 30
Explanation: 12% of 250 = (12/100) × 250 = 30. A common mistake is computing 10% of 250 (25) and stopping there.
- Q12Hard
A student scored 60 out of 75. In percentage this is:
A.75%B.60%C.80%✓ CorrectD.85%Answer: C. 80%
Explanation: (60/75) × 100 = 80%. Don't confuse this with the raw numerator's own percentage, 60%.
- Q13Hard
If 20% of a number is 50, the number is:
A.10B.250✓ CorrectC.100D.200Answer: B. 250
Explanation: If 20% of a number is 50, then the number = 50 ÷ 0.20 = 250, since 20% is one-fifth. Multiplying by 4 instead of 5, as if 20% meant one-quarter, gives the wrong 200.
- Q14Hard
A price after a 25% increase is ₹250. The original price was:
A.₹200✓ CorrectB.₹187.50C.₹312.50D.₹225Answer: A. ₹200
Explanation: If the original price × 1.25 = 250, the original price = 250 ÷ 1.25 = ₹200. Taking 25% of 250 (₹62.50) and subtracting instead wrongly bases the increase on the new price.
Key concepts: Fractions in Disguise (Class 8 Mathematics)
This chapter shows that a percentage is just a fraction in disguise — a number out of hundred. You convert freely between percentages, fractions and decimals, find a percentage of a quantity, and express one quantity as a percentage of another. These skills power the real-world uses of percentages: percentage increase and decrease, profit and loss on the cost price, discount on the marked price, and simple interest on a sum of money.
- Per cent
- 'Per cent' means 'out of hundred', so x% is the fraction x/100. 25% means 25 out of every 100.
- Percentage, fraction, decimal
- The same value in three forms: 25% = 25/100 = 1/4 = 0.25. Divide by 100 to make a decimal; multiply by 100 to make a percentage.
- Percentage of a quantity
- To find p% of an amount, multiply the amount by p/100: 20% of 150 = (20/100) × 150 = 30.
- One quantity as a percentage of another
- Express the part as a fraction of the whole and multiply by 100: 45 out of 50 = (45/50) × 100 = 90%.
- Percentage increase / decrease
- Divide the change by the ORIGINAL value and multiply by 100: a rise from 100 to 120 is (20/100) × 100 = 20%.
- Profit and loss
- Compared with the cost price: profit% = (profit/cost) × 100 and loss% = (loss/cost) × 100. Selling at ₹250 what cost ₹200 is a 25% profit.
- Discount
- A reduction on the marked price: discount% = (discount/marked price) × 100. A 20% discount on ₹1000 saves ₹200, so the item costs ₹800.
- Simple interest
- Interest that is the same each year: I = (P × R × T)/100, where P is the principal, R the rate per year and T the time; amount = principal + interest.
- Reverse percentage
- To find the value before a percentage change, divide rather than subtract: after a 25% rise to 250, the original was 250 ÷ 1.25 = 200.
- Successive percentage changes
- Repeated changes multiply, they do not add: a 20% rise then a 20% fall is ×1.2 ×0.8 = 0.96, a 4% net decrease.
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Start this chapter free →Fractions in Disguise — FAQs
What are the key concepts in Class 8 Mathematics Fractions in Disguise?+
This chapter shows that a percentage is just a fraction in disguise — a number out of hundred. You convert freely between percentages, fractions and decimals, find a percentage of a quantity, and express one quantity as a percentage of another. These skills power the real-world uses of percentages: percentage increase and decrease, profit and loss on the cost price, discount on the marked price, and simple interest on a sum of money. Key ideas include Per cent, Percentage, fraction, decimal, Percentage of a quantity, One quantity as a percentage of another, Percentage increase / decrease, Profit and loss.
What does Class 8 Mathematics Chapter 8 (Fractions in Disguise) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Fractions in Disguise": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.
Are these "Fractions in Disguise" questions free to practise?+
Yes. Sign in with Google to practise "Fractions in Disguise" free. Full unlimited access is ₹999/year. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Fractions in Disguise" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Fractions in Disguise" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Fractions in Disguise" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Fractions in Disguise (Class 8 Mathematics)?+
The questions that matter most test Per cent, Percentage, fraction, decimal, Percentage of a quantity, One quantity as a percentage of another, Percentage increase / decrease, Profit and loss. This page shows 14 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Fractions in Disguise?+
Yes — Class 8 Mathematics Fractions in Disguise has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.