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Fractions in Disguise — Class 8 MCQs with Answers

Class 8 CBSE Mathematics · Chapter 8

9 timed quizzes · Easy, Medium and Hard · Updated

Jump to the 6 solved questions

Practise the most important Class 8 CBSE Mathematics questions from Chapter 8, "Fractions in Disguise". You get 9 timed quizzes of NCERT-based MCQs, with answers and explanations. The questions are split into Easy, Medium and 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. Try the 6 sample questions below: tap an option to see the answer and a worked explanation. Sign in free to start practising.

Fractions in Disguise — important questions & MCQs with answers (Class 8 Mathematics)

6 solved questions from this chapter's difficulty levels, each with its answer and explanation. Tap an option to check yourself.

0 of 6 answered

  1. Q1 of 6Easy

    25% written as a fraction in simplest form is:

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    Answer: 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'.

  2. Q2 of 6Easy

    10% of 200 is:

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    Answer: 20

    Explanation: 10% of 200 = (10/100) × 200 = 20. Don't confuse this with 10, which is only 5% of 200, not 10%.

  3. Q3 of 6Medium

    A price rises from 100 to 120. The percentage increase is:

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    Answer: 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.

  4. Q4 of 6Medium

    An article bought for ₹200 is sold for ₹250. The profit is:

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    Answer: ₹50

    Explanation: Profit = selling price − cost price = 250 − 200 = ₹50. Don't confuse the profit with the selling price itself, ₹250.

  5. Q5 of 6Hard

    Simple interest on ₹5000 at 8% per year for 3 years is:

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    Answer: ₹1200

    Explanation: Simple interest = (P × R × T)/100 = (5000 × 8 × 3)/100 = ₹1200. Forgetting to multiply by all 3 years wrongly gives ₹400, the one-year interest.

  6. Q6 of 6Hard

    A student scored 60 out of 75. In percentage this is:

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    Answer: 80%

    Explanation: (60/75) × 100 = 80%. Don't confuse this with the raw numerator's own percentage, 60%.

Fractions in Disguise notes: key concepts (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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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 9 timed quizzes of NCERT-based MCQs on "Fractions in Disguise", at Easy, Medium and Hard levels, 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. 6 sample questions are on this page with answers: tap an option, or "Show answer", to see the correct option and a step-by-step 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 6 solved important MCQs with answers and explanations. Sign in to practise this 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.

Are there question answers and extra questions for Fractions in Disguise (Class 8 Mathematics)?+

Yes. This page has 6 solved questions on Fractions in Disguise, each with the correct answer and a short explanation. Sign in to practise this chapter as timed quizzes.

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