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Class 8 Mathematics — Chapter 7: Comparing Quantities

72 practice questions · 24 Easy · 24 Medium · 24 Hard

Practise Class 8 Mathematics Chapter 7, "Comparing Quantities", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.

"Comparing Quantities" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.

Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Comparing Quantities, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.

Key concepts: Comparing Quantities (Class 8 Mathematics)

This chapter covers percentages, profit and loss, discount, taxes, and simple and compound interest.

Percentage
A ratio expressed out of 100; used to compare quantities and express increase or decrease.
Profit, loss & discount
Profit/loss is found on the cost price; discount is a reduction on the marked price.
Sales tax / VAT / GST
A tax added to the selling price, calculated as a percentage of it.
Simple interest
Interest calculated only on the original principal: SI = PRT/100.
Compound interest
Interest on the principal plus accumulated interest; the amount grows by A = P(1 + R/100)ⁿ.

Key formulas — Comparing Quantities

Simple interest
SI = (P × R × T) / 100
Compound amount
A = P(1 + R/100)ⁿ
Profit %
Profit% = (Profit / CP) × 100

💡 Exam tips for Comparing Quantities

  • Profit and loss percentages are always calculated on the cost price (CP), not the selling price.
  • For half-yearly compounding, halve the rate and double the number of periods.

Sample questions

Q1Easy

20% of 200:

A.100
B.20
C.40✓ correct
D.50
Why

0.20 × 200 = 40.

Q2Medium

CI on ₹1000 at 10% p.a. for 2 years compounded annually:

A.₹210✓ correct
B.₹200
C.₹100
D.₹300
Why

Amount = 1000(1.1)² = 1210; CI = 210.

Q3Hard

CP ₹400, SP ₹500. Profit %:

A.30%
B.20%
C.25%✓ correct
D.10%
Why

Profit = 100; %=100/400×100=25.

Comparing Quantities — FAQs

What are the key concepts in Class 8 Mathematics Comparing Quantities?+

This chapter covers percentages, profit and loss, discount, taxes, and simple and compound interest. Key ideas include Percentage, Profit, loss & discount, Sales tax / VAT / GST, Simple interest, Compound interest.

What does Class 8 Mathematics Chapter 7 (Comparing Quantities) cover on XamBaaz?+

It covers 72 NCERT-aligned MCQs on "Comparing Quantities" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.

Are these "Comparing Quantities" questions free to practise?+

Yes — sign in with Google to practise "Comparing Quantities" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.

How should I revise "Comparing Quantities" for the exam?+

Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.

Practise all 72 questions free

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