Comparing Quantities

JCERT · Class 8 · Chapter 9 · Comparing Quantities. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

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Why This Chapter Matters

JCERT · Class 8 · Chapter 9 · Comparing Quantities. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

Before You Begin (Prerequisites)

Revise the relevant ideas from the previous grade.

What You Will Learn (Core Objectives)

Use ratios and percentages for changes, discounts and profit or loss. Profit/loss percentages use cost price; discounts use marked price. Apply a stated tax rate to the taxable amount. Compound interest adds interest to the principal for the next period.

Chapter Roadmap & Progression

1 Syllabus, textbook and notes alignm...

2 Concept and method

3 Check and common pitfall

Complete Concept Guide (100% Curriculum Coverage)

Syllabus, textbook and notes alignment

JCERT · Regular schools (Non-SOE) · Class 8 · Chapter 9 — Comparing Quantities
Official syllabus pages 130–151. Official syllabus · Prescribed Hindi book (17 chapters).

These topic notes and teaching examples are not a complete answer key to every textbook exercise. English notes use this same JCERT chapter order; a matching English textbook PDF has not been verified.

Official Hindi PDF for this exact chapter

Concept and method

Use ratios and percentages for changes, discounts and profit or loss. Profit/loss percentages use cost price; discounts use marked price. Apply a stated tax rate to the taxable amount. Compound interest adds interest to the principal for the next period.

Check and common pitfall

Use the rate given in the question; the example does not assert a current tax or bank rate.

Key Formulas, Identities & Theorems

Key relationships

$$A=P(1+r/100)^n; CI=A−P (annual compounding)$$

Observe formula conditions and units.

Conceptual Solved Examples & Case Studies

Example 1

Find compound interest on₹10000 at10% per annum for2years, compounded annually.

Step-by-Step Solution:

A=10000×1.1²=₹12100; CI=₹2100

Use the rate given in the question; the example does not assert a current tax or bank rate.

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