Unitary Method

JCERT · Class 7 · Chapter 7 · Unitary Method. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

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Why This Chapter Matters

JCERT · Class 7 · Chapter 7 · Unitary Method. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

Before You Begin (Prerequisites)

Revise relevant arithmetic and ideas from the previous grade.

What You Will Learn (Core Objectives)

The unitary method first finds the value of one unit, then the value of the required number of units. Direct scaling of price assumes a constant price per item.

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 7 · Chapter 7 — Unitary Method
Official syllabus pages 111–114. Official syllabus · Prescribed Hindi book (22 chapters) · Separate supplementary reference.

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

Source issue: this chapter’s original DIKSHA PDF is damaged. The collection and a separate reference book are available; reference pagination and questions must not be treated as identical to the prescribed chapter.

Concept and method

The unitary method first finds the value of one unit, then the value of the required number of units. Direct scaling of price assumes a constant price per item.

Check and common pitfall

One notebook costs ₹15; the rate must stay unchanged.

Key Formulas, Identities & Theorems

Key relationships

एक इकाई का मूल्य = कुल मूल्य ÷ इकाइयाँ; value of n units = n × unit value

Observe the stated conditions and units.

Conceptual Solved Examples & Case Studies

Example 1

Five notebooks cost ₹75. Find the price of eight at the same rate.

Step-by-Step Solution:

75 ÷ 5 = 15; 8 × 15 = ₹120

One notebook costs ₹15; the rate must stay unchanged.

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