Class 8 · Chapter 7

Proportional Reasoning-1

Ratio, proportion, unitary method, and direct variation.

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Ganita Prakash · Class 8 Part 1 (2026-27)
Tip: NCERT updated the syllabus for 2026-27. The links above open the latest edition on the official portal — chapter titles and numbering may differ from the notes shown here.
Detailed theory
Reduce to simplest form: 12:18→2:312:18 \to 2:3. Same units on both sides. Compare via cross-multiplication.
Key concepts & formulas
01
**Ratio** a:ba:b compares two like quantities.
02
**Proportion**: two ratios equal — a:b=c:da:b = c:d iff ad=bcad=bc.
03
**Unitary method**: find value of one unit, then scale.
04
**Direct variation**: y∝xy \propto x, i.e., y=kxy = kx.
05
Percentage = ratio with denominator 100.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026