Class 8 · Chapter 10

Proportional Reasoning-2

Inverse variation, compound proportion, time-and-work.

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Ganita Prakash · Class 8 Part 2 (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
More workers → less time. Faster speed → less time. Product of quantities is constant.
Key concepts & formulas
01
**Inverse variation**: y∝1/xy \propto 1/x; xy=kxy = k.
02
**Compound proportion**: multiple ratios combined.
03
Time-and-work: if AA finishes in aa days, rate is 1/a1/a per day.
04
Combined rate: 1/a+1/b1/a + 1/b per day (when both work together).
05
Total time = ab/(a+b)ab/(a+b) (for two workers).
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026