Class 7 · Chapter 8

Comparing Quantities

Percentages, profit and loss, simple interest.

Read the full chapter
Tip: open the NCERT PDF for the original chapter text alongside the notes here.
Detailed theory
x%x\% means x/100x/100. To find p%p\% of a value: multiply by p/100p/100. Percentages compare on a per-100 basis, making comparison easy.
Key concepts & formulas
01
Percentage means 'per hundred': x%=x100x\% = \dfrac{x}{100}.
02
Profit%=ProfitCP×100\text{Profit\%} = \dfrac{\text{Profit}}{\text{CP}} \times 100.
03
Loss%=LossCP×100\text{Loss\%} = \dfrac{\text{Loss}}{\text{CP}} \times 100.
04
SI=PRT100SI = \dfrac{P\cdot R\cdot T}{100}.
05
Amount =P+SI= P + SI.
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026