AI Study Pack

percentages

MathematicsCBSEClass 10

AI-generated cheatsheet with key concepts, formulas, and common mistakes — plus audio, MCQs, mind maps & more.

Percentages Cheat Sheet

Key Definitions


  • Percentage: A fraction expressed as a part of 100. ✅

  • Increase/Decrease Percentage: The change in value expressed as a percentage of the original value. ✅

Important Concepts

Calculating Percentages


  • To find a percentage of a number: Multiply the number by the percentage and divide by 100.

  • To find what percentage one number is of another: (Part/Whole) × 100.

Increase and Decrease


  • Percentage Increase: ((New Value - Original Value) / Original Value) × 100. ✅

  • Percentage Decrease: ((Original Value - New Value) / Original Value) × 100. ✅

Key Formulas


Percentage = (Part / Whole) × 100
  • Part: The portion of the total.

  • Whole: The total amount or value.

Percentage Increase = ((New - Old) / Old) × 100

  • New: Final value after increase.

  • Old: Initial value before increase.

Percentage Decrease = ((Old - New) / Old) × 100

  • New: Final value after decrease.

  • Old: Initial value before decrease.

Common Mistakes to Avoid


Common Mistake: Confusing percentage increase with percentage decrease. Always check if the value has increased or decreased.

Memory Tricks


Tip: "PERCENT" —

  • Part

  • Equal to

  • Relative to

  • Calculate

  • Express

  • Number

  • Total

Key Diagrams



Percentage Calculation:
Part
|
|----> (Part / Whole) × 100
|
Whole

This pack also includes

Audio Podcast
5-min summary
10 MCQs
Exam-pattern
Mind Map
Visual connections
Flashcards
Spaced repetition

Get the full interactive pack

Audio, MCQs, mind map, flashcards & more — free, no signup.

Open in QuickCram