AI Study Pack

percentage

MathematicsCBSEClass 10

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

Percentage Cheat Sheet

Key Definitions


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

  • Base: The original quantity before the percentage is applied.

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

Important Concepts

Calculating Percentage


  • To find a percentage, multiply the base by the percentage and divide by 100.

  • To find the percentage of a number: Percentage of a number = (Part/Whole) × 100

Increase and Decrease


  • Percentage Increase:

  • Formula: ((New Value - Old Value) / Old Value) × 100

  • Percentage Decrease:

  • Formula: ((Old Value - New Value) / Old Value) × 100

Key Formulas


Percentage = (Part / Whole) × 100
Percentage Increase = ((New - Old) / Old) × 100
Percentage Decrease = ((Old - New) / Old) × 100

Common Mistakes to Avoid


Common Mistake: Confusing the base when calculating percentages. Always ensure the base is correct.

Memory Tricks


Tip: "PERCENT" —

  • Part = the part of the whole

  • Equal to the total

  • Rate = the percentage

  • Calculate using Part/Whole × 100

  • Evaluate increase/decrease

  • Note the base

  • Track changes

Key Diagrams



Percentage Calculation:
+-----------+
| Base |
+-----------+
|
| (Percentage)
v
+-----------+
| Part |
+-----------+

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