AI Study Pack

percentage

PercentageCBSEClass 12

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

AI-generated

Percentage Cheat Sheet

Key Definitions


  • Percentage: A way to express a number as a fraction of 100. ✅

  • Base: The original value from which the percentage is calculated. ✅

  • Rate: The percentage value itself. ✅

Important Concepts

Finding Percentages


  • To find a percentage of a number, multiply the number by the percentage rate and divide by 100.

  • Example: To find 20% of 50, calculate 50 * 20 / 100 = 10.

Percentage Increase/Decrease


  • Increase: New Value = Original Value + (Original Value * Rate / 100) ✅

  • Decrease: New Value = Original Value - (Original Value * Rate / 100) ✅

Key Formulas


Percentage = (Part / Whole) * 100
  • Part: The portion of the whole. ✅

  • Whole: The total or original amount. ✅

New Value = Original Value ± (Original Value * Rate / 100)

  • Rate: The percentage increase or decrease. ✅

Common Mistakes to Avoid


Common Mistake: Forgetting to convert the percentage to a decimal when using it in calculations.

Memory Tricks


Tip: "PERCENT" —

  • Part

  • Equal to

  • Rate

  • Calculate

  • Express

  • New value

  • Total

Key Diagrams



+---------+
| 100% |
| |
| 50% |---------> 50% of 100
| |
| 25% |---------> 25% of 100
+---------+

This pack also includes

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

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