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
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