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
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