Aptitude Topics
Percentage Basics
The word 'percent' comes from the Latin 'per centum', meaning 'by the hundred'. It is a way of expressing a number as a fraction of 100.
Fundamental Principles
Percentage
A rate, number, or amount in each hundred. Represented by the symbol %.
Fraction to Percentage Conversion
To convert a fraction to a percentage, multiply it by 100 and add the % symbol.
Essential Formulation Tips
- 10% of a number is easily found by moving the decimal point one place to the left.
- 50% is exactly half of the value, and 25% is one-quarter.
Shortcut Execution Techniques
- x% of y is always equal to y% of x. For example, finding 8% of 50 is the same as finding 50% of 8, which is easily calculated as 4.
Contextual Inquiries (FAQs)
Q: What does 100% mean?
A:
Example Breakdown: Finding a Basic Percentage
Fundamental technique used in daily life calculations.Problem QueryCalculate 20% of 150.
Step-By-Step Solution Path
Step 1: Write the percentage as a fraction over 100: 20/100
Step 2: Multiply by the number: (20 / 100) × 150
Step 3: Simplify: 0.2 × 150 = 30
Analytical Hint: Think of it as 10% of 150 (which is 15) multiplied by 2.
Percentage Basics Practice Set 1
Simple calculations checking fraction conversions and basic values.
Q1. What is 15% of 200?
Q2. Convert the fraction 3/4 into a percentage.