What's the best way to master Percentage Calculation Problems quickly?

Master Percentage Calculation Problems by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Percentage Calculation

Percentage Calculation problems involve finding a percentage of a given number, finding what percentage one number is of another, or calculating percentage increase/decrease. These problems are fundamental to quantitative aptitude.

10Worksheets

200+Practice Questions

BeginnerDifficulty

2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks

Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Percentage Calculation

Prerequisites

Percentage concept (per cent = per hundred) Fraction to percentage conversion Basic arithmetic Multiplication and division

Why This Matters: Percentage problems appear extensively in competitive exams. You can expect 3-4 questions in SSC CGL, 3-4 in Banking PO, and 3-4 in Railways RRB exams.

How to Solve Percentage Calculation Problems

Step 1: Identify what is being asked (percentage of a number, percentage increase, etc.)

Step 2: Convert percentage to fraction (divide by 100) or decimal

Step 3: For 'p% of X': Multiply X by p/100

Step 4: For 'what percent of X is Y': (Y/X) × 100%

Step 5: For percentage increase: [(New - Old)/Old] × 100%

Step 6: For percentage decrease: [(Old - New)/Old] × 100%

Step 7: Simplify the result to required decimal places

Pro Strategy: Memorize common percentage-fraction conversions (25%=1/4, 20%=1/5, 33.33%=1/3, 50%=1/2, 75%=3/4, etc.). Use these to calculate quickly.

Example Problem

Example 1: What is 25% of 240? Solution: Step 1: 25% = 25/100 = 1/4 Step 2: 240 × 1/4 = 60 Answer: 60 Example 2: 36 is what percent of 144? Solution: Step 1: (36/144) × 100% = (1/4) × 100% = 25% Answer: 25%

Pro Tips & Tricks

10% of a number = move decimal one place left
1% of a number = move decimal two places left
5% = 10%/2, 20% = 10%×2, 50% = half
For percentage increase: New = Old × (1 + p/100)
For percentage decrease: New = Old × (1 - p/100)
To find p% of X: multiply X by p and divide by 100

Shortcut Methods to Solve Faster

p% of X = X% of p (commutative property)

X% of Y = (X × Y)/100

Successive percentage change: a% + b% + (a×b)/100%

If price increases by p%, new price = Old × (100+p)/100

Common Mistakes to Avoid

Confusing percentage increase with percentage of

Using wrong base for percentage calculation

Not converting percentage to decimal/fraction before multiplying

Forgetting to multiply by 100 when converting fraction to percentage

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Percentage Calculation. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems