📋 What's inside this article?
- What is Percentage? – Real-life understanding
- All essential formulas (Card style)
- Shortcut tricks used by toppers
- PYQ questions with step-by-step solutions
- Pattern recognition – identify question type in 5 seconds
- Common mistakes made by 80% of students
- Exam strategy & attempt order
- Practice set (10 questions)
🎯 What is Percentage? – Simplest Explanation
Percentage means "per hundred". When we say "I scored 60%", it means 60 out of 100.
Let’s take a real-life example:
🏪 Example: A shop has 500 items. 150 items were sold. What percentage of items were sold?
Percentage = (150 ÷ 500) × 100 = 30%
That means – out of every 100 items, 30 were sold. Simple!
In SSC CGL, percentage is not always this straightforward. The exam presents 4–5 different types of questions – each with its own pattern. Let's go through them one by one.
📊 Types of Percentage Questions in SSC CGL
What percent is X of Y?
By what % did a value change?
Two or more percentage changes in a row
Votes, margins, turnout
Salary, savings, spending
📐 Percentage Formulas – All in One Place
Memorize these essential formulas – they appear repeatedly in SSC CGL. Master them, and no question will stop you.
⚡ Shortcut Tricks – Topper’s Secrets
🏆 Topper Advantage: While most students rely on formulas, toppers use these shortcuts to solve the same question in 15 seconds. That’s the real edge!
⚡ Trick 1: Fraction ↔ Percentage Conversion
Memorize this table – it will save you 60% of your time in the exam.
| Fraction | % | Fraction | % |
|---|---|---|---|
| 1/2 | 50% | 1/3 | 33.33% |
| 1/4 | 25% | 1/5 | 20% |
| 1/6 | 16.67% | 1/7 | 14.28% |
| 1/8 | 12.5% | 1/9 | 11.11% |
| 1/10 | 10% | 1/11 | 9.09% |
💡 How to use: "75% of 240" → 75% = 3/4 → (3/4)×240 = 180. Calculator speed!
⚡ Trick 2: 10% Rule – Fastest Method
To find 10% of any number, just shift the decimal left once.
20% of 850 = 85×2 = 170
5% of 850 = 85÷2 = 42.5
15% of 850 = 85+42.5 = 127.5
🎯 This single trick gives you 10%,20%,5%,15%,25% at lightning speed!
⚡ Trick 3: Reverse Percentage – The Most Common Trap
🧠 Remember: Reverse % is always calculated on the original value, NOT the new value!
⚡ Trick 4: Successive % – Net Effect Formula
📝 PYQ – Real Exam Questions with Solutions
These questions are taken directly from SSC CGL past papers. Study each one carefully – the patterns will become clear.
🔍 Pattern Recognition – Identify the Type in 5 Seconds
As soon as you read a question, classify it into one of these buckets. This is the real skill of a topper.
🚨 Common Mistakes – Don’t Lose Marks Here
- ❌ Reverse % with wrong base: 20% increase → ₹120, students take 20% of 120 and subtract. WRONG. Correct: 120÷1.2 = 100.
- ❌ Adding successive % directly: 10%+10% ≠20%, actually 21%.
- ❌ "X% more than" vs "X% of": "A is 20% more than B" means A = 1.2×B, not 0.2×B.
- ❌ Forgetting base for % change: % change always uses OLD value as denominator.
- ❌ Election problems – confusing total enrolled vs votes cast.
🎯 Exam Strategy – Save Time, Boost Score
Basic %: 30-40 sec, Increase/Decrease: 45 sec, Election: 60-90 sec, Successive: 30 sec.
1. Basic % → 2. Fraction conversion → 3. Increase/Decrease → 4. Election/complex last.
Use options to reverse-check, round numbers, and keep fraction table in memory.
💪 Practice Set – Try Yourself!
Solve these 10 questions without looking at solutions. Track your time and accuracy.
- What is 35% of 420?
- 40% of a number is 160. Find 75% of that number.
- Salary increased from ₹8,000 to ₹10,000. % increase?
- A TV price increases by 10% then decreases by 10%. Net change?
- In a class, 40% are boys. If there are 24 boys, total students?
- After a 25% discount, an item sells for ₹450. Original price?
- Two successive discounts of 15% and 20% – total discount %?
- Winner gets 55% votes and wins by 8400 votes. Total votes?
- 30% of income saved = ₹3600. Total income?
- A is 25% more than B. B is what % less than A?
10/10 → Topper Zone 🏆
7-9 → Exam Ready 💪
4-6 → Revise once more 📚
0-3 → Start again from formulas 💡
❓ Frequently Asked Questions (FAQ)
Typically 3-5 questions (6-10 marks) in Tier 1 and 2-3 questions in Tier 2.
Use the fraction conversion table (e.g., 1/4=25%, 1/5=20%) and the 10% rule.
Use Original = New × 100 / (100 ± %). Or simply divide New by (1 + %/100).
Yes – Profit/Loss, Data Interpretation, SI/CI, and Ratio all heavily use percentage concepts.
No. It’s a scoring topic with high weightage. Mastering it guarantees 6-10 easy marks.
📚 Related Resources – Go Deeper
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