Percentage Notes & Short Tricks for Competitive Exams
Percentage is one of the most important topics for SSC, Railway, Banking, Defence and other competitive examinations. The fastest way to solve percentage questions is to remember important fraction conversions, multiplier tricks and successive percentage formulas.
In these Percentage Notes you will learn:
- Fraction to Percentage Short Tricks
- Percentage Increase and Decrease
- Reverse Percentage
- Successive Percentage Change
- Population Short Tricks
- Expenditure Short Tricks
- Marks and Score Percentage
- Price and Consumption Tricks
- Fast Calculation Tricks
1. Most Important Fraction to Percentage Table
| Fraction | Percentage |
|---|---|
| 1/2 | 50% |
| 1/3 | 33.33% |
| 2/3 | 66.67% |
| 1/4 | 25% |
| 3/4 | 75% |
| 1/5 | 20% |
| 2/5 | 40% |
| 3/5 | 60% |
| 4/5 | 80% |
| 1/6 | 16.67% |
| 5/6 | 83.33% |
| 1/8 | 12.5% |
| 3/8 | 37.5% |
| 5/8 | 62.5% |
| 7/8 | 87.5% |
| 1/9 | 11.11% |
| 2/9 | 22.22% |
| 1/10 | 10% |
| 1/12 | 8.33% |
| 1/16 | 6.25% |
| 1/20 | 5% |
Short Trick:
Fraction × 100 = Percentage
Example:
Example:
3/8 × 100 = 37.5%
2. x% of y = y% of x Trick
Golden Percentage Trick
x% of y = y% of x
Example:
25% of 48 = 48% of 25
48% of 25 = 12
Answer = 12
48% of 25 = 12
Answer = 12
3. 10% Trick
10% निकालने का सबसे तेज तरीका
Decimal को एक जगह left shift करो.
10% of 850 = 85
10% of 4560 = 456
4. 1% Trick
Decimal को दो जगह left shift करो.
1% of 7500 = 75
5. 5% Trick
पहले 10% निकालो और उसका आधा कर दो.
5% = 10% ÷ 2
10% of 800 = 80
5% of 800 = 40
5% of 800 = 40
6. 15% Trick
15% = 10% + 5%
15% of 200
10% = 20
5% = 10
Answer = 30
10% = 20
5% = 10
Answer = 30
7. 25% Trick
25% = 1/4
बस number को 4 से divide कर दो.
25% of 360 = 360 ÷ 4 = 90
8. 50% Trick
50% = 1/2
Number का आधा.
9. 75% Trick
75% = 3/4
पहले number को 4 से divide करो और ×3 कर दो.
75% of 200
200 ÷ 4 = 50
50 × 3 = 150
200 ÷ 4 = 50
50 × 3 = 150
10. 12.5% Trick
12.5% = 1/8
12.5% of 800
800 ÷ 8 = 100
800 ÷ 8 = 100
11. 20% Trick
20% = 1/5
Number को 5 से divide करो.
12. 33.33% Trick
33.33% = 1/3
Number को 3 से divide करो.
13. 66.67% Trick
66.67% = 2/3
Number को 3 से divide करके ×2.
14. Percentage Increase Trick
New Value = Original × (100 + x) / 100
20% increase:
New Value = Original × 1.20
New Value = Original × 1.20
15. Percentage Decrease Trick
New Value = Original × (100 - x) / 100
20% decrease:
New Value = Original × 0.80
New Value = Original × 0.80
16. Increase करके Original Value निकालने की Trick
अगर किसी number में x% increase करने के बाद new value दी है:
Original = New × 100 / (100 + x)
20% increase के बाद value = 120
Original = 120 × 100 / 120
Original = 100
Original = 120 × 100 / 120
Original = 100
17. Decrease करके Original Value निकालने की Trick
Original = New × 100 / (100 - x)
20% decrease के बाद value = 80
Original = 80 × 100 / 80
Original = 100
Original = 80 × 100 / 80
Original = 100
18. Successive Increase Formula
अगर किसी value में पहले x% और फिर y% increase हो:
Net Increase = x + y + (xy/100)
10% increase और फिर 20% increase
= 10 + 20 + (10×20/100)
= 30 + 2
= 32% Increase
= 10 + 20 + (10×20/100)
= 30 + 2
= 32% Increase
19. Successive Decrease Formula
Net Decrease = x + y - (xy/100)
20% decrease और फिर 10% decrease
= 20 + 10 - 2
= 28% Decrease
= 20 + 10 - 2
= 28% Decrease
20. Increase फिर Decrease Trick
पहले x% increase और फिर y% decrease:
Net Change = x - y - (xy/100)
20% increase फिर 20% decrease
= 20 - 20 - 4
= 4% Decrease
= 20 - 20 - 4
= 4% Decrease
21. Same Percentage Increase and Decrease Trick
x% increase + x% decrease = x²/100 % decrease
20% increase और 20% decrease
20² / 100
= 4% Decrease
20² / 100
= 4% Decrease
22. Price Increase और Consumption Decrease Trick
अगर खर्च same रखना है:
Consumption Decrease = x / (100 + x) × 100
Price 25% बढ़ गया
Consumption decrease:
25/125 × 100
= 20%
Consumption decrease:
25/125 × 100
= 20%
23. Price Decrease और Consumption Increase Trick
Consumption Increase = x / (100 - x) × 100
Price 20% कम
Consumption increase:
20/80 × 100
= 25%
Consumption increase:
20/80 × 100
= 25%
24. Percentage More / Less Trick
अगर A, B से x% अधिक है:
B, A से = x / (100 + x) × 100 % कम है
A, B से 25% अधिक है
B, A से:
25/125 ×100
= 20% कम
B, A से:
25/125 ×100
= 20% कम
25. Population Increase Trick
New Population = Original × (1 + r/100)^n
जहाँ r = growth rate और n = years.
Population = 1000
10% yearly growth for 2 years
1000 × 1.1 × 1.1
= 1210
10% yearly growth for 2 years
1000 × 1.1 × 1.1
= 1210
26. Population Decrease Trick
New Population = Original × (1 - r/100)^n
27. Marks Percentage Trick
Percentage = Obtained Marks / Total Marks × 100
360 marks out of 450
360/450 ×100
= 4/5 ×100
= 80%
360/450 ×100
= 4/5 ×100
= 80%
28. Percentage Point Difference Trick
Percentage points और percentage increase अलग होते हैं.
50% से 60% जाना:
Percentage point increase = 10 points
Percentage increase = 10/50 ×100 = 20%
Percentage point increase = 10 points
Percentage increase = 10/50 ×100 = 20%
29. Fast Percentage Multiplier Table
| Percentage Change | Multiplier |
|---|---|
| 10% Increase | × 1.10 |
| 20% Increase | × 1.20 |
| 25% Increase | × 1.25 |
| 50% Increase | × 1.50 |
| 10% Decrease | × 0.90 |
| 20% Decrease | × 0.80 |
| 25% Decrease | × 0.75 |
| 50% Decrease | × 0.50 |
30. सबसे जरूरी Percentage Short Tricks Revision
- 10% = Number ÷ 10
- 5% = 10% का आधा
- 1% = Number ÷ 100
- 25% = 1/4
- 50% = 1/2
- 75% = 3/4
- 20% = 1/5
- 33.33% = 1/3
- 66.67% = 2/3
- 12.5% = 1/8
- x% of y = y% of x
- Successive Increase = x+y+xy/100
- Successive Decrease = x+y-xy/100
- Same % increase and decrease = x²/100% decrease
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Apply these short tricks in timed practice and mock tests.
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