Problem Solving and Logical Thinking Practice
Percentage – Shortcut Tricks & Tough Problems
Percentage is one of the most important and scoring topics in bank exams. Master shortcuts to save time.
1. Basic Concept
Percentage means per hundred.
Key Conversions:
- 50% = 1/2
- 25% = 1/4
- 75% = 3/4
- 20% = 1/5
- 10% = 1/10
2. Fast Calculation Trick
Example:
25% of 480
= 480 ÷ 4 = 120
Example:
10% of 350 = 35
5% = half of 10% = 17.5
3. Percentage Increase/Decrease
Formula:
Increase % = (Increase / Original) × 100
Example:
Price increases from 200 to 250
Increase = 50
% Increase = (50/200) × 100 = 25%
4. Successive Percentage
Formula:
a + b + (ab/100)
Example:
Increase 20% then 10%
= 20 + 10 + (20×10)/100 = 32%
Tough Problems
Q1:
What is 40% of 250?
Solution:
40% = 4/10
= 250 × 4/10 = 100
Q2:
A number increases by 20% and then decreases by 20%. Find net change.
Solution:
= 20 - 20 - (20×20)/100
= -4%
Net decrease = 4%
Q3:
If salary increases from 5000 to 6000, find percentage increase.
Solution:
Increase = 1000
= (1000/5000) × 100 = 20%
Exam Strategy
- Convert percentages into fractions quickly
- Use mental math for speed
- Apply successive formula directly
- Avoid long multiplication
Quantitative Aptitude • Bank Exams • Competitive Preparation
Focused Study for Competitive Exams
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