Bank Exam Practice Material Series – Page 9
Ratio & Proportion Tricks, Speed Maths & Important Concepts
Learn Ratio & Proportion shortcut tricks, comparison methods, partnership concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.
Importance of Ratio & Proportion
Ratio & Proportion is one of the most important arithmetic topics in competitive exams. This topic helps students improve:
- Comparison ability
- Logical reasoning
- Problem-solving speed
- Numerical calculations
- Analytical thinking
Important Ratio & Proportion Concepts
- Simplification of Ratios
- Equivalent Ratios
- Direct Proportion
- Inverse Proportion
- Partnership Ratio
- Distribution Based Problems
Basic Ratio Formula
Proportion Formula
Speed Tricks for Ratio & Proportion
Ratio Simplification Trick
Simplify:
20 : 30
Divide both terms by 10
Answer = 2 : 3
Equivalent Ratio Trick
Find equivalent ratio of:
2 : 5
Multiply both terms by 2
Answer = 4 : 10
Distribution Trick
Divide 600 in the ratio 2 : 3
Total ratio = 2 + 3 = 5
First part:
(2/5) × 600 = 240
Second part:
(3/5) × 600 = 360
Important Fraction & Ratio Values
| Fraction | Ratio | Percentage | Decimal |
|---|---|---|---|
| 1/2 | 1 : 2 | 50% | 0.5 |
| 1/4 | 1 : 4 | 25% | 0.25 |
| 3/4 | 3 : 4 | 75% | 0.75 |
| 2/5 | 2 : 5 | 40% | 0.4 |
Practice Questions
Question 1
Simplify:
45 : 60
Divide by 15
Answer = 3 : 4
Question 2
Find equivalent ratio of:
5 : 7
Multiply by 2
Answer = 10 : 14
Question 3
Divide 900 in the ratio 4 : 5
Total ratio = 9
First part:
(4/9) × 900 = 400
Second part:
(5/9) × 900 = 500
Question 4
If A : B = 2 : 3 and B : C = 4 : 5, find A : B : C
Answer = 8 : 12 : 15
Question 5
Convert 0.75 into ratio form.
0.75 = 75/100
Simplify:
Answer = 3 : 4
Important Exam Tips
- Practice ratio simplification daily
- Memorize fraction-percentage conversions
- Improve multiplication speed
- Use shortcut distribution methods
- Focus on logical comparison techniques
Fast Formula Revision
| Topic | Formula |
|---|---|
| Ratio | a : b |
| Proportion | a:b::c:d |
| Distribution | (Part / Total Ratio) × Total Value |
| Equivalent Ratio | Multiply both terms equally |
| Simplification | Divide by common factor |
Daily Practice Strategy
- Practice 20 Ratio & Proportion questions daily
- Revise fractions and percentages regularly
- Practice distribution problems carefully
- Improve logical comparison skills
- Focus on both speed and accuracy
Bank Exam Practice Material Series
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