Bank Exam Practice Material Series – Page 14
Mixture & Alligation Tricks, Speed Maths & Important Concepts
Learn Mixture & Alligation shortcut tricks, ratio methods, replacement concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.
Importance of Mixture & Alligation
Mixture & Alligation is one of the most important arithmetic topics in competitive exams. This topic helps students improve:
- Ratio calculations
- Logical reasoning
- Percentage analysis
- Problem-solving speed
- Numerical accuracy
Important Mixture & Alligation Concepts
- Basic Mixture Concept
- Alligation Rule
- Replacement Method
- Ratio Comparison
- Cost Price Mixing
- Percentage Mixing
Alligation Formula
Mixture Formula
Speed Tricks for Mixture & Alligation
Basic Alligation Trick
Milk price = 40 per litre
Water price = 0
Mean price = 30
Ratio:
(40 − 30) : (30 − 0)
10 : 30
Answer = 1 : 3
Replacement Trick
A vessel contains 100 litres milk.
20 litres removed and replaced with water.
Remaining milk:
2Answer = 80 litres
Mean Value Trick
Two mixtures:
- 20 litres at 50 per litre
- 30 litres at 70 per litre
Total Cost:
(20 × 50) + (30 × 70)
1000 + 2100 = 3100
Mean Price:
3100 ÷ 50
Answer = 62 per litre
Important Fraction & Percentage Values
| Fraction | Percentage | Decimal | Ratio |
|---|---|---|---|
| 1/2 | 50% | 0.5 | 1 : 2 |
| 1/4 | 25% | 0.25 | 1 : 4 |
| 3/4 | 75% | 0.75 | 3 : 4 |
| 2/5 | 40% | 0.4 | 2 : 5 |
Practice Questions
Question 1
A mixture contains milk and water in ratio 4 : 1.
Find percentage of water.
Total ratio = 5
(1/5) × 100
Answer = 20%
Question 2
Two liquids priced at 40 and 60 are mixed.
Mean price = 50
Find ratio.
(60 − 50) : (50 − 40)
Answer = 1 : 1
Question 3
A vessel contains 200 litres milk.
50 litres removed.
Find remaining milk.
200 − 50
Answer = 150 litres
Question 4
Two varieties priced at 80 and 100 are mixed.
Mean price = 90
Find ratio.
10 : 10
Answer = 1 : 1
Question 5
Find mean price:
- 10 litres at 40 per litre
- 20 litres at 50 per litre
Total cost:
400 + 1000 = 1400
1400 ÷ 30
Answer = 46.67 per litre
Important Exam Tips
- Practice alligation shortcut methods regularly
- Memorize percentage conversions carefully
- Improve multiplication and division speed
- Use ratio simplification tricks
- Focus on both speed and accuracy
Fast Formula Revision
| Topic | Formula |
|---|---|
| Alligation Ratio | Difference Method |
| Mean Price | Total Cost / Total Quantity |
| Replacement | Remaining Quantity Method |
| Mixture Ratio | Lower Difference : Higher Difference |
| Percentage | (Part / Total) × 100 |
Daily Practice Strategy
- Practice 20 Mixture & Alligation questions daily
- Revise ratio concepts regularly
- Improve percentage calculations
- Practice shortcut solving methods
- Focus equally on speed and accuracy
Bank Exam Practice Material Series
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