Bank Exam Practice Material Series Page 14 | Mixture & Alligation Practice Set with Answers & Shortcut Tricks

 

 Bank Exam Practice Material Series – Page 14

Mixture & Alligation Practice Set with Answers & Shortcut Tricks

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Learn Mixture & Alligation shortcut tricks, weighted average methods, ratio concepts, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Mixture & Alligation in Bank Exams

Mixture & Alligation is one of the most important arithmetic topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams

This section tests:

• Ratio concepts
• Percentage calculations
• Logical reasoning
• Fast arithmetic ability

🎯 Important Mixture Concepts

Questions are mainly based on:

• Mixing two quantities
• Price mixing
• Ratio comparison
• Replacement concepts
• Weighted averages
• Alligation method

 Alligation Formula

0

 Average Formula

1

 Shortcut Tricks

Concept	Shortcut
Mixture ratio	Use alligation directly
Average price	Total value ÷ Quantity
Replacement	Quantity remains same
Higher mean	Closer to higher value
Lower mean	Closer to lower value

 Practice Questions

Q1. Rice worth ₹40/kg and ₹60/kg are mixed to get mixture worth ₹50/kg. Find ratio.

Solution:

Difference method:

60 − 50 = 10

50 − 40 = 10

✅ Answer = 1 : 1

Q2. Milk and water are mixed in ratio 3:2. Find water percentage.

Solution:

Total parts = 5

Water = 2

2

✅ Answer = 40%

Q3. Tea worth ₹80/kg and ₹100/kg are mixed equally. Find mean price.

Solution:

(80 + 100) ÷ 2

✅ Answer = ₹90/kg

Q4. A 20-liter mixture contains milk and water in ratio 4:1. Find water quantity.

Solution:

Total parts = 5

20 ÷ 5 = 4

Water = 4 × 1

✅ Answer = 4 liters

Q5. Two varieties priced ₹30 and ₹50 are mixed to get ₹40 mixture. Find ratio.

Solution:

50 − 40 = 10

40 − 30 = 10

✅ Answer = 1 : 1

Q6. A mixture contains 60% milk in 50 liters. Find milk quantity.

Solution:

3

✅ Answer = 30 liters

Q7. Sugar worth ₹20/kg and ₹30/kg are mixed in ratio 2:3. Find average price.

Solution:

(20×2 + 30×3) ÷ 5

✅ Answer = ₹26/kg

Q8. Water added to milk reduces purity. What happens to milk percentage?

Solution:

Milk percentage decreases

✅ Answer = Decrease

Q9. A 40-liter mixture has water and milk in ratio 1:3. Find milk quantity.

Solution:

Total parts = 4

40 ÷ 4 = 10

Milk = 10 × 3

✅ Answer = 30 liters

Q10. Equal quantities of ₹25/kg and ₹35/kg are mixed. Find average price.

Solution:

(25 + 35) ÷ 2

✅ Answer = ₹30/kg

 Observation Tricks

• Use difference method quickly
• Simplify ratios mentally
• Use weighted average logic
• Practice percentage conversion daily

Important Mixture & Alligation Formulas

Topic	Formula
Alligation	Difference Method
Average Price	Total Value/Quantity
Percentage	Part/Whole ×100
Ratio	Simplify values
Mean Value	Weighted Average

🎯 Daily Practice Strategy

• Practice alligation problems
• Practice percentage mixtures
• Revise ratio simplification
• Practice weighted averages
• Solve milk & water problems

This improves:

• Arithmetic reasoning
• Calculation accuracy
• Competitive exam confidence

“Strong Mixture Concepts Make Arithmetic Calculations Faster and Smarter.”

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Bank Exam Practice Material Series