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

Shaktimatha Learning – Bank Exam Practice Hub
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

Bank Exam Practice Material Series Page 13 | Partnership Practice Set with Answers & Shortcut Tricks

 

Bank Exam Practice Material Series – Page 13

Partnership Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Partnership shortcut tricks, profit sharing methods, investment ratio concepts, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Partnership in Bank Exams

Partnership is one of the important arithmetic topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams

This section tests:

• Ratio concepts
• Profit sharing methods
• Time-based calculations
• Logical reasoning ability

🎯 Important Partnership Concepts

Questions are mainly based on:

• Investment ratio
• Time ratio
• Profit sharing
• Partnership distribution
• Combined investments
• Capital comparison

 Partnership Formula

0

 Profit Distribution Formula

1

 Shortcut Tricks

Concept	Shortcut
Equal time	Ratio = Investment ratio
Equal investment	Ratio = Time ratio
Profit share	Capital × Time
Partnership ratio	Simplify quickly
Total profit	Divide by total ratio

 Practice Questions

Q1. A invests ₹5000 and B invests ₹3000. Find ratio.

Solution:

5000 : 3000

5 : 3

✅ Answer = 5 : 3

Q2. A invests ₹4000 for 12 months and B invests ₹6000 for 6 months. Find ratio.

Solution:

A = 4000 × 12 = 48000

B = 6000 × 6 = 36000

48000 : 36000

4 : 3

✅ Answer = 4 : 3

Q3. Profit = ₹7000. Ratio = 5:2. Find larger share.

Solution:

Total ratio = 7

7000 ÷ 7 = 1000

5 × 1000

✅ Answer = ₹5000

Q4. A and B invest in ratio 3:5. Profit = ₹1600. Find B’s share.

Solution:

Total ratio = 8

1600 ÷ 8 = 200

5 × 200

✅ Answer = ₹1000

Q5. A invests ₹2000 for 10 months. B invests ₹4000 for 5 months. Find ratio.

Solution:

2000 × 10 = 20000

4000 × 5 = 20000

✅ Answer = 1 : 1

Q6. Three partners share profit in ratio 2:3:5. Profit = ₹10000. Find smallest share.

Solution:

Total ratio = 10

10000 ÷ 10 = 1000

2 × 1000

✅ Answer = ₹2000

Q7. A invests ₹8000 and B invests ₹12000. Find investment ratio.

Solution:

8000 : 12000

2 : 3

✅ Answer = 2 : 3

Q8. Profit ratio depends on?

Solution:

Capital × Time

✅ Answer = Investment and Time

Q9. A and B share profit in ratio 7:8. Profit = ₹3000. Find B’s share.

Solution:

Total ratio = 15

3000 ÷ 15 = 200

8 × 200

✅ Answer = ₹1600

Q10. Equal investment for equal time gives what ratio?

Solution:

Equal shares

✅ Answer = 1 : 1

 Observation Tricks

• Multiply capital with time directly
• Simplify large ratios quickly
• Use total ratio method
• Practice profit distribution daily

 Important Partnership Formulas

Topic	Formula
Partnership Ratio	Capital × Time
Profit Share	Ratio/Total × Profit
Equal Time	Investment Ratio
Equal Investment	Time Ratio
Total Share	Sum of ratios

🎯 Daily Practice Strategy

• Practice partnership ratio questions
• Practice profit distribution problems
• Revise investment comparisons
• Practice time-based calculations
• Practice ratio simplification

This improves:

• Arithmetic reasoning
• Calculation speed
• Competitive exam confidence

“Strong Partnership Concepts Make Profit-Sharing Questions Easy and Scoring.”

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 12 | Compound Interest Practice Set with Answers & Shortcut Tricks

 

 Bank Exam Practice Material Series – Page 12

Compound Interest Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Compound Interest shortcut tricks, percentage growth methods, annual compounding concepts, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Compound Interest in Bank Exams

Compound Interest is one of the most important arithmetic topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams

This section tests:

• Financial mathematics
• Percentage application
• Formula usage
• Logical calculations

🎯 Important Compound Interest Concepts

Questions are mainly based on:

• Principal amount
• Rate of interest
• Compound amount
• Difference between SI & CI
• Annual compounding
• Growth calculations

 Compound Interest Formula

0

 Compound Interest Formula

1

 Shortcut Tricks

Concept	Shortcut
CI	Amount − Principal
10% increase	Multiply by 1.10
20% increase	Multiply by 1.20
Two years CI	Use square method
Growth	Multiply yearly

 Practice Questions

Q1. Find amount on ₹1000 at 10% for 2 years compounded annually.

Solution:

2

1000 × 1.1 × 1.1

✅ Answer = ₹1210

Q2. Find CI if Principal = ₹2000 and Amount = ₹2420.

Solution:

2420 − 2000

✅ Answer = ₹420

Q3. Find amount on ₹5000 at 20% for 1 year.

Solution:

5000 × 1.2

✅ Answer = ₹6000

Q4. Find CI on ₹1000 at 10% for 2 years.

Solution:

Amount = 1210

CI = 1210 − 1000

✅ Answer = ₹210

Q5. Find amount on ₹3000 at 5% for 2 years.

Solution:

3000 × 1.05 × 1.05

✅ Answer = ₹3307.5

Q6. Find CI if Principal = ₹4000 and Amount = ₹4840.

Solution:

4840 − 4000

✅ Answer = ₹840

Q7. Find amount on ₹2000 at 10% for 3 years.

Solution:

2000 × 1.1 × 1.1 × 1.1

✅ Answer = ₹2662

Q8. Find CI on ₹1500 at 20% for 2 years.

Solution:

Amount = 2160

CI = 2160 − 1500

✅ Answer = ₹660

Q9. Find amount on ₹2500 at 8% for 2 years.

Solution:

2500 × 1.08 × 1.08

✅ Answer = ₹2916

Q10. Difference between Amount and Principal is called?

Solution:

Amount − Principal

✅ Answer = Compound Interest

Observation Tricks

• Convert percentage into multiplier
• Use yearly multiplication
• Memorize common squares
• Practice fast percentage calculations

Important Compound Interest Formulas

Topic	Formula
Amount	P(1+R/100)^n
CI	Amount − Principal
Growth	Multiply yearly
10% increase	×1.10
20% increase	×1.20

🎯 Daily Practice Strategy

• Practice compound amount calculations
• Practice CI vs SI comparison
• Revise percentage growth problems
• Practice annual compounding questions
• Use financial arithmetic shortcuts

This improves:

• Formula application
• Financial maths speed
• Competitive exam confidence

“Compound Interest Becomes Easy When Percentage Growth Concepts Are Practiced Daily.”

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 11 | Simple Interest Practice Set with Answers & Shortcut Tricks

 

 Bank Exam Practice Material Series – Page 11

Simple Interest Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Simple Interest shortcut tricks, financial arithmetic methods, percentage calculations, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Simple Interest in Bank Exams

Simple Interest is one of the most important arithmetic topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams

This section tests:

• Percentage calculations
• Formula application
• Financial mathematics
• Problem-solving speed

🎯 Important Simple Interest Concepts

Questions are mainly based on:

• Principal amount
• Rate of interest
• Time period
• Interest calculation
• Amount calculation
• Percentage conversion

 Simple Interest Formula

0

 Amount Formula

1

 Shortcut Tricks

Concept	Shortcut
10% interest	Divide principal by 10
1 year SI	P × R /100
Amount	Principal + SI
Percentage	Convert quickly
Time	Use yearly basis

 Practice Questions

Q1. Find simple interest on ₹1000 at 10% for 2 years.

Solution:

2

✅ Answer = ₹200

Q2. Find amount if principal = ₹5000 and SI = ₹1000.

Solution:

5000 + 1000

✅ Answer = ₹6000

Q3. Find SI on ₹2000 at 5% for 3 years.

Solution:

2000 × 5 × 3 ÷ 100

✅ Answer = ₹300

Q4. Find rate if SI = ₹400, Principal = ₹2000, Time = 2 years.

Solution:

3

400 × 100 ÷ (2000 × 2)

✅ Answer = 10%

Q5. Find time if SI = ₹600, Principal = ₹3000, Rate = 10%.

Solution:

4

600 × 100 ÷ (3000 × 10)

✅ Answer = 2 years

Q6. Find amount on ₹4000 at 5% for 2 years.

Solution:

SI = 400

Amount = 4000 + 400

✅ Answer = ₹4400

Q7. Find SI on ₹1500 at 8% for 5 years.

Solution:

1500 × 8 × 5 ÷ 100

✅ Answer = ₹600

Q8. Principal = ₹2500, Amount = ₹3000. Find SI.

Solution:

3000 − 2500

✅ Answer = ₹500

Q9. Find SI on ₹1200 at 15% for 2 years.

Solution:

1200 × 15 × 2 ÷ 100

✅ Answer = ₹360

Q10. Find amount if Principal = ₹6000 and SI = ₹900.

Solution:

6000 + 900

✅ Answer = ₹6900

 Observation Tricks

• Memorize SI formula
• Simplify percentage calculations
• Use direct substitution
• Practice multiplication shortcuts

 Important Simple Interest Formulas

Topic	Formula
SI	P×R×T/100
Amount	P + SI
Rate	SI×100 / P×T
Time	SI×100 / P×R
Principal	SI×100 / R×T

🎯 Daily Practice Strategy

• Practice SI calculations
• Practice rate finding problems
• Revise time calculation questions
• Practice amount-based problems
• Practice percentage conversions

This improves:

• Financial arithmetic skills
• Formula application
• Competitive exam confidence

“Strong Formula Practice Makes Simple Interest Questions Quick and Easy.”

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 10 | Average Practice Set with Answers & Shortcut Tricks

 

 Bank Exam Practice Material Series – Page 10

Average Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Average shortcut tricks, missing value methods, combined averages, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Average in Bank Exams

Average is one of the most important arithmetic topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams

This section tests:

• Numerical ability
• Fast calculations
• Logical reasoning
• Data interpretation skills

🎯 Important Average Concepts

Questions are mainly based on:

• Basic average
• Weighted average
• Missing value
• Average age problems
• Average marks
• Combined average

 Average Formula

0

 Combined Average Formula

1

 Shortcut Tricks

Concept	Shortcut
Average	Sum ÷ Count
Total Sum	Average × Number
Missing value	Total − Known values
Combined average	Add total sums
Equal increase	Average also increases

Practice Questions

Q1. Find average of 10, 20, 30, 40, 50.

Solution:

Sum = 150

150 ÷ 5

✅ Answer = 30

Q2. Average of 5 numbers is 20. Find total sum.

Solution:

20 × 5

✅ Answer = 100

Q3. Average of 8 students is 60. Find total marks.

Solution:

60 × 8

✅ Answer = 480

Q4. Find average of 12, 18, 24, 30, 36.

Solution:

Sum = 120

120 ÷ 5

✅ Answer = 24

Q5. Average age of 4 persons is 25 years. Find total age.

Solution:

25 × 4

✅ Answer = 100 years

Q6. Average of 6 numbers is 15. If one number is removed, average becomes 14. Find removed number.

Solution:

Original total = 15 × 6 = 90

New total = 14 × 5 = 70

Removed number = 90 − 70

✅ Answer = 20

Q7. Average marks of 10 students is 50. Find total marks.

Solution:

50 × 10

✅ Answer = 500

Q8. Find average of first 5 natural numbers.

Solution:

1 + 2 + 3 + 4 + 5 = 15

15 ÷ 5

✅ Answer = 3

Q9. Average salary of 4 workers is ₹5000. Find total salary.

Solution:

5000 × 4

✅ Answer = ₹20,000

Q10. Average of two numbers is 40. One number is 30. Find other number.

Solution:

Total = 40 × 2 = 80

Other number = 80 − 30

✅ Answer = 50

 Observation Tricks

• Use Average × Number quickly
• Avoid lengthy addition
• Observe missing value logic
• Practice mental calculations daily

 Important Average Formulas

Topic	Formula
Average	Sum/Count
Total Sum	Average × Count
Combined Average	Total Sum/Total Count
Missing Value	Total − Known Values
New Average	Updated Total/Count

🎯 Daily Practice Strategy

• Practice average calculations
• Practice missing value problems
• Revise combined averages
• Practice age-based questions
• Practice marks & salary problems

This improves:

• Arithmetic speed
• Logical reasoning
• Competitive exam confidence

“Strong Average Concepts Make Calculations Simple and Scoring.”

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 9 | Ratio & Proportion Practice Set with Answers & Shortcut Tricks

 

 Bank Exam Practice Material Series – Page 9

Ratio & Proportion Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Ratio & Proportion shortcut tricks, partnership concepts, distribution methods, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Ratio & Proportion in Bank Exams

Ratio & Proportion is one of the most important arithmetic topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams

This section tests:

• Mathematical comparison
• Logical reasoning
• Simplification ability
• Problem-solving speed

🎯 Important Concepts

Questions are mainly based on:

• Ratio simplification
• Equivalent ratios
• Direct proportion
• Inverse proportion
• Partnership concepts
• Distribution methods

 Ratio Formula

0

Proportion Formula

1

 Shortcut Tricks

Concept	Shortcut
Ratio simplification	Divide by common factor
Equivalent ratios	Multiply/divide equally
Direct proportion	Increase together
Inverse proportion	One increases, other decreases
Percentage ratio	Convert percentage into ratio

 Practice Questions

Q1. Simplify ratio 20 : 40

Solution:

Divide by 20

20 : 40

1 : 2

✅ Answer = 1 : 2

Q2. Find ratio of 45 and 60.

Solution:

Divide by 15

45 : 60

3 : 4

✅ Answer = 3 : 4

Q3. If A:B = 2:3 and B:C = 4:5, find A:C.

Solution:

A:B = 2:3

B:C = 4:5

LCM of B values = 12

A:B = 8:12

B:C = 12:15

A:C = 8:15

✅ Answer = 8 : 15

Q4. Divide ₹600 in ratio 2:3.

Solution:

Total parts = 5

600 ÷ 5 = 120

2 parts = 240

3 parts = 360

✅ Answer = ₹240 and ₹360

Q5. Find fourth proportional to 2, 4, 6.

Solution:

2

2x = 24

x = 12

✅ Answer = 12

Q6. Ratio of boys and girls is 5:4. Total students = 45. Find boys.

Solution:

Total parts = 9

45 ÷ 9 = 5

Boys = 5 × 5

✅ Answer = 25

Q7. Convert 25% into ratio.

Solution:

25:100

1:4

✅ Answer = 1 : 4

Q8. If income increases in ratio 3:5, find increase percentage.

Solution:

Increase = 2

3

✅ Answer ≈ 66.67%

Q9. Simplify 84 : 126

Solution:

Divide by 42

84 : 126

2 : 3

✅ Answer = 2 : 3

Q10. A sum is divided in ratio 7:8 and smaller share is ₹700. Find larger share.

Solution:

1 part = 100

8 parts = 800

✅ Answer = ₹800

 Observation Tricks

• Use HCF for simplification
• Convert percentages into ratios quickly
• Match common terms carefully
• Practice direct & inverse proportion daily

Important Ratio & Proportion Formulas

Topic	Formula
Ratio	a/b
Proportion	a:b::c:d
Fourth Proportional	(b×c)/a
Percentage Ratio	Percentage/100
Distribution	Total × Ratio/Total Parts

🎯 Daily Practice Strategy

• Practice ratio simplification
• Practice distribution problems
• Revise partnership concepts
• Practice percentage conversions
• Solve proportion equations

This improves:

• Arithmetic accuracy
• Logical reasoning
• Competitive exam confidence

“Strong Ratio Concepts Make Arithmetic Questions Faster and Easier.”

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 8 | Time, Speed & Distance Practice Set with Answers & Shortcut Tricks

 

Bank Exam Practice Material Series – Page 8

Time, Speed & Distance Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Time, Speed & Distance shortcut tricks, train problems, relative speed concepts, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Time, Speed & Distance in Bank Exams

Time, Speed & Distance is one of the most important quantitative aptitude topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams

This section tests:

• Calculation speed
• Logical application
• Formula usage
• Problem-solving ability

🎯 Important Concepts

Questions are mainly based on:

• Speed
• Distance
• Time
• Average speed
• Relative speed
• Train problems

 Speed Formula

0

 Distance Formula

1

Time Formula

2

 Shortcut Tricks

Concept	Shortcut
Speed ↑	Time ↓
Distance fixed	Speed and time inversely proportional
Average speed	Total distance ÷ Total time
Train crossing	Length included
Relative speed	Add/Subtract speeds

Practice Questions

Q1. A car travels 120 km in 2 hours. Find speed.

Solution:

3

✅ Answer = 60 km/hr

Q2. A train moves at 80 km/hr for 5 hours. Find distance.

Solution:

4

✅ Answer = 400 km

Q3. A bus covers 150 km at 50 km/hr. Find time.

Solution:

5

✅ Answer = 3 hours

Q4. A man walks at 5 km/hr for 4 hours. Find distance.

Solution:

5 × 4

✅ Answer = 20 km

Q5. A train crosses a pole in 20 seconds at 54 km/hr. Find train length.

Solution:

54 km/hr = 15 m/s

Length = Speed × Time

15 × 20

✅ Answer = 300 meters

Q6. Two cars move in opposite directions at 40 km/hr and 60 km/hr. Find relative speed.

Solution:

40 + 60

✅ Answer = 100 km/hr

Q7. Two trains move in same direction at 90 km/hr and 70 km/hr. Find relative speed.

Solution:

90 − 70

✅ Answer = 20 km/hr

Q8. A cyclist covers 90 km in 3 hours. Find speed.

Solution:

90 ÷ 3

✅ Answer = 30 km/hr

Q9. A train travels 600 km in 10 hours. Find speed.

Solution:

600 ÷ 10

✅ Answer = 60 km/hr

Q10. Average speed for 120 km in 2 hours = ?

Solution:

120 ÷ 2

✅ Answer = 60 km/hr

 Observation Tricks

• Memorize unit conversions
• Convert km/hr into m/s quickly
• Use direct formulas
• Observe relative speed concepts

 Important Formulas Table

Topic	Formula
Speed	Distance/Time
Distance	Speed × Time
Time	Distance/Speed
Relative Speed	Sum/Difference
Average Speed	Total Distance/Total Time

🎯 Daily Practice Strategy

• Practice speed calculations
• Practice distance problems
• Revise train questions
• Practice relative speed concepts
• Improve unit conversions

This improves:

• Calculation speed
• Formula application
• Competitive exam confidence

“Speed and Accuracy Together Create Success in Aptitude Exams.”

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Bank Exam Practice Material Series