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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