Tuesday, 2 June 2026

Bank Exam Practice Material Series Page 9 | Advanced Ratio & Proportion Tricks and Variation Methods

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Ratio & Proportion

Variation Concepts

Heavy Standard Questions

Speed Tricks

Page 9 – Advanced Ratio & Proportion Tricks and Variation Methods

Master advanced ratio and proportion concepts, direct and inverse variation methods, partnership logic, and shortcut solving techniques for competitive examinations.

Why Ratio & Proportion is Important

Important topic in Bank and SSC exams
Improves logical comparison ability
Useful in partnership and mixture problems
Strengthens proportional thinking
Enhances calculation speed and accuracy

Core Concepts Covered

Simple Ratios
Direct Proportion
Inverse Proportion
Partnership Ratio Logic
Division in Ratios

Important Ratio & Proportion Formulas

Ratio Formula

Proportion Formula

Direct Variation

Advanced Ratio & Proportion Tricks

Trick 1 – Simplifying Ratios

48 : 72

Divide both terms by 24

48 ÷ 24 = 2

72 ÷ 24 = 3

Answer = 2 : 3

Trick 2 – Division in Ratio

Divide ₹900 in ratio 2 : 3

Total parts = 5

One part = 900 ÷ 5 = 180

2 × 180 = 360

3 × 180 = 540

Answer = ₹360 and ₹540

Trick 3 – Inverse Proportion

More workers require less time

If 4 workers complete work in 12 days,

8 workers complete in:

(4 × 12) ÷ 8

Answer = 6 Days

Heavy Standard Practice Questions

Question 1

Simplify ratio 84 : 126

Answer = 2 : 3

Question 2

Divide ₹1200 in ratio 5 : 7

Answer = ₹500 and ₹700

Question 3

If 6 men complete work in 18 days, how many days for 9 men?

Answer = 12 Days

Question 4

Find fourth proportional to 2, 4, 8

Answer = 16

Fast Revision Table

Concept	Shortcut Idea
Simple Ratio	Divide by common factor
Division in Ratio	Find one part first
Direct Proportion	Increase together logically
Inverse Proportion	More quantity means less requirement