Bank Exam Preparation Concept
Ratio & Proportion – Shortcut Tricks & Tough Problems
Ratio and proportion are fundamental topics used in mixtures, partnerships, and data interpretation.
1. Basic Concept
Ratio compares two quantities.
Example:
If A : B = 2 : 3
Total parts = 5
2. Convert Ratio into Values
Example:
Divide 100 in ratio 2 : 3
Solution:
Total parts = 5
Each part = 100 ÷ 5 = 20
Answer = 40 and 60
3. Proportion Concept
If a : b = c : d
Then a × d = b × c
Example:
2 : 4 = 3 : 6
Check → 2×6 = 4×3 ✔
4. Ratio Change Trick
If income ratio = 3 : 4
and income increases by same amount → ratio changes
Use concept: difference remains constant
5. Mixture Concept (Important)
Use alligation method
Example:
Mix 10 Rs and 20 Rs items to get 15 Rs
Ratio:
(20 - 15) : (15 - 10) = 5 : 5 = 1 : 1
Tough Problems
Q1:
Divide 360 in ratio 3 : 5 : 7
Solution:
Total = 15
Each part = 360 ÷ 15 = 24
Answer = 72, 120, 168
Q2:
If A : B = 2 : 3 and B : C = 4 : 5, find A : B : C
Solution:
Make B common → LCM = 12
A : B = 8 : 12
B : C = 12 : 15
Answer = 8 : 12 : 15
Q3:
Two numbers are in ratio 5 : 7 and their sum is 144. Find numbers.
Solution:
Total parts = 12
Each part = 144 ÷ 12 = 12
Answer = 60 and 84
Exam Strategy
- Always convert ratio into total parts
- Use LCM method for combined ratios
- Apply alligation in mixture problems
- Avoid lengthy calculations
Quantitative Aptitude • Bank Exams • Competitive Preparation
Focused Study for Competitive Exams
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