Ratio & Proportion – Advanced Tricks & Tough Problems
Master ratio concepts and shortcut methods to solve bank exam questions quickly.
1. Important Concepts
- Ratio = a : b
- Proportion = a : b = c : d
- Cross multiplication method
- Direct and inverse proportion
2. Speed Tricks
- Convert ratio into fractions
- Use LCM for combining ratios
- Use unitary method
- Shortcut for mixture problems
3. Tough Problems
Q1: If A:B = 3:4 and B:C = 2:5, find A:C
Solution:
Make B equal:
A:B = 3:4 → 6:8
B:C = 2:5 → 8:20
A:C = 6:20 = 3:10
Q2: Divide 600 in ratio 2:3:5
Solution:
Total = 10 parts
Each part = 600 ÷ 10 = 60
Answer = 120, 180, 300
Q3: If ratio of ages is 5:7 and sum is 48, find ages
Solution:
Total parts = 12
Each part = 48 ÷ 12 = 4
Ages = 20 and 28
Q4: If income ratio = 3:4 and expenses ratio = 2:3, find savings ratio
Solution:
Take LCM approach
Income = 12:16
Expenses = 8:12
Savings = 4:4 → 1:1
Q5: Two numbers are in ratio 4:5 and difference is 10. Find numbers
Solution:
Difference = 1 part = 10
Numbers = 40 and 50
4. Exam Tips
- Always equalize middle term in ratio questions
- Use LCM for combining ratios
- Practice mixture-based problems
- Convert ratios into actual values quickly
Shaktimatha Learning
Quant • Ratio & Proportion • Bank Exam Preparation
Quant • Ratio & Proportion • Bank Exam Preparation
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