Ratio & Proportion – Advanced Models + Shortcut Tricks
Solve ratio problems faster using LCM method and avoid common exam traps.
🔥 Shortcut Tricks
- Convert ratios into fractions
- Use LCM to combine ratios
- Apply unitary method
- Use cross multiplication
Solve in 5 Seconds
Q1: Divide 300 in ratio 2:3
Answer:
Total = 5 parts → each = 60
Answer = 120, 180
Q2: Ratio 1:2 → total value 60
Answer:
20 and 40
Exam Level Questions
Q3: If A:B = 3:4 and B:C = 2:5, find A:C
Shortcut:
Make B equal → LCM = 8
A:B = 6:8
B:C = 8:20
Answer: 3:10
Q4: Two numbers in ratio 4:5, difference = 10
Solution:
1 part = 10
Numbers = 40 and 50
Q5: Sum = 72, ratio = 5:7
Solution:
Total = 12 parts → each = 6
Answer: 30 and 42
Q6: Income ratio = 3:4, expense = 2:3 → find saving ratio
Shortcut:
LCM approach
Income = 12:16
Expense = 8:12
Saving = 4:4
Answer: 1:1
❌ Most Students Mistake
- Not equalizing middle term
- Wrong LCM usage
- Confusing ratio with actual values
Speed Booster Tip
Always convert ratios into actual values only at the final step.
Shaktimatha Learning
Quant • Ratio & Proportion • Bank Exam Preparation
Quant • Ratio & Proportion • Bank Exam Preparation
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