Ratio and Proportion – Speed Tricks and Shortcut Methods
Solve ratio problems quickly using simplified models and fast calculation techniques.
Core Concepts
- Ratio represents comparison
- a : b = a/b
- Multiply/divide both terms to simplify
- Use LCM method in combined work problems
Simplification Trick
Example: 20 : 30
Method:
Divide both by 10 → 2 : 3
Division Trick
Example: Divide 600 in ratio 2 : 3
Method:
Total parts = 5
Value of 1 part = 600 ÷ 5 = 120
Answer: 240 and 360
Proportion Shortcut
Example: a : b = c : d
Rule:
a × d = b × c
Exam Level Questions
1. 3 : 5 = x : 20
Answer: x = 12
2. 4 : 7 = 8 : x
Answer: x = 14
3. Divide 500 in ratio 1 : 4
Answer: 100 and 400
Common Mistake
Students forget to divide total by sum of ratio parts.
Speed Tip
Always simplify ratio first before solving the problem.
Shaktimatha Learning
Speed Maths • Bank Exam Preparation
Speed Maths • Bank Exam Preparation
No comments:
Post a Comment