United Nations Assembly
Ratio & Proportion – Core Concept for Bank Exams
Quantitative Aptitude – Ratio & Proportion
Ratio and Proportion are fundamental topics in quantitative aptitude. These concepts are widely used in problems related to partnership, mixture, time and work, and data interpretation.
---What is Ratio?
A ratio compares two quantities of the same kind.
a : b = a / b
Example: If A and B have money in ratio 2:3, it means for every 2 units A has, B has 3 units.
---What is Proportion?
Proportion means equality of two ratios.
a : b = c : d → a/b = c/d
Cross multiplication: a × d = b × c
---Important Concepts
- If a : b = m : n, then a = km and b = kn
- Sum of ratios = total parts
- Value of each part = Total / Sum of ratio
Shortcut Tricks
1. Divide According to Ratio
Example: Divide 500 in ratio 2:3 Total parts = 5 Each part = 500/5 = 100 Answer = 200 and 300
2. Convert Ratio to Fraction
2:3 → 2/5 and 3/5 Useful in fast calculations
3. Direct Proportion
If one value increases, the other also increases Example: More workers → less time
---Practice Questions
Q1. Divide 600 in ratio 2:4
Answer: 200 and 400
Q2. If a:b = 3:5 and total = 80, find a
Answer: 30
Q3. If 4:x = 8:16, find x
Answer: 8
Q4. Ratio of boys to girls is 3:2. Total students = 50. Find boys
Answer: 30
Speed Strategy
- Always find total parts first
- Use unitary method
- Convert ratio into fractions
- Avoid long equations
Practice Task
1. Divide 900 in ratio 4:5
2. If a:b = 7:3 and total = 100, find b
3. If 5:x = 10:20, find x
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