Ratio, Proportion and Variation — Important Topics
CMAT · Quantitative Techniques & Data Interpretation
Most important topics from Ratio, Proportion and Variation for CMAT Quantitative Techniques & Data Interpretation 2026 — high-weightage areas based on previous year analysis.
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Get startedRatio, Proportion and Variation — Syllabus & Topics
Topics covered in Ratio, Proportion and Variation for CMAT Quantitative Techniques & Data Interpretation.
Topics in Ratio, Proportion and Variation
Ratio - Fundamentals and Properties
- A ratio is the quotient of two numbers, expressing how many times one number is compared to another
- Ratio of x to y is written as x:y or x/y, where x is antecedent and y is consequent
- Ratios can be expressed as decimals or percentages for easy comparison
Ratio Calculations and Comparison Methods
- Four scenarios for ratio comparisons: both increase, both decrease, one increases-one decreases
- Cross multiplication method: compare ad with bc for ratios a/b and c/d
- Percentage value method: convert ratios to percentages for easy comparison
Proportion - Properties and Applications
- When two ratios are equal, the four quantities are in proportion
- In proportion a:b::c:d, product of extremes equals product of means (ad = bc)
- Continued proportion: three quantities a,b,c where a:b = b:c
Variation - Direct and Inverse Relationships
- Direct variation: A ∝ B means A = kB (constant ratio A/B)
- Inverse variation: A ∝ 1/B means A = k/B (constant product A×B)
- Joint variation: A varies jointly as B and C means A = kBC
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