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Ratio, Proportion and Variation — Formula Sheet

XAT · Quantitative Ability & Data Interpretation

Free Ratio, Proportion and Variation formula sheet for XAT Quantitative Ability & Data Interpretation 2026 — all important formulas, equations, and constants for quick reference.

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An illustration defining a ratio as a fraction x/y, labeling x as antecedent, y as consequent, and both as terms. It also visually distinguishes between homogeneous (unitless) and heterogeneous (with
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Formula Sheet — Ratio, Proportion and Variation

Important formulas and equations from Ratio, Proportion and Variation for XAT Quantitative Ability & Data Interpretation.

Formulas — Ratio, Proportion and Variation

Basic Ratio Concepts

Ratio = x:y = x/y
If a:b = m:n, then a/b = m/n

Chain Ratios and Consolidation

A:B:C:D:E = N₁N₂N₃N₄ : D₁N₂N₃N₄ : D₁D₂N₃N₄ : D₁D₂D₃N₄ : D₁D₂D₃D₄
LCM Method: Make common terms equal using LCM

Ratio Comparison Methods

Cross Multiplication: For a/b vs c/d, compare a×d with b×c
Percentage Comparison: Convert ratios to percentage ranges
Ratio of Changes: Compare (Δnumerator/Δdenominator) with original ratio

Proportion

a:b :: c:d means a/b = c/d
Mean Proportional: b² = ac for a:b :: b:c
Third Proportional: For a:b :: b:x, then x = b²/a

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Frequently Asked Questions

What topics are covered in Ratio, Proportion and Variation for XAT?
Ratio, Proportion and Variation is an important chapter in XAT Quantitative Ability & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Ratio - Fundamentals and Properties, Ratio Calculations and Comparison Methods, Proportion - Properties and Applications, Variation - Direct and Inverse Relationships.
How important is Ratio, Proportion and Variation for XAT?
Ratio, Proportion and Variation is a frequently tested chapter in XAT Quantitative Ability & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 49 practice questions available for this chapter.
How to prepare Ratio, Proportion and Variation for XAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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