CAT Study Notes: Percentage and Variations

1. Core Concepts of Percentage

1.1 Basic Conversions and Relationships

1.2 Percentage Change

2. Profit, Loss, and Discount

3. Variations: Direct, Inverse, and Joint

4. Successive Changes and Compound Growth/Decay

5. Advanced Applications & Mixtures

5.1 Percentage in Mixtures

5.2 Data Interpretation Readiness

6. Quick Strategy for CAT Exam

When to Attempt:

Straightforward percentage change, profit-loss, or discount problems.
Variation problems that can be solved in one step using ratio/product method.
Successive percentage change problems where the formula can be applied directly.
Percentage questions in DI sets where calculations are neat.

When to Skip or Be Cautious:

Word problems with multiple layers of percentage changes and reverse calculations (time-consuming).
Problems involving fake weights (e.g., cheating shopkeeper) unless you have a clear shortcut.
Very high-number percentage calculations without easy simplification.

Time Allocation: Aim for 1-2 minutes per standalone percentage question. In DI, percentage calculations should be sub-30 seconds each with approximation skills.

Mental Math Focus: Memorize fraction-percentage equivalents (1/2 to 1/20). Practice 10% and 1% extraction quickly. Use multiplication and division shortcuts.

[VIDEO: "CAT Percentage shortcuts successive change"]

[VIDEO: "Alligation rule for percentage mixtures"]

[VIDEO: "Profit loss discount advanced CAT problems"]

[IMAGE: Alligation cross diagram for mixture percentages]

[IMAGE: Graph showing direct vs inverse variation]

Percentages and Variations