CAT Percentages, Profit & Loss: A Strategic Guide

Percentages are the most fundamental topic in CAT Arithmetic, forming the base for Profit & Loss, Simple & Compound Interest, and Data Interpretation. This guided path will teach you the core concepts and advanced shortcuts needed to solve these problems with speed and accuracy.

Section 1: The Core Toolkit for Percentages

Foundation: Conversions & The Percent Equation

Start with the basics: converting between percents and fractions, and mastering the three core problems (finding the part, percent, or whole).

Key Shortcut: Fractional Multipliers

Memorize and practice using fractional multipliers for common percent increases and decreases. This is a critical speed-boosting technique for the CAT.

Mental Math: Decrease Multipliers

Memorize the multipliers for decreases.

Section 2: Advanced Concepts & Common Traps

Core Concept: The Logic of Compounding

Understand the principle of "growth on growth." This visualizer is the key to mastering both compound interest and successive percent changes.

Common Trap: Successive Percent Change

The CAT loves this trap. Use our interactive demo to see why a +X% and a -X% change don't cancel out, and learn the logic to solve these problems quickly.

Application: The Offset Calculator

Now that you understand the trap, learn the specific formulas required to perfectly reverse an initial percent increase or decrease.

Section 3: Profit, Loss & Discounts

Foundation: Cost Price, Selling Price & Markup (NEW)

Learn the fundamental vocabulary of Profit & Loss and the relationship between Cost Price, Markup, and Selling Price.

Application: Successive Transactions & Discounts (NEW)

Tackle classic CAT problems involving successive discounts, finding overall profit/loss after multiple sales, and scenarios with faulty weights.

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