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All Quant Blueprints

CAT Quant · Chapterwise Blueprint

Percentage Blueprint

Master 32 recurring CAT Percentage question patterns through recognition cues, shortcuts, timed drills, attempt-first examples and a three-level practice ladder.

Your mastery0%

0/32 patterns mastered

Pattern library

Recognise first. Then solve.

Showing 32 of 32 patterns

01 · FoundationFree

Fraction ↔ Decimal ↔ Percentage

Question asks you to move quickly between fractions, decimals and percentages or compare them.

45–60 sec
02 · FoundationFree

Percentage of a Quantity

A direct part of a total is requested: x% of N.

45–60 sec
03 · FoundationFree

A as a Percentage of B

Question asks what percent one quantity is of another.

45–60 sec
04 · FoundationFree

Percentage Increase / Decrease

A value changes from old to new and relative change is asked.

45–60 sec
05 · FoundationFree

Reverse Percentage

Final value is known after a percentage increase/decrease; original value is asked.

45–60 sec
06 · FoundationFree

More Than / Less Than

A is x% more/less than B and reverse comparison is asked.

45–60 sec
07 · Core CATFree

Successive Percentage Changes

A quantity undergoes two or more percentage changes one after another.

60–90 sec
08 · Core CATFree

Returning to Original Value

A value rises/falls by x% and you are asked what reverse percentage restores the original.

60–90 sec
09 · Core CATFree

Price × Consumption × Expenditure

Price changes while expenditure/budget and quantity consumed are constrained.

60–90 sec
10 · Core CATFree

Income × Expenditure × Savings

Income, spending and savings percentages change and one original proportion is unknown.

60–90 sec
11 · Core CATFree

Population Growth / Decline

Population, users, customers, production or membership changes year by year.

60–90 sec
12 · Core CATFree

Appreciation / Depreciation

Value of asset/machine/property changes repeatedly by a percentage.

60–90 sec
13 · Core CATFree

Marks / Pass–Fail

Passing percentage, marks short/excess, maximum marks or two students' outcomes are linked.

60–90 sec
14 · Core CATFree

Election / Voting

Valid/invalid votes, turnout, candidates and winning margin are expressed in percentages.

60–90 sec
15 · Core CATFree

Percentage Distribution

A total is divided into groups and subgroups with different percentage conditions.

60–90 sec
16 · Core CATFree

Percentage Points vs Percentage Change

A rate itself changes, e.g., 20% to 25%, and the question distinguishes absolute vs relative change.

60–90 sec
17 · AdvancedFree

Changing Percentage Base

Percentages refer to different bases across statements.

90–120 sec
18 · AdvancedFree

Unknown Original Composition

A group composition changes after additions/removals and final percentage is given.

90–120 sec
19 · AdvancedFree

Multiple Group Percentage Change

Different subgroups change by different percentages and total change is asked.

90–120 sec
20 · AdvancedFree

Replacement & Composition

Part of a mixture/group is removed and replaced, changing percentage composition.

90–120 sec
21 · AdvancedFree

Percentage Error

Measured/calculated value differs from actual value; error or correction is asked.

90–120 sec
22 · AdvancedFree

Repeated Percentage Operations

Several increases, decreases, markups, discounts or growth rates occur in sequence.

90–120 sec
23 · AdvancedFree

Percentage Equations

A word problem gives several percentage relationships but no actual base values.

90–120 sec
24 · HybridFree

Percentage + Ratio

Quantities are in a ratio, then one or more components change by percentages.

90–120 sec
25 · HybridFree

Percentage + Average

Group sizes and/or group averages differ by percentages.

90–120 sec
26 · HybridFree

Percentage + Profit / Loss

Different items have different profit/loss percentages and cost weights, or markup/discount chains appear.

90–120 sec
27 · HybridFree

Percentage + Mixture

Concentration percentages combine with addition/removal/replacement.

90–120 sec
28 · HybridFree

Percentage + Time & Work

Worker efficiency changes by a percentage, or workforce changes during the job.

90–120 sec
29 · HybridFree

Percentage + Time, Speed & Distance

Speed changes by a percentage and time/distance constraints must still hold.

90–120 sec
30 · HybridFree

Percentage + SI / CI

Repeated percentage growth is described as interest, investment, population or value accumulation.

90–120 sec
31 · HybridFree

Percentage + Income + Ratio

Two or more people/groups have incomes/expenditures in a ratio and percentage changes alter the ratio.

90–120 sec
32 · HybridFree

Multi-Constraint CAT Percentage Problems

A long word problem mixes percentages with ratios, averages, work, speed, composition or budgets and hides the main equation.

90–120 sec