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Back to Percentage Blueprint
Pattern 04·Foundation·L1

Percentage Increase / Decrease

High FrequencyMust Master 45–60 sec

USE WHEN

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

BEST METHOD

Multiplier Method

TARGET

45–60 sec

MASTERY

not started

Recognition Cues

  • 'increase/decrease from old to new'
  • relative change asked
  • same quantity before vs after

How to Recognise

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

Core Concept

Percentage change always uses the original value as the denominator.

%change=(New−Old)/Old×100\% change = (New−Old)/Old \times 100%change=(New−Old)/Old×100

Athena Shortcut

Use multiplier language: +x% → ×(1+x/100); −x% → ×(1−x/100).

Alternative Method · Multiplier Method

Think old value × change factor instead of using change/original every time.

Timed drill

Identify the base or invariant before you calculate.

1:00

Attempt first · Standard Example

Price rises from ₹800 to ₹920. Find percentage increase.

Attempt first · CAT-Level Example

A quantity falls from 250 to 200 and then rises to 250. Find the percentage fall and the percentage rise.

Common Trap

  • Equal absolute rise and fall do not imply equal percentage change.

3-level practice ladder

Attempt all three before checking solutions

Foundation

A score rises from 64 to 80. Find the percentage increase.

CAT Standard

A value falls from 360 to 297. Find the percentage decrease.

Advanced / Hybrid

A company's output rises from 2,400 units to 2,940 units. Find the percentage increase.

PYQ Mapping

Verified mappingCAT 2021 · Slot 2

cat 2021 slot 2: investment loss followed by growth requires percentage-change equations across two years.

Pattern Connections

#05 Reverse Percentage #07 Successive Percentage Changes #08 Returning to Original Value
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Learning flow

  1. 1Recognition Cues
  2. 2How to Recognise
  3. 3Core Concept
  4. 4Formula
  5. 5Athena Shortcut
  6. 6Alternative Method
  7. 7Timed Drill
  8. 8Standard Example
  9. 9CAT-Level Example
  10. 10Common Trap
  11. 11Practice Ladder
  12. 12PYQ Mapping
  13. 13Connections
  14. 14Mastery

Attempt every example before opening its answer.