AthenaPrepAthenaPrep

Menu

HomeLearnQuant Blueprints
FlashcardsConcept MapsPYQsMocksFocus
1:1 MentorshipQuantify CATRevision Resources
Refer & Earn
AthenaPrepAthenaPrep

Menu

HomeLearnQuant Blueprints
FlashcardsConcept MapsPYQsMocksFocus
1:1 MentorshipQuantify CATRevision Resources
Refer & Earn
AProfile
Back to Percentage Blueprint
Pattern 30·Hybrid·L3

Percentage + SI / CI

High FrequencyMust Master 90–120 sec

USE WHEN

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

BEST METHOD

Growth Multiplier Method

TARGET

90–120 sec

MASTERY

not started

Recognition Cues

  • CI/SI/growth multipliers
  • investment or amount after years
  • rates applied repeatedly

How to Recognise

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

Core Concept

CI is the multiplier version of repeated percentage growth; SI adds equal interest on original principal.

CI:A=P(1+r/100)n;SI:A=P(1+nr/100)CI: A=P(1+r/100)^n; SI: A=P(1+nr/100)CI:A=P(1+r/100)n;SI:A=P(1+nr/100)

Athena Shortcut

For different annual CI rates, multiply annual factors.

Alternative Method · Growth Multiplier Method

Treat CI as repeated percentage growth; multiply annual factors directly.

Timed drill

Identify the base or invariant before you calculate.

2:00

Attempt first · Standard Example

₹10,000 at 10% CI for 2 years. Amount?

Attempt first · CAT-Level Example

An investment grows 20% in year1, falls 10% in year2, grows 25% in year3. Net change?

Common Trap

  • Do not apply SI logic to changing/reinvested bases.

3-level practice ladder

Attempt all three before checking solutions

Foundation

₹8,000 grows 25% in year 1 and 20% in year 2. Find final amount.

CAT Standard

₹10,000 is invested at 10% compound interest annually for two years. Find amount.

Advanced / Hybrid

An investment rises 20%, falls 10%, then rises 25%. Find net percentage change.

PYQ Mapping

Verified mappingCAT 2023 · Slot 2

cat 2023 slot 2 compound-interest loan; cat 2024 slot 3 compound-growth investment; cat 2024 slot 2 mixed ci/si investment.

Pattern Connections

#07 Successive Percentage Changes #11 Population Growth / Decline #12 Appreciation / Depreciation
Sign in to save progressAll patterns

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.