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 06·Foundation·L1

More Than / Less Than

High FrequencyMust Master 45–60 sec

USE WHEN

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

BEST METHOD

Base-100 Method

TARGET

45–60 sec

MASTERY

not started

Recognition Cues

  • 'more than / less than' wording
  • reverse comparison asked
  • same difference on different bases

How to Recognise

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

Core Concept

Changing the comparison direction changes the percentage because the base changes.

IfAisx%morethanB,thenBis[x/(100+x)]×100%lessthanA.If A is x\% more than B, then B is [x/(100+x)]\times 100\% less than A.IfAisx%morethanB,thenBis[x/(100+x)]×100%lessthanA.

Athena Shortcut

Set the smaller/base quantity to 100 whenever possible.

Alternative Method · Base-100 Method

Assume the smaller or reference quantity as 100 to reverse the relation instantly.

Timed drill

Identify the base or invariant before you calculate.

1:00

Attempt first · Standard Example

A is 25% more than B. B is what percent less than A?

Attempt first · CAT-Level Example

A is 20% less than B and B is 25% more than C. Compare A and C.

Common Trap

  • ‘x% more’ and ‘x% less’ are not reversible statements.

3-level practice ladder

Attempt all three before checking solutions

Foundation

A is 50% more than B. B is what percentage less than A?

CAT Standard

A is 20% less than B. B is what percentage more than A?

Advanced / Hybrid

A is 40% more than B, while B is 20% less than C. Compare A and C.

PYQ Mapping

Verified mappingCAT 2025 · Slot 2

cat 2025 slot 2: amount division question includes '20% less than' plus ratio reconstruction.

Pattern Connections

#03 A as a Percentage of B #17 Changing Percentage Base #24 Percentage + Ratio
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.