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Pattern 09·Core CAT·L2

Price × Consumption × Expenditure

Very High FrequencyMust Master 60–90 sec

USE WHEN

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

BEST METHOD

Equation Method

TARGET

60–90 sec

MASTERY

not started

Recognition Cues

  • price change + budget/expenditure
  • quantity consumed must adjust
  • spending fixed or partially changed

How to Recognise

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

Core Concept

Expenditure equals price per unit multiplied by quantity consumed.

E=P×Q;E2/E1=(P2/P1)(Q2/Q1)E=P\times Q; E₂/E₁=(P₂/P₁)(Q₂/Q₁)E=P×Q;E2​/E1​=(P2​/P1​)(Q2​/Q1​)

Athena Shortcut

If expenditure stays constant and price rises x%, consumption falls by x/(100+x)×100%.

Alternative Method · Equation Method

Use P₁Q₁=E₁ and P₂Q₂=E₂, then compare multipliers instead of relying only on shortcut formula.

Timed drill

Identify the base or invariant before you calculate.

1:30

Attempt first · Standard Example

Petrol price rises 25%. By what % should consumption fall to keep spending unchanged?

Attempt first · CAT-Level Example

Price rises 20% while expenditure rises only 8%. Find change in consumption.

Common Trap

  • Price and quantity changes interact multiplicatively; do not subtract percentages blindly.

3-level practice ladder

Attempt all three before checking solutions

Foundation

Price falls 20% while expenditure falls 4%. Find the percentage change in quantity consumed.

CAT Standard

Price rises 25% while expenditure rises 10%. Find the change in quantity.

Advanced / Hybrid

Price falls 10% while expenditure rises 8%. Find the change in quantity.

PYQ Mapping

Verified mappingCAT 2020 · Slot 2

cat 2020 slot 2: rice and wheat expenditure changes after 20% and 12% price increases.

Pattern Connections

#10 Income × Expenditure × Savings #24 Percentage + Ratio #32 Multi-Constraint CAT Percentage Problems
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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.