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Types of Elasticity of Demand > Cross Elasticity

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Topics

  • Meaning
  • Definition: Cross Elasticity
  • Formula: Cross Elasticity of Demand
  • Types of Cross Elasticity
  • Limitations
  • Importance
  • Real-Life Application
  • Key Points: Cross Elasticity
CISCE: Class 12

Meaning

Cross elasticity of demand measures how much the quantity demanded of one good (X) changes when the price of another good (Y) changes.

Maharashtra State Board: Class 12
CISCE: Class 12

Definition: Cross Elasticity

  • "The Cross elasticity of demand is the proportional change in the quantity of X good demanded resulting from a given relative change in the price of a related good Y ." - Ferguson
  • "The Cross elasticity of demand is a measure of the responsiveness of the purchase of Y to a change in the price of X." -Leibafsky
Maharashtra State Board: Class 12
CISCE: Class 12

Formula: Cross Elasticity of Demand

\[e_{xy}=\frac{\Delta Q_X}{Q_X}\times\frac{P_Y}{\Delta P_Y}\]

Where:

  • exy: Cross elasticity of demand between X & Y
  • ΔQX: Change in quantity demanded of X
  • QX: Initial quantity demanded of X
  • PY: Initial price of Y
  • ΔPY: Change in price of Y
CISCE: Class 12

Types of Cross Elasticity

Type Description Example
Positive An increase in price of Y increases demand for X (substitutes). Tea & Coffee
Negative A decrease in price of Y increases demand for X (complements). Bread & Butter
Zero A price change in Y has no effect on demand for X (Unrelated goods) Tea & TV Set
CISCE: Class 12

Limitations

  1. Negative cross elasticity not always means complementarity (example: butter and margarine).
  2. Cross elasticity is directional, not reciprocal.
CISCE: Class 12

Importance

CISCE: Class 12

Real-Life Applications

  • Substitutes: If Coke gets expensive, demand for Pepsi rises.
  • Complements: If the price of cars falls, petrol demand rises.
  • Unrelated: The Price of laptops doesn't affect banana demand.
Maharashtra State Board: Class 12
CISCE: Class 12

Key Points: Cross Elasticity

  • Measures responsiveness of demand of one good to price changes of another.
  • Positive elasticity for substitutes, negative for complements, and zero for unrelated.
  • Useful for practical decision-making in business, policy, and trade.

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