Economics
Intermediate

Price Elasticity of Demand

How responsive quantity demanded is to a change in price.

Formula

Ed=%ΔQd%ΔPE_d = \dfrac{\%\Delta Q_d}{\%\Delta P}

Variables

E_dElasticity of demand
\%\Delta Q_d% change in quantity
\%\Delta P% change in price

Example

Qty −20% when price +10%: E_d = −2 (elastic)

How it works

Price elasticity of demand measures how strongly buyers change the quantity they purchase when price changes. It is found by comparing the percentage change in quantity demanded with the percentage change in price, so the result is a unitless ratio that lets you compare responsiveness across different products. A larger absolute value means consumers are more sensitive to price changes, while a smaller absolute value means demand is more resistant to price changes.

When to use it

Use this formula when analyzing how a product's sales might react to a price increase or discount, especially in pricing, marketing, and tax-policy questions. It is also useful for comparing whether demand for one good is more or less responsive than demand for another.

Worked example, step by step

A company raises the price of a game from $50 to $55, and monthly sales fall from 2,000 units to 1,800 units. Step 1: Find % change in quantity demanded = (1,800 - 2,000) / 2,000 × 100 = -10% Step 2: Find % change in price = (55 - 50) / 50 × 100 = +10% Step 3: Substitute into the formula: E_d = %ΔQ_d / %ΔP = -10% / 10% = -1 Final answer: E_d = -1, so demand is unit elastic over this price change.

Common mistakes to avoid

  • Using the new value as the denominator instead of the original value when finding percentage changes
  • Ignoring the negative sign and forgetting that demand usually moves opposite to price
  • Mixing up quantity demanded with quantity supplied

Did You Know?

Necessities like insulin are inelastic; luxuries and easily substituted goods are highly elastic.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026