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Price Elasticity of Demand Calculator

Find the price elasticity of demand by the midpoint method, whether demand is elastic, and how revenue changes.

Change the values and press Calculate to work out your own figures.

Enter the two prices and quantities demanded.

About starting priceBefore the change.
About starting quantityDemanded or supplied.
About new priceAfter the change.
About new quantityAfter the price change.
About percent changeThe midpoint method gives the same answer in both directions.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
Result
Price elasticity of demand
−2.75
Elasticity
Elastic
Change in quantity
−50%
Change in price
18.18%
Revenue before
$1,000.00
Revenue after
$720.00
Revenue change
−$280.00

The elasticity is −2.75: elastic.

Show the working
  1. %Δ = (new − old) ÷ ((new + old) ÷ 2)
  2. elasticity = %Δ quantity ÷ %Δ price

How to use it

Enter the two prices and quantities demanded.

Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.

Key facts

elasticity = %Δ quantity ÷ %Δ price
midpoint %Δ = (new − old) ÷ ((new + old) ÷ 2)

Reading it

Beyond −1 demand is elastic (revenue falls when price rises); between −1 and 0 it is inelastic.

Questions

Is demand elastic if a price rise from $10 to $12 cuts sales from 100 to 60?

Yes: −2.75.

Formulas

elasticity = %Δ quantity ÷ %Δ price
midpoint %Δ = (new − old) ÷ ((new + old) ÷ 2)

Sources

Limitations

  • Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
  • Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.

Formula version 0.1.0Reviewed