Price elasticity of demand (PED)

Price elasticity of demand (PED) measures the responsiveness of quantity demanded to a change in the price of a good or service.

It shows how much quantity demanded changes in percentage terms when price changes by a given percentage.

→ A large change in quantity demanded after a small price change → elastic demand
→ A small change in quantity demanded after a large price change → inelastic demand

Why Use Percentages?

Different products have different units of measurement.

For example:

→ Cars may be measured in units.
→ Petrol may be measured in litres.
→ Electricity may be measured in kWh.

Using percentage changes makes comparisons easier.


Calculation of PED

The formula is:

PED = % change in quantity demanded ÷ % change in price

PED is normally expressed as a positive number when discussing its size, because price and quantity demanded move in opposite directions.

Example 1

The price of a product increases by 10% and quantity demanded falls by 20%.

→ % change in quantity demanded = 20%
→ % change in price = 10%

PED = 20 ÷ 10 = 2

Therefore:

→ PED = 2
→ Demand is elastic.


Example 2

Price increases by 20% and quantity demanded falls by 5%.

PED = 5 ÷ 20 = 0.25

→ PED = 0.25
→ Demand is inelastic.


Interpreting PED Values

PED valueType of demandMeaning
0Perfectly inelasticQuantity demanded does not change when price changes
Between 0 and 1Inelastic% change in quantity demanded is smaller than % change in price
1Unitary elastic% change in quantity demanded equals % change in price
Greater than 1Elastic% change in quantity demanded is greater than % change in price
∞Perfectly elasticA tiny price change causes an extremely large change in quantity demanded

Perfectly Inelastic Demand

PED = 0

→ Price can change
→ Quantity demanded remains unchanged.

Consumers demand the same quantity regardless of price.

Example

A life-saving medicine with no close substitute may have highly inelastic demand.

Demand Curve

→ A vertical demand curve represents perfectly inelastic demand.


Inelastic Demand

PED is between 0 and 1.

→ % change in quantity demanded < % change in price.

Example:

→ Price ↑ by 20%
→ Quantity demanded ↓ by 5%
→ PED = 0.25

Consumers are relatively unresponsive to price changes.

Demand Curve

→ A relatively steep demand curve represents inelastic demand.


Unitary Elastic Demand

PED = 1

→ % change in quantity demanded = % change in price.

Example:

→ Price ↑ by 10%
→ Quantity demanded ↓ by 10%
→ PED = 1

The percentage change in quantity demanded exactly matches the percentage change in price.


Elastic Demand

PED > 1

→ % change in quantity demanded > % change in price.

Example:

→ Price ↑ by 10%
→ Quantity demanded ↓ by 30%
→ PED = 3

Consumers are relatively responsive to price changes.

Demand Curve

→ A relatively shallow demand curve represents elastic demand.


Perfectly Elastic Demand

PED = ∞

→ Consumers are willing to buy at one particular price.
→ A very small increase in price causes quantity demanded to fall dramatically.

Demand Curve

→ A horizontal demand curve represents perfectly elastic demand.


Interpreting Demand Curves and PED

The slope of a demand curve and PED are related, but they are not exactly the same concept.

For Cambridge IGCSE Economics, remember:

→ Steep demand curve → relatively inelastic demand
→ Shallow demand curve → relatively elastic demand
→ Vertical curve → perfectly inelastic
→ Horizontal curve → perfectly elastic

The key idea is responsiveness.

Comparing Two Products

Suppose:

→ Demand for salt is relatively steep.
→ Demand for restaurant meals is relatively shallow.

This suggests:

→ Consumers are less responsive to changes in the price of salt.
→ Consumers are more responsive to changes in the price of restaurant meals.


Determinants of PED

The main factors determining whether demand is elastic or inelastic are:

Availability of Substitutes

This is one of the most important determinants.

→ Many close substitutes → demand more elastic
→ Few or no close substitutes → demand more inelastic

Example

If the price of one brand of bottled water increases:

→ Consumers can easily switch to another brand
→ Quantity demanded may fall significantly
→ Demand is relatively elastic.

For a product with no close substitute:

→ Consumers have fewer alternatives
→ Quantity demanded changes less
→ Demand is relatively inelastic.


Proportion of Income Spent on the Good

→ Large proportion of income → demand tends to be more elastic
→ Small proportion of income → demand tends to be more inelastic

Example

A large increase in the price of a car can significantly affect a household’s budget.

→ Car price ↑ → large financial impact → consumers may delay/reconsider purchase → demand relatively elastic.

A small increase in the price of a packet of salt may have little effect on household spending.

→ Price ↑ → very small effect on budget → quantity demanded changes little → demand relatively inelastic.


Necessity or Luxury

Necessities

→ Consumers need the product
→ More difficult to reduce consumption
→ Demand tends to be inelastic

Examples:

→ Basic medicines
→ Essential food
→ Basic electricity use

Luxuries

→ Consumers can often postpone or avoid buying them
→ Demand tends to be more elastic

Examples:

→ Luxury holidays
→ Expensive jewellery
→ High-end entertainment


Time Period

Generally:

→ Short period → demand tends to be more inelastic
→ Longer period → demand tends to become more elastic

Why?

Consumers need time to change their behaviour.

For example:

→ Petrol price ↑ today → drivers may still need to buy petrol.
→ Petrol price remains high for several years → consumers may buy fuel-efficient cars, use public transport or cycle.
→ Quantity demanded becomes more responsive.


Habit and Addiction

Products that are habit-forming or addictive tend to have inelastic demand.

→ Consumers may find it difficult to reduce consumption when price increases.

Examples:

→ Cigarettes
→ Some addictive substances
→ Products associated with strong habits


PED, Consumer Expenditure and Firms’ Revenue

PED is particularly important because it helps predict what happens to:

→ Consumer expenditure
→ Firm revenue

Formula

Total expenditure by consumers = Price × Quantity purchased

Total revenue of firms = Price × Quantity sold

In a simple market transaction:

Consumer expenditure = Firm revenue


When Demand Is Elastic

PED > 1

Quantity demanded changes by a larger percentage than price.

Price Increase

→ Price ↑
→ Quantity demanded falls proportionately more
→ Total expenditure/revenue falls

Price Decrease

→ Price ↓
→ Quantity demanded rises proportionately more
→ Total expenditure/revenue rises

Example

Price increases by 10%.

→ Quantity demanded falls by 30%
→ The fall in quantity is proportionately larger
→ Total revenue falls.

Therefore:

Elastic demand → price ↑ → revenue ↓

Elastic demand → price ↓ → revenue ↑


When Demand Is Inelastic

PED < 1

Quantity demanded changes by a smaller percentage than price.

Price Increase

→ Price ↑
→ Quantity demanded falls proportionately less
→ Total expenditure/revenue increases

Price Decrease

→ Price ↓
→ Quantity demanded rises proportionately less
→ Total expenditure/revenue decreases

Therefore:

Inelastic demand → price ↑ → revenue ↑

Inelastic demand → price ↓ → revenue ↓


When Demand Is Unitary Elastic

PED = 1

→ % change in price = % change in quantity demanded.

Therefore:

→ Price ↑ → quantity demanded falls by the same percentage
→ Price ↓ → quantity demanded rises by the same percentage
→ Total expenditure/revenue remains unchanged


PED and Revenue: The Key Relationship

PEDPrice increasesPrice decreases
Elastic (>1)Revenue ↓Revenue ↑
Unitary (=1)Revenue unchangedRevenue unchanged
Inelastic (<1)Revenue ↑Revenue ↓

Easy Rule

Elastic → price and revenue move in opposite directions.

Inelastic → price and revenue move in the same direction.

Unitary → revenue stays unchanged.


PED Shown Through Calculation

Example: Elastic Demand

A firm sells 1,000 units at ₹100.

Initial revenue:

→ ₹100 × 1,000
→ ₹100,000

The firm increases its price to ₹110 and quantity demanded falls to 600.

New revenue:

→ ₹110 × 600
→ ₹66,000

Therefore:

→ Revenue falls from ₹100,000 to ₹66,000.

The large fall in quantity demanded outweighs the increase in price.

→ Demand is elastic.


Example: Inelastic Demand

A firm sells 1,000 units at ₹100.

→ Initial revenue = ₹100,000

Price rises to ₹120 and quantity demanded falls to 950.

→ New revenue = ₹120 × 950
→ ₹114,000

Therefore:

→ Revenue increases from ₹100,000 to ₹114,000.

The percentage fall in quantity demanded is smaller than the percentage increase in price.

→ Demand is inelastic.


Using a Demand Diagram to Understand Revenue

On a demand diagram:

→ Price × quantity = expenditure/revenue

The rectangle formed by the price and quantity values represents the total expenditure by consumers and revenue received by firms.

When price changes:

→ The height of the rectangle changes because price changes.
→ The width changes because quantity demanded changes.
→ The overall area shows the effect on total expenditure/revenue.

For elastic demand:

→ Price increase causes a proportionately larger fall in quantity
→ Revenue rectangle becomes smaller.

For inelastic demand:

→ Price increase causes a proportionately smaller fall in quantity
→ Revenue rectangle becomes larger.


Significance of PED

PED is useful for decision-making by consumers, workers, producers/firms and governments.

Consumers

PED helps consumers understand how strongly their spending on a product may respond to price changes.

Inelastic products

→ Price ↑ → quantity demanded changes relatively little
→ Consumers may have difficulty reducing expenditure.

Example:

→ Essential medicine becomes more expensive
→ Consumers may still need to purchase similar quantities
→ Household expenditure increases.

Elastic products

→ Price ↑ → quantity demanded falls significantly
→ Consumers can switch to alternatives or postpone purchases.

Example:

→ Price of one restaurant increases significantly
→ Consumers may eat at another restaurant.


Workers

PED can help workers understand demand for the goods or services they produce, which can affect firms’ demand for labour.

For example:

→ Demand for a product ↑
→ Firms need to produce more
→ Demand for workers may ↑
→ Employment opportunities/wages may increase.

If demand for the product is highly responsive to price:

→ A price increase could cause a large fall in quantity demanded
→ Firms may reduce output
→ Demand for labour may fall.

Therefore, PED can influence employment opportunities in particular industries.


Producers and Firms

PED is especially important for pricing decisions.

If demand is elastic

A firm considering a price increase should be cautious:

→ Price ↑ → quantity demanded falls proportionately more → revenue ↓

The firm may instead consider:

→ Reducing price → quantity demanded ↑ significantly → revenue may ↑

If demand is inelastic

A firm may be able to increase price:

→ Price ↑ → quantity demanded falls proportionately less → revenue ↑

Therefore:

→ Firms need to understand PED before changing prices.

Other Business Decisions

PED can also help firms decide:

→ Pricing strategies
→ Sales promotions
→ Discounts
→ Advertising strategies
→ Whether entering a market is attractive
→ How consumers may respond to competitors’ prices


Governments

Governments can use PED when considering indirect taxes.

Taxing Products with Inelastic Demand

If demand is inelastic:

→ Tax ↑ → price ↑
→ Quantity demanded falls relatively little
→ Consumers continue buying the product
→ Government can raise significant tax revenue.

Examples may include:

→ Tobacco
→ Fuel
→ Alcohol

However, the government may also tax such products to reduce consumption, particularly where they create harmful effects.

Taxing Products with Elastic Demand

If demand is elastic:

→ Tax ↑ → price ↑
→ Quantity demanded falls significantly
→ Tax revenue may be lower than expected.

Therefore:

→ Governments need to consider PED when estimating the effects of taxation.


PED and Decision-Making: Summary

Decision-makerWhy PED matters
ConsumersHelps understand how price changes may affect spending and purchasing decisions
WorkersHelps indicate how changes in demand for products may affect output, employment and demand for labour
FirmsHelps determine whether changing price is likely to increase or decrease revenue
GovernmentHelps predict the effects of indirect taxes on consumption and tax revenue

The Complete PED Chain

Price changes → quantity demanded changes → PED determines the size of the response → consumer expenditure and firm revenue change

The most important relationships to remember are:

→ PED > 1 → Elastic → price ↑ → revenue ↓

→ PED < 1 → Inelastic → price ↑ → revenue ↑

→ PED = 1 → Unitary → price change → revenue unchanged

And for price decreases, the relationships reverse.