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EC calculations

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Important calculations

Every calculation in the specification, with exam-style examples

All the calculations in the specification, in specification order. Each one has its formula and a short exam-style example, with the working and the answer set out the way the mark scheme gives them. Each section also links to its full notes.

Setting out your answer:

  • Show your working: the working and the answer usually earn a mark each, so write down both.
  • Give the unit: put $, €, % or the item, e.g. units of capital goods, with the answer. An answer without its unit loses a mark.
  • Elasticities have no units: PED, PES and YED are just numbers, so do not add % or $.
  • Round when asked: if the question says “to two decimal places”, give two, e.g. 5.88%.
  • Keep the minus sign: e.g. a PED of –0.38 or a fiscal deficit of –$25.3bn.
  • Use the formula: writing a formula on its own earns no marks.

1.1 The market system

1.1.1 The economic problem

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Opportunity cost on a PPC

Formula:

Opportunity cost = Amount of the other good given up

Example: On a PPC, point A is 300 consumer goods and 600 capital goods, and point B is 360 consumer goods and 450 capital goods. Calculate the opportunity cost of moving from A to B. (2)

Working: 600 – 450 (1)

Answer: 150 units of capital goods (1)

1.1.3 Demand, supply and market equilibrium

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Excess demand and excess supply

Formula:

Excess demand = Quantity demanded – Quantity supplied

Excess supply = Quantity supplied – Quantity demanded

Example: Demand for a theme park’s fast-track passes is 4 200, 5 600 and 7 300 over three months, but it can supply only 15 000. Calculate the excess demand. (2)

Working: (4 200 + 5 600 + 7 300) – 15 000 (1)

Answer: 2 100 passes (1)

1.1.4 Elasticity

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Price elasticity of demand (PED)

Formula:

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

PED is negative. Between 0 and –1, demand is price inelastic. Below –1, e.g. –1.50, it is price elastic.

Example: The price of a bus pass rises by 8.0% and the number sold falls by 2.4%. Calculate, to two decimal places, the PED for bus passes. (2)

Working: –2.4% ÷ 8.0% (1)

Answer: –0.30 (1)

Total revenue and PED

Formula:

Total revenue = Price × Quantity sold

Work out total revenue before and after a price change. If price and total revenue move in opposite directions, demand is price elastic. If they move in the same direction, it is price inelastic.

Example: A bike hire firm raises its price from $15 to $18, and weekly rentals fall from 400 to 300. Calculate the new total revenue. (2)

Working: $18 × 300 (1)

Answer: $5 400 (1)

Price elasticity of supply (PES)

Formula:

PES = % change in quantity supplied ÷ % change in price

PES is positive. Between 0 and 1, supply is price inelastic. Above 1, it is price elastic.

Example: The price of olive oil rises by 6.4% and the quantity supplied rises by 2.9%. Calculate, to two decimal places, the PES for olive oil. (2)

Working: 2.9% ÷ 6.4% (1)

Answer: 0.45 (1)

Using PED or PES to find the change in quantity

Formula:

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

% change in quantity supplied = PES × % change in price

Example: The PED for a café’s sandwiches is –1.4, and the café cuts its prices by 5%. Calculate the percentage change in quantity demanded. (2)

Working: –1.4 × –5% (1)

Answer: 7% (1)

Income elasticity of demand (YED)

Formula:

YED = % change in quantity demanded ÷ % change in income

A YED greater than 1 shows a luxury good, a positive YED shows a normal good, and a negative YED shows an inferior good.

Example: Incomes rise by 4.5% and the quantity of restaurant meals demanded rises by 7.2%. Calculate, to two decimal places, the YED for restaurant meals. (2)

Working: 7.2% ÷ 4.5% (1)

Answer: 1.60 (1)

1.1.6 Externalities

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Social costs and social benefits

Formula:

Social costs = Private costs + External costs

Social benefits = Private benefits + External benefits

Example: A factory’s private costs are $4.5m a year, and its pollution causes external costs of $1.2m. Calculate the social costs. (2)

Working: $4.5m + $1.2m (1)

Answer: $5.7m (1)

1.2 Business economics

1.2.2 Productivity and division of labour

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Labour productivity

Formula:

Labour productivity = Total output ÷ Number of workers

Example: A firm with 60 workers produces 4 800 units a month. What is its monthly labour productivity? (1)
A  $80
B  80 units
C  4 860 units
D  288 000 units

Answer: B, 80 units (1)

1.2.3 Business costs, revenues and profit

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Total revenue

Formula:

Total revenue = Price × Quantity sold

To find the quantity sold from total revenue, divide total revenue by the price.

Example: A firm sells 1 200 phone cases a month at $15 each. Calculate its monthly total revenue. (2)

Working: $15 × 1 200 (1)

Answer: $18 000 (1)

Fixed, variable and total costs

Formula:

Total costs = Total fixed costs + Total variable costs

Total variable costs = Variable cost per unit × Quantity produced

Total fixed costs = Total costs – Total variable costs

Example: A bakery has fixed costs of $3 250 a month and variable costs of $0.50 a loaf. It makes 5 000 loaves a month. Calculate its total costs each month. (2)

Working: $3 250 + ($0.50 × 5 000) (1)

Answer: $5 750 (1)

Average cost

Formula:

Average cost = Total costs ÷ Quantity produced

Example: The bakery’s total costs are $5 750 a month for 5 000 loaves. Calculate the average cost of a loaf. (2)

Working: $5 750 ÷ 5 000 (1)

Answer: $1.15 (1)

Profit or loss

Formula:

Profit = Total revenue – Total costs

If the answer is negative, the firm has made a loss.

Example: Trainers sell for $64 a pair. Each pair costs $22 in materials and $47 in other costs. Calculate the profit or loss on each pair. (2)

Working: $64 – ($22 + $47) (1)

Answer: –$5, a loss of $5 a pair (1)

Percentage change

Formula:

% change = (New figure – Original figure) ÷ Original figure × 100

The same method works for any figure, e.g. profit, population, GDP or an interest rate.

Example: A firm’s profit rose from $184 000 in 2023 to $196 600 in 2025. Calculate, to two decimal places, the percentage change in profit. (2)

Working: ($196 600 – $184 000) ÷ $184 000 × 100 (1)

Answer: 6.85% (1)

1.2.6 Government intervention

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Gross pay

Formula:

Gross pay = Hourly wage rate × Hours worked

Example: A worker earns the minimum wage of $6.85 an hour and works 160 hours a month. Calculate the worker’s monthly gross pay. (2)

Working: $6.85 × 160 (1)

Answer: $1 096.00 (1)

2.1 Government and the economy

2.1.1 Economic growth

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Economic growth

Formula:

% change in GDP = (GDP this year – GDP last year) ÷ GDP last year × 100

Example: A country’s GDP rose from $845bn in 2024 to $871bn in 2025. Calculate, to two decimal places, the rate of economic growth. (2)

Working: ($871bn – $845bn) ÷ $845bn × 100 (1)

Answer: 3.08% (1)

GDP per capita

Formula:

GDP per capita = GDP ÷ Population

Example: A country has a GDP of $96 400 million and a population of 31.6 million. Calculate, to two decimal places, its GDP per capita. (2)

Working: $96 400m ÷ 31.6m (1)

Answer: $3 050.63 (1)

2.1.1 Low and stable inflation

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Rate of inflation

Formula:

Rate of inflation = (CPI this year – CPI last year) ÷ CPI last year × 100

If the CPI starts at 100 in the base year, the rise in prices since then is simply the CPI minus 100.

Example: A country’s CPI rose from 112.6 in 2024 to 117.3 in 2025. Calculate, to two decimal places, the rate of inflation in 2025. (2)

Working: (117.3 – 112.6) ÷ 112.6 × 100 (1)

Answer: 4.17% (1)

2.1.1 Low unemployment

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Unemployment rate

Formula:

Unemployment rate = Number of unemployed ÷ Total labour force × 100

If you are given the number employed, take it away from the labour force first to find the number unemployed.

Example: A country’s labour force is 18.4 million, and 17.25 million people are employed. Calculate, to two decimal places, the rate of unemployment. (2)

Working: (18.4m – 17.25m) ÷ 18.4m × 100 (1)

Answer: 6.25% (1)

2.1.1 Current account of the balance of payments

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Current account balance

Formula:

Current account balance = Total exports – Total imports

A negative answer is a current account deficit, and a positive one is a surplus.

Example: A country exports $312.5bn of goods and services and imports $348.1bn. Calculate its current account balance. (2)

Working: $312.5bn – $348.1bn (1)

Answer: –$35.6bn (1)

2.1.1 Redistribution of income

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Percentage of a total

Formula:

Percentage = Part ÷ Total × 100

Example: 2 418 000 of a country’s 15 300 000 people live in relative poverty. Calculate, to two decimal places, the percentage living in relative poverty. (2)

Working: 2 418 000 ÷ 15 300 000 × 100 (1)

Answer: 15.80% (1)

Income tax and net pay

Formula:

Net pay = Gross pay – Income tax

Income tax is only paid on the part of income in each tax band, at that band’s rate.

Example: Leila earns $38 000 a year and pays 20% income tax on $24 000 of it. Calculate her net pay. (2)

Working: $24 000 × 20% = $4 800 (1)

Answer: $38 000 – $4 800 = $33 200 (1)

2.1.2 Fiscal policy

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Tax revenue

Formula:

Tax revenue = Total of the taxes the question asks for

Direct taxes are charged on what people and firms earn, e.g. income tax and corporation tax. Indirect taxes are charged when people spend, e.g. sales tax, excise duties and customs duties.

Example: In one month, a government collects income tax of $21.7bn, sales tax of $15.2bn, corporation tax of $8.1bn, excise duties of $4.6bn and customs duties of $0.9bn. Calculate the revenue from indirect taxes. (2)

Working: $15.2bn + $4.6bn + $0.9bn (1)

Answer: $20.7bn (1)

Fiscal deficit or surplus

Formula:

Fiscal balance = Government revenue – Government expenditure

A negative answer is a fiscal deficit, and a positive one is a fiscal surplus.

Example: A government’s revenue is $412.6bn and its expenditure is $437.9bn. Calculate the fiscal deficit or surplus. (2)

Working: $412.6bn – $437.9bn (1)

Answer: –$25.3bn (1)

2.1.2 Monetary policy

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Interest

Formula:

Interest = (Amount saved or borrowed ÷ 100) × Interest rate

Example: Daniel keeps $6 500 in a savings account that pays 3.2% a year. Calculate how much interest he receives in one year. (2)

Working: ($6 500 ÷ 100) × 3.2 (1)

Answer: $208 (1)

2.2 The global economy

2.2.1 Multinational corporations

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Averages

Formula:

Average = Total of all the figures ÷ Number of figures

Example: FDI into a country was $18.6bn, $21.4bn, $19.9bn and $24.3bn over four years. Calculate, to two decimal places, the annual average value of FDI. (2)

Working: ($18.6bn + $21.4bn + $19.9bn + $24.3bn) ÷ 4 (1)

Answer: $21.05bn (1)

2.2.2 Methods of protection

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Price after a tariff

Formula:

Price after a tariff = Import price + (Import price × Tariff rate)

Example: A bicycle has an import price of $350, and a 12% tariff is added. Calculate its selling price. (2)

Working: $350 × 0.12 = $42 (1)

Answer: $350 + $42 = $392 (1)

2.2.3 Exchange rates

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Converting currencies

Formula:

Amount in foreign currency = Amount in home currency × Exchange rate

Amount in home currency = Amount in foreign currency ÷ Exchange rate

Example: A UK firm sells a machine for £24 000. The exchange rate is £1 = €1.16. Calculate the price of the machine in euros. (2)

Working: £24 000 × €1.16 (1)

Answer: €27 840 (1)

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