3.4.10 (HL)—Taxation calculations

Syllabus
First assessment 2022
Objective
3.4.10
Level
HL

HL taxation calculations use expenditure, total tax and income consistently

HL only

Indirect tax paid equals the tax rate multiplied by taxable expenditure. Total tax is the sum of the stated tax liabilities, and average tax rate=total tax/income×100\text{average tax rate}=\text{total tax}/\text{income}\times100.

Convert percentage rates to decimals, apply each rate only to its stated base, add tax amounts, then divide total tax by total income—not by expenditure—to find the average tax rate.

Label every rate and base before calculating; distinguish an indirect tax on spending from direct tax on income and from a marginal rate on an additional income band.

Example

A household spends 12,000ongoodssubjecttoa512,000 on goods subject to a 5% indirect tax, so indirect tax paid is12,000\times0.05=600.Ifitalsopays600. If it also pays3,400 direct tax, total tax is 4,000.Withincomeof4,000. With income of40,000, its average tax rate is 4,000/4,000/40,000\times100=10%$.

Use the convention stated in the data: if expenditure is tax-inclusive rather than pre-tax, multiplying it by the quoted rate may not recover the embedded tax. Do not apply a marginal rate to all income.