Income tax is 0% on the first $8,000 of income, 10% on the next $12,000 and 30% on all income above $20,000. A person earns $40,000. Find the marginal and average rates of tax.
- Tax on the first $8,000 = $0. Tax on the next $12,000 = 10% × 12,000 = $1,200.
- Income above $20,000 = 40,000 − 20,000 = $20,000. Tax on it = 30% × 20,000 = $6,000.
- Total tax = 0 + 1,200 + 6,000 = $7,200. Average rate = 7,200 ÷ 40,000 × 100 = 18%.
- An extra $1 of income would be taxed at 30%, so the marginal rate is 30%.
Answer: Marginal rate = 30%, average rate = 18%. The marginal rate is above the average rate, so the tax is progressive.