The first $8,000 of income is tax free and income above $8,000 is taxed at 25%. Asad earns $16,000 and Noor earns $40,000. Show that the tax is progressive.
- Asad: tax = 25% × ($16,000 − $8,000) = $2,000, which is 2,000 ÷ 16,000 × 100 = 12.5% of his income.
- Noor: tax = 25% × ($40,000 − $8,000) = $8,000, which is 8,000 ÷ 40,000 × 100 = 20% of her income.
- The higher earner pays a larger percentage of income in tax.
Answer: The average rate of tax rises from 12.5% to 20% as income rises, so the tax is progressive.