Suppose the income tax schedule in Australia is:IncomeTax on this income0-$20,000None$20,000 and above30 cents per dollar of income over $20,000 Your income in 2022 was $30,000. Inflation between 2022 and 2023 is 10% and your pre-tax income rises between 2022 and 2023 at the inflation rate.Group of answer choicesYour after-tax income increases by less than 10%Your after-tax income is unchanged.Your after-tax income increases by 10%Your after-tax income increases by more than 10%
Question
Suppose the income tax schedule in Australia is:IncomeTax on this income0-20,000 and above30 cents per dollar of income over 30,000. Inflation between 2022 and 2023 is 10% and your pre-tax income rises between 2022 and 2023 at the inflation rate.Group of answer choicesYour after-tax income increases by less than 10%Your after-tax income is unchanged.Your after-tax income increases by 10%Your after-tax income increases by more than 10%
Solution
Your after-tax income increases by less than 10%.
Here's why:
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In 2022, your income was 20,000 is tax-free, and the remaining 10,000 * 0.30 = 30,000 - 27,000.
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In 2023, your pre-tax income rises at the inflation rate of 10%. So, your income in 2023 is 33,000.
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Again, the first 13,000 is taxed at 30%. So, your tax in 2023 is 3,900. Your after-tax income in 2023 is 3,900 = $29,100.
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The increase in your after-tax income from 2022 to 2023 is 27,000 = 2,100 / $27,000 * 100% = 7.78%, which is less than 10%.
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