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Financial Maths, STD1 F1 2025 HSC 19 v2

At the end of the 2024-2025 financial year, Hannah had a gross annual salary of \(\$78\,500\). She had allowable tax deductions totalling $2,300 for work-related expenses.

\(\begin{array} {|l|l|}\hline \rule{0pt}{2.5ex}\text{ Taxable income}\rule[-1ex]{0pt}{0pt} & \text{ Tax payable}\\\hline \rule{0pt}{2.5ex}\text{\$0 – \$18 200}\rule[-1ex]{0pt}{0pt} & \text{Nil}\\\hline \rule{0pt}{2.5ex}\text{\$18 201 – \$45 000}\rule[-1ex]{0pt}{0pt} & \text{16 cents for each \$1 over \$18 200}\\\hline\rule{0pt}{2.5ex}\text{\$45 001 – \$135 000}\rule[-1ex]{0pt}{0pt} & \text{\$4288 plus 30 cents for each \$1 over \$45 000}\\\hline\rule{0pt}{2.5ex}\text{\$135 001 – \$190 000}\rule[-1ex]{0pt}{0pt} & \text{\$31 288 plus 37 cents for each \$1 over \$135 000}\\\hline\rule{0pt}{2.5ex}\text{\$190 001 and over}\rule[-1ex]{0pt}{0pt} & \text{\$51 638 plus 45 cents for each \$1 over \$190 000}\\\hline\end{array}\)


The Medicare levy is 2% of taxable income. During the year, Hannah paid $1,250 per month in Pay As You Go (PAYG) tax.

Determine whether Hannah will receive a tax refund or owe money to the Australian Taxation Office. Justify your answer with calculations.    (4 marks)

--- 7 WORK AREA LINES (style=lined) ---

Show Answers Only

\(\text{Hannah owes}\ \$172\ \text{to the ATO.}\)

Show Worked Solution

\(\text{Taxable income}=78\,500-2300=\$76\,200\)

\(\text{Tax payable}\) \(=4288+0.30\times (76\,200-45\,000)\)
  \(=4288+0.30\times 31\,200\)
  \(=4288+9360\)
  \(=\$13\,648\)

 
\(\text{Medicare levy}=0.02\times 76\,200=\$1524\)

\(\text{Total tax + Medicare}=13\,648+1524=\$15\,172\)

\(\text{Total PAYG paid}=1250\times 12=\$15\,000\)

\(\therefore\ \text{Hannah owes}\ \ 15\,172-15\,000=\$172\ \ \text{to the ATO.}\)

Filed Under: Tax and Percentage Increase/Decrease (Std 1-X) Tagged With: Band 5, smc-6967-10-Tax Tables, smc-6967-40-Medicare

Financial Maths, STD1 F1 2025 HSC 19 v1

At the end of the 2024-2025 financial year, Priya's taxable income was $92 400.

  1. The table shows the income tax rate for Australian residents for the 2024-2025 financial year.

\begin{array} {|l|l|}
\hline
\rule{0pt}{2.5ex}\text{    Taxable income}\rule[-1ex]{0pt}{0pt} & \text{    Tax payable}\\
\hline
\rule{0pt}{2.5ex}\text{\$0 – \$18 200}\rule[-1ex]{0pt}{0pt} & \text{Nil}\\
\hline
\rule{0pt}{2.5ex}\text{\$18 201 – \$45 000}\rule[-1ex]{0pt}{0pt} & \text{16 cents for each \$1 over \$18 200}\\
\hline
\rule{0pt}{2.5ex}\text{\$45 001 – \$135 000}\rule[-1ex]{0pt}{0pt} & \text{\$4288 plus 30 cents for each \$1 over \$45 000}\\
\hline
\rule{0pt}{2.5ex}\text{\$135 001 – \$190 000}\rule[-1ex]{0pt}{0pt} & \text{\$31 288 plus 37 cents for each \$1 over \$135 000}\\
\hline
\rule{0pt}{2.5ex}\text{\$190 001 and over}\rule[-1ex]{0pt}{0pt} & \text{\$51 638 plus 45 cents for each \$1 over \$190 000}\\
\hline
\end{array}

  1. Using the table, calculate Priya's tax payable.   (3 marks)

    --- 6 WORK AREA LINES (style=lined) ---

  2. The Medicare levy is 2% of taxable income.
  3. Calculate the Medicare levy payable by Priya.   (1 mark)

    --- 3 WORK AREA LINES (style=lined) ---

Show Answers Only

a.    \(\$18\,508\)

b.    \(\$1848\)

Show Worked Solution

a.    \(\text{Calculate tax payable:}\)

\(\text{Tax payable}\) \(=4288+0.30\times (92\,400-45\,000)\)
  \(=4288+0.30\times 47\,400\)
  \(=4288+14\,220\)
  \(=\$18\,508\)

 

b.    \(\text{Calculate Medicare levy:}\)

\(\text{Medicare levy}=0.02\times 92\,400=\$1848\)

Filed Under: Tax and Percentage Increase/Decrease (Std 1-X) Tagged With: Band 4, Band 5, smc-6967-10-Tax Tables, smc-6967-40-Medicare

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