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v1 Financial Maths, STD2 F1 2006 HSC 22 MC

This income tax table is used to calculate Daniel’s tax payable.

Taxable income Tax payable
$0 − $11 000 Nil
$11 001 − $42 400 20 cents for each $1 over $11 000
$42 401 − $78 800 $6280 plus 33 cents for each $1 over $42 400
$78 801 − $108 400 $18 292 plus 37 cents for each $1 over $78 800
$108 401 and over $31 316 plus 48 cents for each $1 over $108 400

Daniel’s taxable income increases from $45 000 to $80 000.

What percentage of his increase will he pay in additional tax?

  1. `text(22.7%)`
  2. `text(25.5%)`
  3. `text(33.1%)`
  4. `text(40.6%)`
Show Answers Only

`C`

Show Worked Solution
`text(Tax on $45 000)` `= 6280 + 0.33 xx (45\ 000-42\ 400)`
  `= 6280 + 0.33 xx 2600`
  `= 6280 + 858`
  `= $7138`
`text(Tax on $80 000)` `= 18\ 292 + 0.37 xx (80\ 000-78\ 800)`
  `= 18\ 292 + 0.37 xx 1200`
  `= 18\ 292 + 444`
  `= $18\ 736`
`:.\ text(Extra tax)` `= 18\ 7360-7138`
  `= $11\ 598`

`:.\ \text{% of income increase paid in tax}`

`= (11\ 598) / (35\ 000) xx 100`

`=33.14%`

`=> C`

Filed Under: Tax and Percentage Increase/Decrease (Std 2-X) Tagged With: Band 6, num-title-ct-corea, num-title-qs-hsc, smc-4331-50-Tax tables, smc-831-10-Tax Tables

Financial Maths, SMB-013

The table shows the income tax rates for the 2022-23 financial year.

\begin{array} {|l|l|}
\hline
\rule{0pt}{2.5ex}\textit{    Taxable income}\rule[-1ex]{0pt}{0pt} & \textit{    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{19 cents for each \$1 over \$18 200}\\
\hline
\rule{0pt}{2.5ex}\text{\$45 001 – \$120 000}\rule[-1ex]{0pt}{0pt} & \text{\$5092 plus 32.5 cents for each \$1 over \$45 000}\\
\hline
\rule{0pt}{2.5ex}\text{\$120 001 – \$180 000}\rule[-1ex]{0pt}{0pt} & \text{\$29 467 plus 37 cents for each \$1 over \$120 000}\\
\hline
\rule{0pt}{2.5ex}\text{\$180 001 and over}\rule[-1ex]{0pt}{0pt} & \text{\$51 667 plus 45 cents for each \$1 over \$180 000}\\
\hline
\end{array}

Boonie is a professional cricketer and has a gross income of $145 000. During the financial year, he has allowable tax deductions of $1300 for cricket bats and pads.

What is Boonie's total amount of tax payable for the financial year?  (3 marks)

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

Show Answers Only

`$38\ 236`

Show Worked Solution

`text(Taxable income)\ =145\ 000-1300=$143\ 700`

`text{Tax payable}`

`= 29\ 467 + 0.37 (143\ 700-120\ 000)`

`= 29\ 467 + 8769`

`= $38\ 236`

Filed Under: Earning and Spending Money Tagged With: num-title-ct-corea, smc-4331-50-Tax tables

Financial Maths, SMB-012 MC

\begin{array} {|l|l|}
\hline
\rule{0pt}{2.5ex}\textit{    Taxable income}\rule[-1ex]{0pt}{0pt} & \textit{    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{19 cents for each \$1 over \$18 200}\\
\hline
\rule{0pt}{2.5ex}\text{\$45 001 – \$120 000}\rule[-1ex]{0pt}{0pt} & \text{\$5092 plus 32.5 cents for each \$1 over \$45 000}\\
\hline
\rule{0pt}{2.5ex}\text{\$120 001 – \$180 000}\rule[-1ex]{0pt}{0pt} & \text{\$29 467 plus 37 cents for each \$1 over \$120 000}\\
\hline
\rule{0pt}{2.5ex}\text{\$180 001 and over}\rule[-1ex]{0pt}{0pt} & \text{\$51 667 plus 45 cents for each \$1 over \$180 000}\\
\hline
\end{array}

Using the tax table, what is the tax payable on $47 580?

  1. $5721.20
  2. $5930.50
  3. $15 463.50
  4. $20 555.50
Show Answers Only

`B`

Show Worked Solution

`text(Tax Payable)`

`= 5092 + 0.325 (47\ 580-45\ 000)`

`= 5092 + 838.50`

`= 5930.50`
 

`=>  B`

Filed Under: Earning and Spending Money Tagged With: num-title-ct-corea, smc-4331-50-Tax tables

Financial Maths, STD2 F1 2018 HSC 30b

Last year, Luke’s taxable income was `$87\ 000` and the tax payable on this income was `$19\ 822`. This year, Luke’s taxable income has increased by `$16\ 800`.

  1. Use the table to calculate the tax payable by Luke this year.  (2 marks)
     

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

  2. How much extra money will Luke have this year, after paying tax, as a result of the increase in his taxable income? Ignore the Medicare levy.  (2 marks)

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

Show Answers Only
  1. `$26\ 038`
  2. `$10\ 584`
Show Worked Solution

i.   `text(Taxable income) = 87\ 000 + 16\ 800 = $103\ 800`

`:.\ text(Tax payable)` `= 19\ 822 + 0.37 (103\ 800-87\ 000)`
  `= $26\ 038`

 

ii.   `text(Net income from last year)`

`= 87\ 000-19\ 822`

`= $67\ 178`
 

`text(Net income in current year)`

`= 103\ 800-26\ 038`

`= $77\ 762`
 

`:.\ text(Extra money)` `= 77\ 762-67\ 178`
  `= $10\ 584`

Filed Under: Earning and Spending Money, Tax and Percentage Increase/Decrease (Std 1), Tax and Percentage Increase/Decrease (Std 2), Taxation (Std2-2027) Tagged With: Band 4, num-title-ct-corea, num-title-qs-hsc, smc-1125-10-Tax Tables, smc-4331-50-Tax tables, smc-6277-10-Tax Tables, smc-831-10-Tax Tables

Financial Maths, STD2 F1 2016 HSC 26f

Theo is completing his tax return. He has a gross salary of $82 521 and income from a rental property totalling $10 920. He is claiming $13 420 in allowable deductions.

  1. Determine Theo’s taxable income.  (1 mark)

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

  2. Using the tax table below, calculate Theo’s tax payable.  (2 marks)

\begin{array} {|l|l|}
\hline
\rule{0pt}{2.5ex}\textit{    Taxable income}\rule[-1ex]{0pt}{0pt} & \textit{    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 – \$37 000}\rule[-1ex]{0pt}{0pt} & \text{19 cents for each \$1 over \$18 200}\\
\hline
\rule{0pt}{2.5ex}\text{\$37 001 – \$80 000}\rule[-1ex]{0pt}{0pt} & \text{\$3572 plus 32.5 cents for each \$1 over \$37 000}\\
\hline
\rule{0pt}{2.5ex}\text{\$80 001 – \$180 000}\rule[-1ex]{0pt}{0pt} & \text{\$17 547 plus 37 cents for each \$1 over \$80 000}\\
\hline
\rule{0pt}{2.5ex}\text{\$180 001 and over}\rule[-1ex]{0pt}{0pt} & \text{\$54 547 plus 45 cents for each \$1 over \$180 000}\\
\hline
\end{array}

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

  1. In addition to the above tax, Theo must also pay a Medicare levy of $1600.42
  2. Theo has already paid $20 525 as Pay As You Go (PAYG) tax.
  3. Should Theo receive a tax refund or will he owe more tax? Justify your answer with calculations.  (2 marks)

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

Show Answers Only
  1. `$80\ 021`
  2. `$17\ 554.77`
  3. `$1369.81\ text(refund)`
Show Worked Solution

i.   `text(Taxable income)`

`= 82\ 521 + 10\ 920-13\ 420`

`= $80\ 021`

 

ii.   `text(Tax payable)`

`= 17\ 547 + (80\ 021-80\ 000) xx 0.37`

`= $17\ 554.77`

 

iii.   `text(Total tax payable)`

`= 17\ 554.77 + 1600.42`

`= $19\ 155.19`
 

`text(Tax paid > tax payable)`

`:.\ text(Refund)` `= 20\ 525-19\ 155.19`
  `= $1369.81`

Filed Under: Earning and Spending Money, FM3 - Taxation, Tax and Percentage Increase/Decrease (Std 1), Tax and Percentage Increase/Decrease (Std 2), Taxation (Std2-2027) Tagged With: Band 4, num-title-ct-corea, num-title-qs-hsc, smc-1125-10-Tax Tables, smc-1125-40-Medicare Levy, smc-4331-50-Tax tables, smc-4331-55-PAYG, smc-6277-10-Tax Tables, smc-6277-20-Medicare Levy, smc-831-10-Tax Tables, smc-831-40-Medicare Levy

Financial Maths, STD2 F1 2006 HSC 22 MC

This income tax table is used to calculate Evelyn’s tax payable.
 

Evelyn’s taxable income increases from $50 000 to $80 000.

What percentage of her increase will she pay in additional tax?

  1. `text(15.25%)`
  2. `text(40.7%)`
  3. `text(43.5%)`
  4. `text(52%)`
Show Answers Only

`B`

Show Worked Solution
`text(Tax on $50 000)` `= 2500 + 0.35 xx (50\ 000-45\ 000)`
  `= 2500 + 1750`
  `= $4250`
`text(Tax on $80 000)` `= 11\ 250 + 0.52 xx (80\ 000-70\ 000)`
  `= 11\ 250 + 5200`
  `= $16\ 450`
`:.\ text(Extra tax)` `= 16\ 450-4250`
  `= $12\ 200`

 

`:.\ text(% Increase paid in tax)`

`= (12\ 200) / (30\ 000) xx 100`

`=\ text(40.66… %)`
 

`=>  B`

Filed Under: Earning and Spending Money, FM3 - Taxation, Tax and Percentage Increase/Decrease (Std 2), Taxation (Std2-2027) Tagged With: Band 6, num-title-ct-corea, num-title-qs-hsc, smc-4331-50-Tax tables, smc-6277-10-Tax Tables, smc-831-10-Tax Tables

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