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Financial Maths, STD2 F1 2019 HSC 29 (Adapted)

Part of a supermarket receipt is shown.

Determine the missing values, `A` and `B`, to complete the receipt.   (2 marks)

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`$2.85`

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`text(Chocolate is the only item where GST applies.)`

`text(GST on chocolate = 0.70`

`=> text(C)text(ost of chocolate) = $7.00`
 

`:. A = 7.00 + 0.70 = $7.70`

`:. B` `= 35.25-(7.70 + 5.00 + 8.00+ 8.50 + 3.20)`
  `= $2.85`

Financial Maths, STD1 F1 2021 HSC 12 (Adapted)

A karate school runs a holiday program and charges $150 per student.

The costs of running the program are:

Karate instructor: $110 per hour

Hall hire: $52 per hour plus 10% GST.

The program runs for two hours a day for five days.

What profit does the karate school make if 20 students pay for the program?   (3 marks)

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`$1328`

Show Worked Solution

`text(Revenue) = 20 xx 150 = $3000`

`text(Cost per hour)= 110+(52 xx 1.1)= 110+57.20= $167.20`

`text(Total cost)= 2 xx 5 xx 167.20= $1672`

`:.\ text(Profit)= 3000-1672= $1328`

Financial Maths, STD2 F1 2024 HSC 8 MC (Adapted)

A bill for servicing a car is made up of:

  • $275 for parts, which includes 10% GST
  • $120 for labour, excluding GST.

The mechanic needs to add 10% GST onto the labour charge.

How much GST does the customer pay in total?

  1. $27.50
  2. $30.00
  3. $35.50
  4. $37.00
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\(D\)

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\(\text{Let } X = \text{ parts cost ex-GST}\)

  \(X + X \times 0.1\) \(= 275\)
  \(1.1X\) \(= 275\)
  \(X\) \(= 250\)

 
\(\text{Total GST} = 0.1(250 + 120) = \$37.00\)

\(\Rightarrow D\)

♦ Mean mark 43%.

Financial Maths, STD2 F1 2023 HSC 6 MC (Adapted)

An item was purchased for a price of $660, including 10% GST.

What is the amount of GST included in the price?

  1. $6.00
  2. $6.60
  3. $60.00
  4. $66.00
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`=> C`

Show Worked Solution

`text{Let}\ C =\ text{Original cost}`

`C + 0.1 × C` `= 660`
`1.1C` `= 660`
`C` `= 660 / 1.1`
  `= $600`

 
`:.\ \text{GST} = 660-600 = $60`

`=> C`

♦ Mean mark 4

Financial Maths, STD2 F1 2007 HSC 6 MC (Adapted)

The price of a book is $33.00, which includes 10% GST.

What is the amount of GST included in this price?

  1. $2.75
  2. $3.00
  3. $3.50
  4. $30.00
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`B`

Show Worked Solution

`text(Book costs $33.00 incl. GST)`

`text(Let)\ C = text(original cost)`

`C + 10\% × C` `= 33`
`1.1C` `= 33`
`C` `= 30`

 

`:.\text(GST)` `= 33.00-30.00`
  `= $3.00`

 
`=> B`