smc-831-20-GST

Financial Maths, STD2 F1 2024 HSC 8 MC

A bill for servicing a car is made up of:

- $242 for parts, which includes 10% GST
- $100 for labour, excluding GST.

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

How much GST does the customer pay in total?

$22.00
$24.20
$32.00
$34.20

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$C$

Show Worked Solution

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

	$X+X \times 0.1$	$=242$
	$1.1X$	$=242$
	$X$	$=220$

$\text{Total GST}=0.1(220+100)=\$ 32.00$

$\Rightarrow C$

♦ Mean mark 43%.

Financial Maths, STD2 F1 2023 HSC 30

A receipt from a supermarket shows a total of $124.87. The GST shown on the receipt is $3.86.

GST, at a rate of 10%, is only charged on some items.

What was the value of the items which did NOT have GST charged? (3 marks)

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`$82.41`

Show Worked Solution

`text{Let}\ X=\ text{cost of goods that attract GST (before GST added)}`

`10% xx X`	`=3.86`
`X`	`=$38.60\ \ text{(before GST added)}`

`text{Items with no GST}=124.87-38.60-3.86=$82.41`

♦ Mean mark 46%.

Financial Maths, STD2 F1 2023 HSC 6 MC

An item was purchased for a price of $880, including 10% GST.

What is the amount of GST included in the price?

$8.00
$8.80
$80.00
$88.00

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`=>C`

Show Worked Solution

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

`C+0.1 xx C`	`=880`
`1.1C`	`=880`
`C`	`=880/1.1`
	`=$800`

`:.\ text{GST}\ =800xx0.1=$80`

`=>C`

♦ Mean mark 41%.

Financial Maths, STD1 F1 2021 HSC 12

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

The costs of running the program are:

Dance teacher: $110 per hour

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

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

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

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

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`$1328`

Show Worked Solution

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

`text(Cost per hour)`	`= 110 + (52 + \text{GST})`
	`= 110 + 52 xx 1.1= $167.20`

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

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

Financial Maths, STD2 F1 2019 HSC 29

Part of a supermarket receipt is shown.

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

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

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`$9.00`

Show Worked Solution

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

♦♦ Mean mark 25%.

`text(GST on chocolate = 0.70`

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

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

`:. B= 36.25-(7.70 + 5.00 + 8.50 + 3.20 + 2.85)= $9.00`

Financial Maths, STD2 F1 EQ-Bank 38

Alex is buying a used car which has a sale price of $13 380. In addition to the sale price there are the following costs:

Stamp Duty for this car is calculated at $3 for every $100, or part thereof, of the sale price.
Calculate the Stamp Duty payable. (1 mark)

--- 1 WORK AREA LINES (style=lined) ---
Alex wishes to take out comprehensive insurance for the car for 12 months.

The cost of comprehensive insurance is calculated using the following:

Find the total amount that Alex will need to pay for comprehensive insurance. (3 marks)

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Alex has decided he will take out the comprehensive car insurance rather than the less expensive non-compulsory third-party car insurance.
What extra cover is provided by the comprehensive car insurance? (1 mark)

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

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a. `$402`

b. `$985.74`

c. `text(Comprehensive insurance also covers Alex for damage to his own car.)`

Show Worked Solution

a. `($13\ 380)/100 = 133.8`

♦♦♦ Mean mark (a) 12%
IMPORTANT: “or part thereof ..” requires students to round up to 134 to get the right multiple of $3 for their calculation.

`text(Stamp duty)= 134 xx $3= $402`

b. `text(Base rate)= $845`

`text(FSL) =\ text(1%) xx 845 = $8.45`

`text(Stamp)`	`=\ text(5.5%) xx(845 + 8.45)`
	`= 46.9397…`
	`= $46.94\ text{(nearest cent)}`

`text(GST)= 10 text(%) xx(845 + 8.45)= 85.345= $85.35`

`:.\ text(Total cost)`	`= 845 + 8.45 + 46.94 + 85.35`
	`= $985.74`

♦ Mean mark (c) 34%.

c. `text(Comprehensive insurance covers Alex for damage done)`

`text{to his own car as well.}`

Financial Maths, STD2 F1 2015 HSC 15 MC

A camera costs $449, including 12% GST.

What is the price of the camera without GST, correct to the nearest dollar?

`$395`
`$401`
`$437`
`$503`

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`B`

Show Worked Solution

`text(Let)\ C\ text(= cost of camera ex-GST)`

♦ Mean mark 36%.

`C + text(12%)C`	`= $449`
`1.12C`	`= 449`
`:. C`	`= 449/1.12`
	`= $400.89…`

`⇒ B`

Financial Maths, STD2 F1 2004 HSC 17 MC

Rita purchased a camera for $880 while on holidays in Australia. This price included 10% GST. When she left Australia she received a refund of the GST.

What was Rita’s refund?

$80
$88
$792
$800

Show Answers Only

`A`

Show Worked Solution

`text(Let)\ C = text(cost before GST)`

`880`	`= C + text(10%) C`
`1.1C`	`= 880`
`C`	`= $800`

`:.\ text(GST)=10 text(%) xx 800= $80`

`=> A`

Financial Maths, STD2 F1 2007 HSC 6 MC

The price of a CD is $22.00, which includes 10% GST.

What is the amount of GST included in this price?

$2.00
$2.20
$19.80
$20.00

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`A`

Show Worked Solution

`text(CD costs $22.00 incl. GST`

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

`C + text(10%) xx C`	`= 22`
`1.1C`	`= 22`
`C`	`= 20`

`:.\ text(GST)= 22.00-20.00= $2.00`

`=> A`

Financial Maths, STD2 F1 2010 HSC 2 MC

A new phone was purchase for $725 which included 10% GST.

What was the price of the phone without GST, correct to the nearest cent?

$65.91
$72.50
$652.50
$659.09

Show Answers Only

`D`

Show Worked Solution

♦ Mean mark 44%.
COMMENT: A surprise this was so poorly answered. Ensure you understand this tax!

`text(Phone price)\ +\ text(10% GST)`	`=725`
`text(110%)\ xx\ text(Phone price)`	`=725`
`:.\ text(Phone price)`	`=725/1.1`
	`=$659.09`

`=> D`

	\(X+X \times 0.1\)	\(=242\)
	\(1.1X\)	\(=242\)
	\(X\)	\(=220\)