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1.05 Goods and Services Tax (GST), Appreciation and Inflation

Worksheet
Percentages without a calculator
1

Find the following percentages:

a
10\% of \$41.90
b
10\% of \$219.70
c
10\% of \$874.48
d
5\% of \$30.60
e
5\% of \$410
f
5\% of \$148.60
g
1\% of \$37.90
h
1\% of \$388.80
i
1\% of \$14.49
2

A salesperson earns a 12\% commission on their total sales each week. In one week, their sales amounted to \$830.

a

Find 10\% of their total sales.

b

Find 1\% of their total sales.

c

Find 2\% of their total sales.

d

Hence, find the total commission they made that week.

3

A telephone marketer earns a 16\% commission on their sales each week. In one week, their sales amounted to \$560.

a

Find 10\% of their total sales.

b

Find 1\% of their total sales.

c

Find 6\% of their total sales.

d

Hence, find the total commission they made this week.

4

Answer the following questions in order to find 30\% of 5 hours without a calculator:

a

How many minutes are there in 5 hours?

b

What is 10\% of 300 minutes?

c

Hence, find 30\% of 300 minutes.

5

Answer the following questions in order to find 55\% of 10 hours without a calculator:

a

How many minutes are there in 10 hours?

b

What is 50\% of 600 minutes?

c

What is 5\% of 600 minutes?

d

Hence, find 55\% of 600 minutes.

Goods and services tax (GST)
6

Calculate the sales price, including GST, for an item with an original price of \$20.

7

Calculate the GST on an item with a sales price (including GST) of:

a

\$40

b

\$83.90

8

Calculate the 10\% GST applicable on the following original prices:

a

\$80

b

\$39.50

c

\$35

d

\$77.80

9

A shopping bill costs \$109 including GST. This bill includes fruits and vegetables amounting to \$62. If fruits and vegetables do not incur GST, calculate:

a
The cost of the other items on the bill.
b
The cost of the other items prior to adding GST.
10

Calculate the price of the following items before GST was added.

a
The sales price of a dress, including GST, is \$40.
b
After 10\% GST was added, the price of an iPod was \$238.
11

Garry received a bill of \$77 for consultation and \$17 for herbal supplements from a medical professional. The bill has not included the GST payable for this service. If GST is only applied to the consultation fee, what is the total bill that Garry must pay?

12

Mark was given an invoice, but some of the amounts were left blank:

QtyUnit Price (excl. GST)GST amountUnit Price (incl. GST)Total
Chrome basin tap165.006.5071.5071.50
Washers47.900.798.6934.76
Chrome shower head234.00
Chrome basin piping313.86
Installation1250.0025.00275.00275.00
a
Calculate the total amount of GST.
b
Calculate the total amount payable.
13

Is the tax on this receipt GST?

Explain your answer.

14

Calculate the amount of GST paid on the receipt shown.

Note: The prices shown already include GST.

Inflation and appreciation
15

The price of pens in 1994 was \$4. If the value inflated at an average rate of 3.6\% per year, what would the price of pens have been in 2005?

16

A basket of goods was valued at \$43.70 in January 2011. The inflation rate for the year was 8\%. What is the expected cost of the basket of goods in January 2012?

17

A sports club membership currently costs \$332. Calculate the cost in 6 years’ time if the inflation rate is on average 2.6\% per annum.

18

A house was valued 5 years ago to be worth \$632\,000. Its value appreciated at 6.4\% p.a. What is its appreciated value, correct to the nearest dollar?

19

Sean deposits \$4000 into a new savings account. The amount increased by 3.3\% each year for 4 years. Find the new value of the deposit after appreciation.

20

What will be the value of \$5 in 15 years time if the inflation rate is:

a

2.1\%

b

4.1\%

21

A hat costs \$35.50. Find its price 9 years ago if the average inflation rate was 3.7\% per annum.

22

A product is worth \$20 today. Find the value of the product 7 years ago if the inflation rate was:

a

2.6\% per annum.

b

4.1\% per annum.

23

The rate of inflation on Tom's salary was a constant 1.9\% per annum over the past 5 years. Tom currently earns \$59\,000 per annum. Find what Tom's salary was 5 years ago, to the nearest dollar.

Depreciation
24

The value of a car depreciated by 8\% this year. The original value of the car was \$9000.

a

By how much did the car depreciate by?

b

What is the current value of the car?

25

Frank purchased a \$3900 television that depreciates at the rate of 18\% per annum.

a

What will be the depreciation over the first year?

b

What will the value of the television be at the end of the first year?

c

What will the value of the television be after 5 years?

26

A stove currently selling for \$500 depreciates at 17\% per annum.

a

What percentage of the original value of the stove will remain after 1 year?

b

How much of the original value will remain after one year?

c

What will the value of the stove be after 4 years?

27

The housing market is in a downward trend and the value of houses are depreciating at a rate of 0.9\% per annum. If this trend continues, what will a house currently valued at \$750\,000 be valued at in 2 years time?

28

Fred bought three video games in 2015 for \$19.95 each and sold them in 2018. The video games depreciated in value at a rate of 20\% per annum.

Calculate the total loss Fred made in 2018 after selling all three games.

29

A house was originally valued at \$980\,000. Over the next 5 years, the house appreciated by 8\% p.a. Then the property market crashed and the house depreciated by 4\% p.a. for the next 6 years.

Find the value of the house 7 years after it was originally valued.

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Outcomes

1.1.1.6

apply percentage increase or decrease in various contexts, e.g. determining the impact of inflation on costs and wages over time, calculating percentage mark-ups and discounts, calculating GST, calculating profit or loss in absolute and percentage terms, and calculating simple and compound interest

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