Question

these prices include gst. calculate the amount of gst that is included in each:

1. \\$276.00
2. \\$8.74
3. \\$1159.20
4. \\$49.220

answer the following questions:

1. a tv is advertised at \\$674.99. calculate its pre-gst value.
2. how much gst did laura pay on her pie that cost her \\$5.80?
3. beatrice bought a new bike that cost her \\$1060. how much gst was included in this price?
4. an electrician charges greg \\$450 plus gst. how much does greg have to pay the electrician?
5. chloe buys a wheelbarrow for \\$259 including gst. how much of this price is gst?
6. a haircut cost fiona \\$26. what was the pre-gst price?
7. a hardware store has 4 l of paint priced at \\$132 excluding gst. how much will the paint cost you at the counter?
8. a store owner buys chairs at a cost of \\$455. they want to make a profit of 12% and must charge gst. what price should they put on the chairs?

Explanation:

Calculate GST for Questions 9 to 12

Using a standard GST rate of \(15\%\) (New Zealand/Australian context common in "Walkematics" worksheets), the GST component of a GST-inclusive price is calculated by dividing the price by \(23\) (since \(\text{GST} = \text{Price} \times \frac{0.15}{1.15} = \text{Price} \times \frac{3}{23}\)).

• Question 9: \(\$276.00 \times \frac{3}{23} = \$36.00\)
• Question 10: \(\$8.74 \times \frac{3}{23} = \$1.14\)
• Question 11: \(\$1159.20 \times \frac{3}{23} = \$151.20\)
• Question 12: \(\$49\,220 \times \frac{3}{23} = \$6420.00\)

Solve Questions 13 to 16

• Question 13: Pre-GST value of \(\$674.99\) (inclusive):

$$ \text{Pre-GST} = \frac{\$674.99}{1.15} = \$586.95 $$

• Question 14: GST on a \(\$5.80\) pie (inclusive):

$$ \text{GST} = \$5.80 \times \frac{3}{23} = \$0.76 $$

• Question 15: GST included in \(\$1060\) (inclusive):

$$ \text{GST} = \$1060 \times \frac{3}{23} \approx \$138.26 $$

• Question 16: Total price for \(\$450\) plus GST (exclusive):

$$ \text{Total} = \$450 \times 1.15 = \$517.50 $$

Solve Questions 17 to 20

• Question 17: GST included in \(\$259\) (inclusive):

$$ \text{GST} = \$259 \times \frac{3}{23} = \$33.78 $$

• Question 18: Pre-GST price of a \(\$26\) haircut (inclusive):

$$ \text{Pre-GST} = \frac{\$26}{1.15} \approx \$22.61 $$

• Question 19: Total price for \(\$132\) excluding GST (exclusive):

$$ \text{Total} = \$132 \times 1.15 = \$151.80 $$

• Question 20: Cost is \(\$455\). Profit of \(12\%\) on cost: \(\$455 \times 1.12 = \$509.60\). Adding \(15\%\) GST:

$$ \text{Selling Price} = \$509.60 \times 1.15 = \$586.04 $$

Answer:

Question 9

\(\$36.00\)

Question 10

\(\$1.14\)

Question 11

\(\$151.20\)

Question 12

\(\$6420.00\)

Question 13

\(\$586.95\)

Question 14

\(\$0.76\)

Question 15

\(\$138.26\)

Question 16

\(\$517.50\)

Question 17

\(\$33.78\)

Question 18

\(\$22.61\)

Question 19

\(\$151.80\)

Question 20

\(\$586.04\)