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A bill for servicing a car is made up of: - $242 for parts, which includes 10% GST - $100 for labour, excluding GST - HSC - SSCE Mathematics Standard - Question 8 - 2024 - Paper 1

Question 8

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 lab... show full transcript

Worked Solution & Example Answer:A bill for servicing a car is made up of: - $242 for parts, which includes 10% GST - $100 for labour, excluding GST - HSC - SSCE Mathematics Standard - Question 8 - 2024 - Paper 1

Step 1

Calculate GST on Parts

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Answer

The parts cost is $242, which includes 10% GST. To find the value of the GST included, we can use the formula:

ext{GST on Parts} = rac{ ext{Total Parts} imes ext{GST Rate}}{1 + ext{GST Rate}} = rac{242 imes 0.10}{1 + 0.10} = rac{242 imes 0.10}{1.10} \ = rac{24.2}{1.10} = 22.00

Thus, the GST on parts is $22.00.

Step 2

Calculate GST on Labour

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Answer

The labour charge is $100. The GST at 10% is calculated simply as:

ext{GST on Labour} = 100 imes 0.10 = 10.00

Thus, the GST on labour is $10.00.

Step 3

Total GST Paid by Customer

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Answer

To find the total GST that the customer pays, add the GST on parts and the GST on labour:

ext{Total GST} = ext{GST on Parts} + ext{GST on Labour} = 22.00 + 10.00 = 32.00

Thus, the total GST paid by the customer is $32.00.

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