SSCE HSC Mathematics Standard Rates and ratios: A bill for servicing a car is ma

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 included in parts

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Answer

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

ext{Cost excluding GST} = rac{ ext{Total cost}}{1 + ext{GST rate}} = rac{242}{1 + 0.10} = rac{242}{1.10} \\ = 220.00

Now, we can calculate the GST on the parts:

ext{GST on parts} = ext{Total cost} - ext{Cost excluding GST} = 242 - 220 = 22.00

Thus, the GST included in the cost of parts is $22.00.

Step 2

Calculate GST on labour

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Answer

The labour cost is $100, which does not include GST. To find the GST on labour:

ext{GST on labour} = ext{Labour cost} imes ext{GST rate} = 100 imes 0.10 = 10.00

Thus, the GST on labour is $10.00.

Step 3

Calculate total GST paid

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Answer

To determine the total GST the customer pays, we add the GST from the parts and labour:

ext{Total GST} = ext{GST on parts} + ext{GST on labour} = 22 + 10 = 32.00

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

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

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

Calculate GST included in parts

Calculate GST on labour

Calculate total GST paid

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