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A receipt from a supermarket shows a total of $124.87 - HSC - SSCE Mathematics Standard - Question 30 - 2023 - Paper 1

Question 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 va... show full transcript

Worked Solution & Example Answer:A receipt from a supermarket shows a total of $124.87 - HSC - SSCE Mathematics Standard - Question 30 - 2023 - Paper 1

Step 1

Calculate the amount on which GST was charged

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Answer

To find the amount on which GST is charged, let this amount be denoted as $n$ . Since GST is charged at a rate of 10%, we can express this as:

$0.10 \times n = 3.86$

Now, solving for $n$ gives:

$n = \frac{3.86}{0.10} = 38.60$

Step 2

Calculate the value of goods without GST

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Answer

The total amount from the receipt is $124.87$ . To find the value of items that did not have GST charged, we subtract the amount on which GST was charged and the GST itself from the total:

$\text{Value of goods without GST} = 124.87 - 38.60 - 3.86$

Calculating this, we find:

$\text{Value of goods without GST} = 124.87 - 38.60 - 3.86 = 82.41$

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