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The table shows information supplied by a business: Sales ? Cost of goods sold ? Gross profit $400,000 Expenses ? Net profit ? Gross profit ratio (gross profit ÷ sales) 66.7% Net profit ratio (net profit ÷ sales) 50% Which row in the following table shows the sales and net profit for this business? A - HSC - SSCE Business Studies - Question 20 - 2017 - Paper 1

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The-table-shows-information-supplied-by-a-business:--Sales-?-Cost-of-goods-sold-?-Gross-profit-$400,000-Expenses-?-Net-profit-?--Gross-profit-ratio-(gross-profit-÷-sales)-66.7%-Net-profit-ratio-(net-profit-÷-sales)-50%--Which-row-in-the-following-table-shows-the-sales-and-net-profit-for-this-business?--A-HSC-SSCE Business Studies-Question 20-2017-Paper 1.png

The table shows information supplied by a business: Sales ? Cost of goods sold ? Gross profit $400,000 Expenses ? Net profit ? Gross profit ratio (gross profit ÷ s... show full transcript

Worked Solution & Example Answer:The table shows information supplied by a business: Sales ? Cost of goods sold ? Gross profit $400,000 Expenses ? Net profit ? Gross profit ratio (gross profit ÷ sales) 66.7% Net profit ratio (net profit ÷ sales) 50% Which row in the following table shows the sales and net profit for this business? A - HSC - SSCE Business Studies - Question 20 - 2017 - Paper 1

Step 1

Calculate Sales from Gross Profit and Gross Profit Ratio

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Answer

To find the sales, we can use the formula for the gross profit ratio:

extGrossProfitRatio=Gross ProfitSalesimes100 ext{Gross Profit Ratio} = \frac{\text{Gross Profit}}{\text{Sales}} imes 100

Given a gross profit of $400,000 and a gross profit ratio of 66.7%, we can rearrange the formula:

Sales=Gross ProfitGross Profit Ratio/100=400,00066.7/100=400,0000.667600,000\text{Sales} = \frac{\text{Gross Profit}}{\text{Gross Profit Ratio}/100} = \frac{400,000}{66.7/100} = \frac{400,000}{0.667} \approx 600,000

Step 2

Calculate Net Profit from Sales and Net Profit Ratio

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Answer

Using the calculated sales of $600,000 and the net profit ratio of 50%, we can find the net profit:

Net Profit Ratio=Net ProfitSalesimes100\text{Net Profit Ratio} = \frac{\text{Net Profit}}{\text{Sales}} imes 100

Rearranging the formula gives:

Net Profit=Sales×(Net Profit Ratio100)=600,000×0.50=300,000\text{Net Profit} = \text{Sales} \times \left(\frac{\text{Net Profit Ratio}}{100}\right) = 600,000 \times 0.50 = 300,000

Step 3

Identify the Correct Option

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Answer

From our calculations, we have found:

  • Sales: $600,000
  • Net Profit: $300,000

Referring back to the options provided:

  • A: 66,700/66,700 / 50,000
  • B: 200,000/200,000 / 100,000
  • C: 600,000/600,000 / 200,000
  • D: 600,000/600,000 / 300,000

The correct option that matches our calculations is D: 600,000/600,000 / 300,000.

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