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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 ÷ sales) ... 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 Ratio

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Answer

The gross profit ratio is given by:

extGrossProfitRatio=Gross ProfitSales×100% ext{Gross Profit Ratio} = \frac{\text{Gross Profit}}{\text{Sales}} \times 100\%

Given that the Gross Profit is $400,000 and the Gross Profit Ratio is 66.7%, we can rearrange the formula to find Sales:

\text{Sales} = \frac{\text{Gross Profit}}{\text{Gross Profit Ratio} / 100}\

Substituting the values, we get:

Sales=400,00066.7/100=600,000\text{Sales} = \frac{400,000}{66.7 / 100} = 600,000

Step 2

Calculate Net Profit from Net Profit Ratio

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Answer

The net profit ratio is given by:

Net Profit Ratio=Net ProfitSales×100%\text{Net Profit Ratio} = \frac{\text{Net Profit}}{\text{Sales}} \times 100\%

We have calculated Sales as $600,000. Using the net profit ratio of 50%, we can find Net Profit:

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 Row

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Answer

From the calculations, we have:

  • Sales: $600,000
  • Net Profit: 300,000Thus,thecorrectrowfromthetableis:D.300,000 Thus, the correct row from the table is: **D. 600,000 $300,000**

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