The following represents extracts from the trading account of a retail outlet for a given month: Opening stock ₦2,400; Closing stock ₦6,400; Other expenses ₦2,000; Sales ₦11,000; Profit ₦900.
What is the purchase figure for the month?
What is the purchase figure for the month?
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Correct Answer: Option B
Explanation:
To find the purchase figure for the month, we use the Trading Account formula to compute Cost of Goods Sold (COGS) first, and then use that to back-calculate purchases.
Step 1: Use the Trading Account Formula
Trading Account formula:
\[
\text{Sales} - \text{Cost of Goods Sold (COGS)} = \text{Gross Profit}
\]
We are given:
- Sales = ₦11,000
- Profit = ₦900
- Other expenses = ₦2,000
Since Net Profit = Gross Profit - Expenses, we can calculate Gross Profit:
\[
\text{Gross Profit} = \text{Net Profit} + \text{Expenses} = ₦900 + ₦2,000 = ₦2,900
\]
Now calculate COGS:
\[
\text{COGS} = \text{Sales} - \text{Gross Profit} = ₦11,000 - ₦2,900 = ₦8,100
\]
Step 2: Use the COGS Formula to Find Purchases
\[
\text{COGS} = \text{Opening Stock} + \text{Purchases} - \text{Closing Stock}
\]
We are given:
- Opening stock = ₦2,400
- Closing stock = ₦6,400
- COGS = ₦8,100
Now plug in values:
\[
8,100 = 2,400 + \text{Purchases} - 6,400
\]
\[
8,100 = \text{Purchases} - 4,000
\]
\[
\text{Purchases} = 8,100 + 4,000 = ₦12,100
\]
To find the purchase figure for the month, we use the Trading Account formula to compute Cost of Goods Sold (COGS) first, and then use that to back-calculate purchases.
Step 1: Use the Trading Account Formula
Trading Account formula:
\[
\text{Sales} - \text{Cost of Goods Sold (COGS)} = \text{Gross Profit}
\]
We are given:
- Sales = ₦11,000
- Profit = ₦900
- Other expenses = ₦2,000
Since Net Profit = Gross Profit - Expenses, we can calculate Gross Profit:
\[
\text{Gross Profit} = \text{Net Profit} + \text{Expenses} = ₦900 + ₦2,000 = ₦2,900
\]
Now calculate COGS:
\[
\text{COGS} = \text{Sales} - \text{Gross Profit} = ₦11,000 - ₦2,900 = ₦8,100
\]
Step 2: Use the COGS Formula to Find Purchases
\[
\text{COGS} = \text{Opening Stock} + \text{Purchases} - \text{Closing Stock}
\]
We are given:
- Opening stock = ₦2,400
- Closing stock = ₦6,400
- COGS = ₦8,100
Now plug in values:
\[
8,100 = 2,400 + \text{Purchases} - 6,400
\]
\[
8,100 = \text{Purchases} - 4,000
\]
\[
\text{Purchases} = 8,100 + 4,000 = ₦12,100
\]