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Prepare a statement to calculate the corrected inventory as at 31 December 2024.

Accounting

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Answer

39,083.33\mathbf{39,083.33}

Step-by-step solution

2 steps

To calculate the corrected inventory as at 31 December 2024, we will start with the inventory valuation on 10 January 2025 and make adjustments for errors and omissions within that valuation, then reverse the effect of transactions that occurred between 1 January 2025 and 10 January 2025.

The business sells goods at a mark-up of 20%. This means:

Cost=Selling Price1+Mark-up Rate=Selling Price1.20\text{Cost} = \frac{\text{Selling Price}}{1 + \text{Mark-up Rate}} = \frac{\text{Selling Price}}{1.20}
  1. Calculate the corrected inventory on 10 January 2025.

    • Inventory as per valuation on 10 January 2025: \32,000$
    • Adjustment for damaged goods (Jan 8):
      • Cost of damaged goods: \4,000$
      • Net Realizable Value (NRV): Selling Price −- Cost to Repair = \3,000 - $500 = $2,500$
      • Since NRV (\2,500)islowerthancostis lower than cost($4,000)$, the inventory should be valued at NRV.
      • Write-down adjustment: \4,000 - $2,500 = $1,500$. This amount is subtracted from the inventory.
    • Adjustment for omitted goods (Jan 9):
      • Goods costing \800$ were omitted from the physical count. These should be added back.
    • Adjustment for goods on sale or return (Jan 5):
      • Goods worth \2,500$ (selling price) were sent out, but ownership had not passed. These goods are still part of Makwema Traders' inventory.
      • Cost of these goods: \frac{\2,500}{1.20} = $2,083.33$.
      • Assuming these goods were not included in the physical count (as they were out with the customer), they need to be added back.

    Corrected Inventory on 10 Jan 2025=$32,000−$1,500+$800+$2,083.33=$33,383.33\text{Corrected Inventory on 10 Jan 2025} = \$32,000 - \$1,500 + \$800 + \$2,083.33 = \$33,383.33

  2. Adjust the corrected 10 January 2025 inventory to 31 December 2024.

    We need to reverse the effect of transactions that occurred between 1 January 2025 and 10 January 2025.

    • Sales (Jan 2):
      • Sales of \18,000$ occurred after 31 December 2024. These goods were part of the inventory on 31 December 2024.
      • Cost of sales: \frac{\18,000}{1.20} = $15,000$. This amount is added back.
    • Purchases (Jan 4):
      • Purchases of \10,000$ occurred after 31 December 2024. These goods were not part of the inventory on 31 December 2024.
      • This amount is subtracted.
    • Goods taken for personal use (Jan 6):
      • Goods costing \1,200$ were taken after 31 December 2024. These goods were part of the inventory on 31 December 2024.
      • This amount is added back.
    • Sales returns (Jan 7):
      • Sales returns of \600$ were received after 31 December 2024. These goods were not part of the inventory on 31 December 2024 (they had been sold).
      • Cost of sales returns: \frac{\600}{1.20} = $500$. This amount is subtracted.

    Here is the statement:

    ItemAmount ($)Inventory as per valuation on 10 January 202532,000Less: Write-down for damaged goods (Jan 8)(1,500)Add: Goods omitted from physical count (Jan 9)800Add: Goods on sale or return (Jan 5)2,083.33Corrected Inventory on 10 January 202533,383.33Add: Cost of sales (Jan 2)15,000Less: Purchases (Jan 4)(10,000)Add: Goods taken for personal use (Jan 6)1,200Less: Cost of sales returns (Jan 7)(500)Corrected Inventory as at 31 December 202439,083.33\begin{array}{|l|l|} \hline \textbf{Item} & \textbf{Amount (\$)} \\ \hline \text{Inventory as per valuation on 10 January 2025} & 32,000 \\ \text{Less: Write-down for damaged goods (Jan 8)} & (1,500) \\ \text{Add: Goods omitted from physical count (Jan 9)} & 800 \\ \text{Add: Goods on sale or return (Jan 5)} & 2,083.33 \\ \hline \textbf{Corrected Inventory on 10 January 2025} & \textbf{33,383.33} \\ \hline \text{Add: Cost of sales (Jan 2)} & 15,000 \\ \text{Less: Purchases (Jan 4)} & (10,000) \\ \text{Add: Goods taken for personal use (Jan 6)} & 1,200 \\ \text{Less: Cost of sales returns (Jan 7)} & (500) \\ \hline \textbf{Corrected Inventory as at 31 December 2024} & \boxed{\mathbf{39,083.33}} \\ \hline \end{array}
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