Question

Difficulty: MediumProvision for Unrealized Profit on Closing Inventory

Benue Manufacturing Enterprise transfers finished goods from its factory to its retail outlet at a transfer price that includes a mark-up of 25%25\% on cost. On 1 January 2025, the provision for unrealized profit was 2,000\text{₦}2,000. On 31 December 2025, the stock of finished goods valued at transfer price was 25,000\text{₦}25,000. What is the amount of closing provision for unrealized profit (in \text{₦}) to be deducted from finished goods inventory in the Statement of Financial Position?

Answer: 5000

Answer

The closing provision for unrealized profit on finished goods inventory is \text{₦}5,000.
The closing inventory of finished goods is held at transfer price (cost + profit). To find the unrealized profit provision, the 25%25\% mark-up on cost is converted to a 20%20\% margin on transfer price (25125=15\frac{25}{125} = \frac{1}{5}). Applying 20%20\% to the closing inventory value of 25,000\text{₦}25,000 gives a closing provision of 5,000\text{₦}5,000.

Step-by-Step Solution

1
Convert mark-up on cost to margin on transfer price
Margin on transfer price = 20%
Since closing inventory is valued at transfer price, the profit element must be calculated using the margin on transfer price, where Margin = Mark-up / (1 + Mark-up) = 0.25 / 1.25 = 0.20.
2
Calculate closing provision for unrealized profit
Closing Provision = ₦5,000
Multiply the transfer price of closing inventory (₦25,000) by the profit margin rate (20%) to find the profit fraction contained in unsold inventory.

Key Concept

Provision for Unrealized Profit on Closing Inventory
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