Question

Difficulty: HardProvision for Unrealized Profit on Closing Inventory

Kovaro Manufacturing Enterprise transfers finished goods from its factory to its trading department at a price that includes a mark-up of 3313%33\frac{1}{3}\% on manufacturing cost.

Extracts from the enterprise's books for the year ended 31st December 2025 show the following balances:

ItemValue
Opening inventory of finished goods (at transfer price)48,000\text{₦}48,000
Closing inventory of finished goods (at transfer price)72,000\text{₦}72,000

What amount should be charged to the Profit and Loss Account as an adjustment for the provision for unrealized profit for the year ended 31st December 2025?

  1. 6,000\text{₦}6,000Answer
  2. B
    8,000\text{₦}8,000
  3. C
    ��18,000\text{��}18,000
  4. D
    24,000\text{₦}24,000

Answer

The amount to be charged to the Profit and Loss Account as an adjustment for provision for unrealized profit is 6,000\text{₦}6,000.
Transfer price includes a mark-up of 3313%33\frac{1}{3}\% (or 13\frac{1}{3}) on manufacturing cost. To extract the profit element from the transfer price, convert mark-up to margin: Margin=1/31+1/3=25%\text{Margin} = \frac{1/3}{1 + 1/3} = 25\%. The opening provision is 25%×48,000=12,00025\% \times \text{₦}48,000 = \text{₦}12,000 and the required closing provision is 25%×72,000=18,00025\% \times \text{₦}72,000 = \text{₦}18,000. The increase in provision charged to the Profit and Loss Account is 18,00012,000=6,000\text{₦}18,000 - \text{₦}12,000 = \text{₦}6,000.

Step-by-Step Solution

1
Convert the mark-up on cost to margin on transfer price
Mark-up = 3313%=1333\frac{1}{3}\% = \frac{1}{3}. Margin on transfer price = 1/31+1/3=14=25%\frac{1/3}{1 + 1/3} = \frac{1}{4} = 25\%.
Inventories are stated at transfer price, so the profit element contained within the transfer price is calculated using the profit margin.
2
Calculate the opening provision for unrealized profit contained in opening inventory
Opening Provision = 25%×48,000=12,00025\% \times \text{₦}48,000 = \text{₦}12,000.
To determine the existing provision brought forward from the previous accounting period.
3
Calculate the closing provision for unrealized profit required for closing inventory
Closing Provision Required = 25%×72,000=18,00025\% \times \text{₦}72,000 = \text{₦}18,000.
To determine the total provision needed at the end of the current accounting period.
4
Determine the net adjustment (increase) to be charged to the Profit and Loss Account
Adjustment = Closing Provision - Opening Provision = 18,00012,000=6,000\text{₦}18,000 - \text{₦}12,000 = \text{₦}6,000.
Only the increase in provision during the year is charged as an expense to the Profit and Loss Account.

Key Concept

Provision for Unrealized Profit on Closing Inventory
Estimated Time:2m 0s
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