Question

Difficulty: MediumAccounting for Dependent Branches at Selling / Invoice Price

A commercial enterprise forwards inventory to its dependent branch at an invoice price that reflects a mark-up of 25%25\% on cost. At the close of the financial period, the branch holds a closing inventory valued at an invoice price of N50,000\text{N}50,000. What is the amount of unrealized profit to be credited to the Stock Reserve account?

  1. N10,000\text{N}10,000Answer
  2. B
    N12,500\text{N}12,500
  3. C
    N40,000\text{N}40,000
  4. D
    N62,500\text{N}62,500

Answer

N10,000\text{N}10,000
The correct answer is N10,000\text{N}10,000. Since inventory is invoiced at cost plus 25%25\%, the profit portion represents 25125=15\frac{25}{125} = \frac{1}{5} (20%20\%) of the invoice price. Applying 20%20\% to the branch closing inventory of N50,000\text{N}50,000 yields N10,000\text{N}10,000 as the unrealized profit element to be provided for in the Stock Reserve account.

Step-by-Step Solution

1
Convert the given mark-up percentage on cost into a margin percentage on invoice price.
Mark-up of 25%25\% (or 14\frac{1}{4}) on cost equals a margin of 11+4=15\frac{1}{1 + 4} = \frac{1}{5} (or 20%20\%) on invoice price.
Because the closing inventory figure is given at invoice price, the profit fraction must be expressed as a proportion of invoice price.
2
Calculate the loading (unrealized profit) in the closing inventory.
Unrealized Profit = N50,000×15=N10,000\text{N}50,000 \times \frac{1}{5} = \text{N}10,000.
Multiplying the margin fraction by the total invoice value extracts the loading component.
3
Identify the accounting adjustment required to eliminate unrealized profit.
The amount credited to the Stock Reserve account is N10,000\text{N}10,000.
Stock Reserve account is credited (and Branch Adjustment account debited) to reduce inventory from invoice price to cost price.

Key Concept

Stock Reserve Calculation on Branch Inventory at Invoice Price
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