Question

Difficulty: MediumAccounting for Dependent Branches at Selling / Invoice Price

A Head Office in Lagos supplies goods to its Port Harcourt branch at an invoice price that includes a mark-up of 3313%33\frac{1}{3}\% on cost. At the end of the accounting period, the physical inventory count at the branch shows closing stock valued at 24,000\text{₦}24,000 at invoice price. What is the value of the stock reserve in Naira required to eliminate the unrealized profit from the closing stock?

Answer: 6000

Answer

The stock reserve required to reduce the closing inventory to cost price is ₦6,000.
To determine the stock reserve on closing stock priced at invoice price, convert the mark-up on cost (33 1/3% or 1/3) to profit margin on selling price, which is 1/4 (25%). Multiplying 25% by the closing inventory value of ₦24,000 gives ₦6,000.

Step-by-Step Solution

1
Convert mark-up on cost to profit margin on selling/invoice price
Profit margin on invoice price = 25% (or 1/4)
Margin = Mark-up / (100% + Mark-up) = (1/3) / (4/3) = 1/4
2
Calculate unrealized profit (stock reserve) on closing inventory
Stock reserve = ₦6,000
Stock reserve = 1/4 of ₦24,000 = ₦6,000

Key Concept

Calculation of Branch Stock Reserve on Closing Inventory at Invoice Price
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