Problem 17 - Accounting

Question

A business using the retail method of inventory costing determines that merchandise inventory at retail is $880,000. If the ratio of cost to retail price is 65%, what is the amount of inventory to be reported on the financial statements?

Step-by-Step Solution

Answer

The amount of inventory to be reported is $572,000.

Step 1: Understand the Concepts

The question provides the total merchandise inventory at its retail value and also gives the ratio of cost to retail price, which is 65%. We need to determine the inventory value at cost, which will be reported on the financial statements.

Step 2: Identify the Retail Inventory Value

The retail inventory value is given as $880,000. This is the value of the inventory if it were to be sold at retail prices.

Step 3: Determine the Cost-to-Retail Ratio

The cost-to-retail ratio is provided as 65%, which means that the cost of the inventory is 65% of its retail value.

Step 4: Calculate the Inventory Value at Cost

To find the inventory value at cost, we multiply the retail value by the cost-to-retail ratio. Mathematically, this is represented as:\[ \text{Inventory at Cost} = \text{Retail Inventory} \times \text{Cost-to-Retail Ratio} \]Substituting the given values:\[ \text{Inventory at Cost} = 880,000 \times 0.65 \]

Step 5: Perform the Calculation

Calculate the result of the expression:\[ 880,000 \times 0.65 = 572,000 \]

Step 6: Report the Inventory Value at Cost

The inventory value to be reported on the financial statements, which is the cost of the inventory, is $572,000.

Key Concepts

Merchandise Inventory

Merchandise inventory refers to the goods a business holds for the purpose of resale. These goods are typically part of a company's current assets and are critical for understanding a business's operational health.
Inventory exists in various forms at different stages of production, but in the case of a retail business, it specifically pertains to products ready for sale.

• Types of Inventory: Merchandise inventory may include raw materials, work-in-progress items, and finished goods, but for retailers, it largely consists of products ready for sale.
• Role in Business: Managing merchandise inventory effectively is crucial, as it affects cash flow, storage costs, and ultimately, the profitability of the business.

Merchandise inventory is closely linked to a company's sales activities and financial statements. In essence, it reflects the potential future revenue that a business can realize if the inventory is successfully sold to customers.
In cases such as when using the retail method of inventory costing, the focus is on assessing inventory at retail values, which simplifies estimating the cost of goods sold and ending inventory.

Cost-to-Retail Ratio

The Cost-to-Retail Ratio is a key metric in the retail method of inventory costing that helps businesses estimate the value of inventory on hand at a cost that is expected to be realized upon sale.
It simply compares the cost of purchasing inventory against the price for which it can be sold to customers.

• Determining the Percentage: The Cost-to-Retail Ratio is usually presented as a percentage () indicating the cost portion relative to the set retail price. For instance, a 65% cost-to-retail ratio indicates that the cost of goods is 65% of their selling price.
• Practical Application: In the retail method, this ratio aids in swiftly estimating inventory levels without the need for itemizing each piece of inventory at its precise purchase cost. It's particularly useful for businesses handling large volumes of inventory.

To apply it, businesses multiply the total retail value of inventory by the Cost-to-Retail Ratio, granting a calculated cost figure that is used in financial statements for accurate financial reporting.

Financial Statements Reporting

Reporting inventory accurately on financial statements is a fundamental practice in accounting, providing insights into a company's financial health.
For businesses using the retail method of inventory costing, inventory values must be accurately reflected to meet reporting standards and give a true picture of the financial position.

• Inventory Valuation: The inventory figure calculated using the Cost-to-Retail method ensures that inventory is reported at cost on the financial statements, aligning with accounting principles. This figure directly influences metrics such as gross profit and net income.
• Impact on Financial Analysis: Reported inventory values affect a variety of financial ratios and analyses, such as the current ratio, which assesses liquidity, and the inventory turnover ratio, which gauges operational efficiency.

In the problem discussed, once the inventory value at cost has been calculated as $572,000, this is the amount reported on the balance sheet.
This reflects how much was invested in the inventory and assists stakeholders in making informed financial decisions.