Problem 10 - Accounting

Question

Two items are omitted in each of the following four lists of income statement data. Determine the amounts of the missing items, identifying them by letter. \(\begin{array}{lcccc}\text { Sales } & \$ 400,000 & \$ 500,000 & \$ 1,000,000 & \$(\mathrm{~g}) \\ \text { Sales returns and allowances } & \text { (a) } & 15,000 & (\mathrm{e}) & 30,500 \\ \text { Sales discounts } & 20,000 & 8,000 & 40,000 & 37,000 \\ \text { Net sales } & 350,000 & (\text { c }) & 910,000 & \text { (h) } \\ \text { Cost of merchandise sold } & \text { (b) } & 285,000 & \text { (f) } & 540,000 \\ \text { Gross profit } & 200,000 & \text { (d) } & 286,500 & 150,000\end{array}\)

Step-by-Step Solution

Answer

(a) = 30,000, (b) = 150,000, (c) = 477,000, (d) = 192,000, (e) = 50,000, (f) = 623,500, (g) = 757,500, (h) = 690,000.

Step 1: Calculate Net Sales

Net sales can be calculated from the sales, sales returns and allowances, and sales discounts. The formula is: \( \text{Net Sales} = \text{Sales} - \text{Sales Returns and Allowances} - \text{Sales Discounts} \).For the first column, we have:\[350,000 = 400,000 - (a) - 20,000\]Solving for \((a)\), we find:\[(a) = 400,000 - 350,000 - 20,000 = 30,000\]For the second column:\[(c) = 500,000 - 15,000 - 8,000 = 477,000\]For the third column:\[910,000 = 1,000,000 - (e) - 40,000\]Solving for \((e)\), we find:\[(e) = 1,000,000 - 910,000 - 40,000 = 50,000\]For the fourth column:\[(h) = (g) - 30,500 - 37,000\]

Step 2: Calculate Cost of Merchandise Sold and Gross Profit

The gross profit can be calculated using the net sales and cost of merchandise sold as follows:\[ \text{Gross Profit} = \text{Net Sales} - \text{Cost of Merchandise Sold} \].Using the first column:\[200,000 = 350,000 - (b)\]Solving for \((b)\), we find:\[(b) = 350,000 - 200,000 = 150,000\]For the second column:\[(d) = 477,000 - 285,000 = 192,000\]For the third column:\[286,500 = 910,000 - (f)\]Solving for \((f)\), we find:\[(f) = 910,000 - 286,500 = 623,500\]For the fourth column:\[150,000 = (h) - 540,000\]Solving for \((h)\), we find:\[(h) = 150,000 + 540,000 = 690,000\]Plug this into the equation for \((g)\) from Step 1:\[690,000 = (g) - 30,500 - 37,000\]Solving for \((g)\), we find:\[(g) = 690,000 + 30,500 + 37,000 = 757,500\]

Key Concepts

Income Statement

An income statement, also referred to as a profit and loss statement, is an essential financial report that provides a summary of a company's revenues, expenses, and net profit over a specific accounting period. It reflects the company's ability to generate profit by detailing how revenue is transformed into net income. The fundamental components include:

• Revenue: The total amount of income generated by the sale of goods or services related to the company's operations.
• Expenses: These are outflows or other using up of assets or incurrences of liabilities during a period from the delivery or production of goods.
• Net Profit: This is what remains after all expenses are deducted from total revenue.

The income statement is particularly useful for stakeholders, as it shows how well a company manages its expenses and achieves financial objectives. It's a snapshot of overall financial health, indicating the financial traction the enterprise is gaining over time.

Net Sales Calculation

Net sales are the sales revenues from which returns, allowances, and discounts have been deducted. This is a vital figure, as it represents the actual revenue the company can expect to collect. The formula is:\[\text{Net Sales} = \text{Sales} - \text{Sales Returns and Allowances} - \text{Sales Discounts}\]Let's break this down a bit:

• Sales: The total revenue earned from selling goods or services.
• Sales Returns and Allowances: These are reductions in sales revenue for returned goods or discounts given to customers for unsatisfactory products.
• Sales Discounts: These are reductions on the selling price, typically for prompt payment.

Calculating net sales accurately is crucial for assessing the real performance of sales operations. It gives investors and management a clear view of actual sales performance, free from the noise of allowances and discounts.

Gross Profit Determination

Gross profit is a key measure that indicates how efficiently a company uses its resources, like labor and supplies, to produce goods or services. It is calculated using the formula:\[\text{Gross Profit} = \text{Net Sales} - \text{Cost of Merchandise Sold}\]Gross profit is vital because it provides insights into the basic profitability of a company’s core activities. It can be directly linked to cost management practices:

• Higher gross profit indicates good sales pricing strategies and cost management.
• Lower gross profit may suggest very high production costs or ineffective pricing strategies.

Companies focus on gross profit as it reflects the fundamental operations, suggesting if the firm needs to reassess its pricing strategies or cost controls.

Cost of Merchandise Sold

The Cost of Merchandise Sold (CoMS), also referred to as Cost of Goods Sold (CoGS), quantifies the direct costs attributable to the production of the goods sold in a company. These costs include material, labor, and overhead directly tied to the production or purchase of products sold. The formula to determine this cost is implied as:\[\text{CoMS} = \text{Net Sales} - \text{Gross Profit}\]Understanding CoMS is crucial for a few reasons:

• It determines how efficiently a company produces or purchases its products.
• It's a significant indicator of financial performance, as it impacts the gross profit margins.
• Businesses aim to manage CoMS effectively to maintain profitability and competitive pricing.

A lower CoMS relative to sales signifies efficient management of production and supply chain operations. It enables companies to optimize profit and cost structures.