Problem 6

Question

For the fiscal year, sales were \(\$ 5,280,000\), sales discounts were \(\$ 100,000\), sales returns and allowances were \(\$ 75,000\), and the cost of merchandise sold was \(\$ 3,000,000\). a. What was the amount of net sales? b. What was the amount of gross profit?

Step-by-Step Solution

Verified
Answer
Net sales were \(\$5,105,000\), and gross profit was \(\$2,105,000\).
1Step 1: Calculate Net Sales
Net sales are calculated by subtracting sales discounts and sales returns and allowances from the total sales. The formula for net sales is: Net Sales = Total Sales - Sales Discounts - Sales Returns and Allowances. Plug in the numbers to get: \[ \text{Net Sales} = \\(5,280,000 - \\)100,000 - \\(75,000 = \\)5,105,000 \]
2Step 2: Calculate Gross Profit
Gross profit is calculated by subtracting the cost of merchandise sold from net sales. The formula for gross profit is: Gross Profit = Net Sales - Cost of Merchandise Sold. Using the net sales calculated in the previous step, compute the gross profit: \[ \text{Gross Profit} = \\(5,105,000 - \\)3,000,000 = \$2,105,000 \]

Key Concepts

Gross Profit CalculationSales DiscountsSales Returns and Allowances
Gross Profit Calculation
Understanding how to calculate gross profit is essential for evaluating a company's financial performance. Gross profit represents the revenue from sales that exceeds the cost of producing goods. Here's how you calculate it:First, find the net sales, which we've calculated already. Then, subtract the cost of merchandise sold from these net sales.Here's the equation: - **Gross Profit = Net Sales - Cost of Merchandise Sold**For our exercise, we already found that the net sales are \(5,105,000\) dollars. The cost of merchandise sold is \(3,000,000\) dollars. Further, apply the formula:- **Gross Profit = \(5,105,000 - 3,000,000 = 2,105,000\) dollars**This tells us that \(2,105,000\) dollars of the sales revenue remains after covering the cost of the goods sold.
Sales Discounts
Sales discounts are reductions in the original sale price, offered by sellers as incentives for early payment or other criteria. These are beneficial for boosting cash flow and attracting customers.In our example, the total sales discounts amounted to \(100,000\) dollars during the fiscal year. This amount is deducted from the total sales when calculating net sales. The formula for adjusting total sales with discounts is:- **Net Sales = Total Sales - Sales Discounts**It's important to track sales discounts as they directly affect net sales and profitability. They help the business understand how much revenue is relinquished to improve sales volume.
Sales Returns and Allowances
Sales returns and allowances account for reductions in sales due to returned merchandise or allowances given for minor product defects. These deductions reflect products the customers are unhappy with or adjustments that are necessary for maintaining customer satisfaction.In our exercise, sales returns and allowances equaled \(75,000\) dollars. This amount is also deducted from gross sales to calculate net sales:- **Net Sales = Total Sales - Sales Returns and Allowances**Keeping a record of these returns and allowances is crucial, as they impact the company’s actual revenue. They highlight areas where the company can improve its products or services.