Problem 24 - Accounting

Question

Rainbow Mining Co. acquired mineral rights for \( 30,000,000\). The mineral deposit is estimated at \(75,000,000\) tons. During the current year, \(11,250,000\) tons were mined and sold. a. Determine the amount of depletion expense for the current year. b. Journalize the adjusting entry to recognize the depletion expense.

Step-by-Step Solution

Answer

Depletion expense for the year is $4,500,000. The journal entry debits Depletion Expense and credits Accumulated Depletion - Mineral Rights for $4,500,000.

Step 1: Calculate Depletion Rate

The depletion rate is calculated by dividing the cost of the mineral rights by the estimated total amount of minerals. This gives us the cost per ton of minerals. The formula is as follows: \[\text{Depletion Rate} = \frac{\text{Cost of Mineral Rights}}{\text{Estimated Total Tons}}\]Substitute the given values:\[\text{Depletion Rate} = \frac{30,000,000}{75,000,000} = 0.40 \text{ per ton}\]

Step 2: Calculate Depletion Expense for the Current Year

To find the depletion expense for the current year, multiply the depletion rate by the number of tons mined during the year. Use the formula:\[\text{Depletion Expense} = \text{Depletion Rate} \times \text{Tons Mined and Sold}\]Substitute the known values:\[\text{Depletion Expense} = 0.40 \times 11,250,000 = 4,500,000\]

Step 3: Journalize the Adjusting Entry

To record the depletion expense in the accounting records, prepare the following adjusting journal entry: **Debit**: Depletion Expense $4,500,000 **Credit**: Accumulated Depletion - Mineral Rights $4,500,000 This entry recognizes the depletion expense in the income statement and accumulates the depletion in the balance sheet.

Key Concepts

Depletion Rate

The depletion rate is an essential concept when dealing with the accounting of natural resources. It allows businesses to allocate the cost of resource extraction over time. Think of it like slicing a big pie (the mineral deposit) into smaller pieces (the costs for each ton extracted). To calculate the depletion rate, you need two main pieces of information: the total cost of acquiring the mineral rights and the estimated total amount of minerals available for extraction. Using our example, Rainbow Mining Co. has costs for mineral rights set at \(30,000,000\) and estimates 75,000,000 tons of material. Thus, the depletion rate formula is:\[\text{Depletion Rate} = \frac{\text{Cost of Mineral Rights}}{\text{Estimated Total Tons}}\]By substituting the numbers:\[\text{Depletion Rate} = \frac{30,000,000}{75,000,000} = 0.40 \text{ per ton}\]This rate of 0.40 per ton signifies how much of the mineral rights cost is attributed to each ton of resource extracted.

Mineral Rights

Mineral rights, in the context of accounting, refer to the ownership interest a company has in mineral deposits beneath the ground. It's an intangible asset, which means it's not a physical thing you can touch or see on a balance sheet. Yet, it's crucial because it represents a potential source of future revenue. Mineral rights are typically acquired at a high initial cost because they give the owner the exclusive right to extract the minerals. The financial worth of these rights needs to be carefully analyzed and methodically recorded in accounting books as they directly relate to profitability. Imagine mineral rights as a golden ticket to digging deeper into the earth and finding treasures like gold, oil, or coal. This is why companies like Rainbow Mining Co. are willing to invest millions. But, it's essential for them to spread this cost over the useful life of the mineral deposit - which is where the depletion rate comes into play.

Journal Entry

In accounting, a journal entry is like keeping a diary of a company's financial transactions. It ensures clarity and accuracy in financial reporting. When dealing with depletion, you need to make a journal entry to reflect how much of the resource was used up over the accounting period.Let's take the case of Rainbow Mining Co. In the current year, they mined and sold 11,250,000 tons. Using the depletion rate of 0.40 per ton, the depletion expense for the current year totals \(4,500,000\). The corresponding journal entry to record this would be:

• Debit: Depletion Expense \(4,500,000\)
• Credit: Accumulated Depletion - Mineral Rights \(4,500,000\)

This entry helps keep the accounting records accurate by acknowledging the expense in the company's income statement while also providing a cumulative record in the balance sheet. It reflects how the mineral resource is being consumed and aids in financial analysis for decision-making.