Answer: To prepare the journal entry for depletion in the first year, we need to calculate the depletion expense based on the units of ore extracted and sold. The formula for depletion expense is:
Depletion Expense = (Cost of the mine - Salvage value) / Total estimated units of ore
Given:
Cost of the mine = $65 million
Salvage value = $10 million
Total estimated units of ore = 220,000 tons
Ore extracted and sold in the first year = 65,000 tons
Step 1: Calculate the depletion expense per ton of ore:
Depletion Expense per ton = ($65 million - $10 million) / 220,000 tons
Depletion Expense per ton = $55 million / 220,000 tons
Depletion Expense per ton = $0.25 per ton
Step 2: Calculate the total depletion expense for the first year:
Depletion Expense = Depletion Expense per ton * Ore extracted and sold in the first year
Depletion Expense = $0.25 per ton * 65,000 tons
Depletion Expense = $16,250
Now, let's prepare the journal entry:
Date: [First Year End Date]
Depletion Expense $16,250
Accumulated Depletion $16,250
The "Depletion Expense" is an expense account, and the "Accumulated Depletion" is a contra-asset account. The journal entry records the depletion expense for the first year and reduces the value of the mine (represented by the "Accumulated Depletion" account) by the same amount. Over time, as more ore is extracted and sold, the depletion expense will be recorded, reducing the value of the mine until it reaches its salvage value.