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Depreciation is a method to allocate the cost of a tangible asset over its useful life. In this exercise, the old truck has been depreciated annually by $8,000. To calculate the current depreciation to the trade-in date, we first need to identify the period from the last fiscal year end (December 31) to the trade-in date (April 1). In this case, that period is 3 months. To find the monthly depreciation, we divide the annual depreciation by the months in a year: \[ \text{Monthly Depreciation} = \frac{8,000}{12} = 666.67 \]The current depreciation for the 3 months is then calculated by multiplying the monthly depreciation by 3:\[ \text{Current Depreciation} = 3 \times 666.67 = 2,000 \]This calculated depreciation will be used in journal entries to adjust the depreciated value of the old truck until the trade-in date.

When disposing of an asset such as the old truck, it's important to calculate the asset's book value and make necessary journal entries to remove it from the books. The book value is the original cost of the asset minus its accumulated depreciation up to the current period.For the old truck, the cost is \(48,000, and before adjusting for current depreciation, accumulated depreciation was \)32,000. After adding the current depreciation of \(2,000, the accumulated depreciation totals \)34,000:\[ \text{Book Value} = 48,000 - 34,000 = 14,000 \]Recording the asset disposal involves debiting the accumulated depreciation account and crediting the asset's original cost account to remove it from the books, reflecting the trade-in allowance given for the old truck.

A trade-in allowance is a deduction given when an old asset is exchanged for a new one. It reduces the purchase price of the new asset. In this problem, the trade-in allowance is $15,000 for the old truck. This figure is contrasted with the book value to determine if there was a gain or loss upon disposal. The trade-in allowance directly decreases the cost of acquiring the new truck, effectively reducing the amount needed to be financed through cash or notes payable. The allowance is an essential part of the journal entries as it influences both the gain or loss recognition and how the new asset acquisition and old asset disposal are documented.

Recognizing a gain or loss occurs when the amount received for a disposed asset differs from its book value. In this scenario, the trade-in allowance is \(15,000, while the book value of the truck is \)14,000, leading to a $1,000 gain:\[ \text{Gain} = 15,000 - 14,000 = 1,000 \]This gain is reported in the financial statements as additional income. It's determined by contrasting the trade-in credit against the truck's book value.To record this, a journal entry credits the Gain on Trade-In account, indicating that the business realized revenue from this transaction. Understanding and documenting these gains or losses helps reflect accurate current financial health and ensures compliance with accounting principles.