On January 1, 20X1, a company purchased a commercial truck for $48,000 and uses the straight-line depreciation method. The truck has a useful life of eight years and an estimated residual value of $8,000. On December 31, 20X3, the company sold the truck for $30,000. What amount of gain or loss should the company record on December 31, 20X3?

A. 5,000
B. 15000
C. 33000
D. 3000

Respuesta :

Answer:

D. Loss of $3,000

Explanation:

Cost = $48,000

Residual value = $8,000  

Useful life = 8 years  

Now,  

Annual straight line depreciation = [tex]\frac{Cost-Residual Value}{Useful life}[/tex]  

Annual straight line depreciation = [tex]\frac{48,000 - 8,000}{8}[/tex]  

Annual straight line depreciation = [tex]\frac{40,000}{8}[/tex]  

Annual straight line depreciation = $5,000

If Book value > Selling price then the firm incurred loss on sale of asset.

If book value < selling price  then the firm incurred gain on sale of asset.

Here,

Book value (at the time of sale) = $33,000

Selling price = $30,000

Therefore, the company incurred loss on sale of asset.

Loss on sale of commercial truck = Book value (at the time of sale) - Selling price

Loss on sale of commercial truck = $30,000 - $30,000

Loss on sale of commercial truck = $3,000

Note:

Annual depreciation expense is transferred to the accumulated depreciation. Thus, accumulated depreciation is sum of depreciation expense charged over the useful life of the asset.  

Depreciation table has been constructed to compute the accumulated depreciation on 31st December 2017.

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The amount of loss that the company should record on December 31, 20X3 is Loss of $3,000

Given data

Cost = $48,000

Residual value = $8,000  

Useful life = 8 years  

Annual straight line depreciation = Cost - Salvage value / Useful Years

Annual straight line depreciation = $48,000 - $8,000 / 8

Annual straight line depreciation = $40,000 / 8

Annual straight line depreciation = $5,000

Hence, if the Book value > Selling price, then, the firm incurred loss on sale of asset but if the book value < selling price, then, the firm incurred gain on sale of asset.

Book value = $33,000 > Selling price = $30,000. Hence , the company incurred loss on sale of asset.

Loss on sale of commercial truck = Book value (at the time of sale) - Selling price

Loss on sale of commercial truck = $30,000 - $30,000

Loss on sale of commercial truck = $3,000

Hence, the amount of loss that the company should record on December 31, 20X3 is Loss of $3,000

Therefore, the Option D is correct.

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