A machine costing $75,000 is purchased on September 1, Year 1. The machine is estimated to have a salvage value of $10,000 and an estimated useful life of 4 years. Double-declining-balance depreciation is used. If the machine is sold on December 31, Year 3 for $13,000, the journal entry to record the sale will include: a)A credit to gain on sale for $8,000. b)A debit to loss on sale for $2,625. c)A credit to accumulated depreciation for $59,375. d)A debit to loss on sale for $3,042. e)A credit to gain on sale for $4,979.

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Answer:

b. A debit to loss on sale for $2,625

Explanation:

As per straight line depreciation method,

Depreciation rate = [tex]\frac{100}{4}[/tex] = 25%

Depreciation rate as per double declining balance method is twice of straight line depreciation rate.

Now, as per double declining balance method:

Depreciation rate = 2×25% = 50%

Machine was purchased on September 1, year 1. This means depreciation expense for year 1 will be charged for 4 months only.

Depreciation expense for year 1 = $75,000×50%×[tex]\frac{4}{12}[/tex]

Depreciation expense for year 1 = $12,500

(Depreciation expense schedule for 3 years has been shown below.)

Now,

Selling price < Book value

Thus, the company incurred loss on sale of machine.

Loss on sale of machine = Book value - selling price

Loss on sale of machine = $15,625 - $13,000

Loss on sale of machine = $2,625

Now, the journal entry for sale of machine has been shown below.

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Ver imagen zagreb

b. A debit to loss on sale for $ 2,625

The following calculation in the journal regarding sales losses

Cost / Book Value (at Begining) [A]

Year 1 72,000

Year 2 62,500

Year 3 31,250

Depreciation rate [B]

Year 1 50%

Year 2 50%

Year 3 50%

Depreciation Expense [C = A * B]

Year 1 12,500

Year 2 31,250

Year 3 15,625

Book value (at year-end) [A-C]

Year 1 62,500

Year 2 31,250

Year 3 15,625

The company incurred a loss on the sale of the machine.

Losses on engine sales = value - damage

Losses on engine sales = $ 15,625 - $ 13,000

Losses on engine sales = $ 2,625

Further Explanation

There are several factors that cause a decrease in the ability of fixed assets to provide benefits that can be identified as physical depreciation or functional depreciation:

Physical depreciation occurs from damage and wear when used and due to weather effects.

Functional depreciation (functional depreciation) occurs if the said fixed assets are no longer able to provide benefits at the level as expected.

There are several factors that affect depreciation, including:

  • Usage
  • Wear and tear
  • Rewards of available and requested capacity
  • Technological limitations

Learn More

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Details

Grade: High School

Subject: Business

Keyword: depreciation, loss, sale