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Problem 9-2A In recent years, Avery Transportation purchased three used buses. B

ID: 2532406 • Letter: P

Question

Problem 9-2A In recent years, Avery Transportation purchased three used buses. Because of frequent turnover in the accounting department, a different accountant selected the depreciation method for each bu various methods were selected. Information concerning the buses is shown as follows Salvage Value Useful Life in Years Bus Acquired Cost Method $96,000 110,000 92,000 6,000 10,000 8,000 Straight-line Declining-balance Units-of-activity For the declining-baae method, the company uses the double-declining rate. For the units-of-activity method, total miles are expected to be 120,000. Actual miles of use in the first 3 years were 2018, 24,000; 2019, 34,000; and 2020, 30,000 For Bus #3, calculate depreciation expense per mile under units-of-activity method. (Round answer to 2 decimal places, eg, 0.50.) Depreciation expense per mile Compute the amount of accumulated depreciation on each bus at December 31, 2019. (Round depreciation cost per unit to 2 decimal places, e.g. 0.50 and depreciation rate to O decima places, e.g. 15%. Round final answers to 0 decimal places, eg. 2,125.) Accumulated depreciation BUS 1 BUS 2 BUS 3

Explanation / Answer

Solution:

Part 1 --- Bus 3 --- Units of Activity Method

Units of Production/Activity Method

Under the Units of Activity method of depreciation, depreciation is charged according to the actual usage of the asset. Higher depreciation is charged when there is higher activity and less is charged when there is low level of operation. Zero depreciation is charged when the asset is idle for the whole period.

Estimated production Units during life of machine = 120,000 Miles

Bus’s Depreciable Cost = Cost of Asset – Salvage Value = $92,000 – 8,000 = $84,000

Under the units of production method, the Bus’s depreciable cost of $84,000 is divided by estimated activity during the life of asset 120,000 Miles, resulting in depreciation of $0.70 per mile

Depreciation Expense $0.70 per mile

Part 2 --- Accumulated Depreciation for all bus till Dec 31, 2019

Bus 1 --- Method Straight line method of depreciation

Straight line method is a method of calculating depreciation of an asset.

Under this method depreciation is calculated by dividing depreciable asset value by estimated useful life.

Depreciable Asset Value = Cost of Asset – Salvage Value

In this method, depreciation for each year remains same.

Mathematically,

Annual Depreciation = (Cost of Asset – Salvage Value) / Useful life

Annual Depreciation = (96,000 – 6000) / 5 = $18,000

Bus 1

Depreciation Schedule

(Straight Line Method)

Year

Depreciation Expense

12/31/2017

$18,000

12/31/2018

$18,000

12/31/2019

$18,000

Total

$54,000

Bus 2 --- Accumulated Depreciation at Dec 31, 2019 – Declining Balance method

Double Declining Depreciation Method

It is a method of depreciation used by the companies when they want to quickly depreciate an asset.

The asset will depreciate much faster under this method than straight-line because we double the percentage that would be depreciated each year under straight-line.

Salvage value is not subtracted from Cost of Asset when depreciation is calculated by using this method.

The formula for double declining balance is:

Annual depreciation = Book Value * 100% / life * 2

Calculate the percentage that should be used first.

Depreciation Rate = 100% / Useful Life x 2 = 100% / 4 x 2 = 50%

Year

DDB Depreciation for the period

End of Period

Beginning of period book value

Depreciation Rate

Depreciation Expenses

Accumulated Depreciation

Book Value

1/1/2017

110,000

50%

55,000

55,000

55,000

12/31/2017

55,000

50%

27,500

82,500

27,500

12/31/2018

27,500

50%

13,750

96,250

13,750

12/31/2019

13,750

50%

6,875

3,750

103,125

100,000

6,875

10,000

Note --- The annual depreciation for Year ending 2019 is more than the amount of remaining depreciation we are allowed to take on the asset. Therefore, we cannot take the full amount of depreciation calculated. Instead, we are limited to $3,750 in Year 3.

Bus 2 --- Accumulated Depreciation at Dec 31, 2019 = $100,000

Bus 3 --- Accumulated Depreciation at Dec 31, 2019 ---- Units of Activity Method of Depreciation

Year

Activity Usage (Miles)

Depreciation Rate per miles

Depreciation (Miles x Rate per Miles)

31/12/18

24,000

$0.70

$16,800

31/12/19

34,000

$0.70

$23,800

Total

$40,600

Bus 3 --- Accumulated Depreciation at Dec 31, 2019 = $40,600

Summary of Accumulated Depreciation

Accumulated Depreciation at Dec 31, 2019

BUS 1

$54,000

BUS 2

$100,000

BUS 3

$40,600

Part 3 ---- If Bus 2 was purchased on April 1 --- then Depreciation Expense for 2017 & 2018

Refer Working for part 2 ---- 2017 Depreciation Expenses is for 9 months = 55,000*9/12 = $41,250

Book Value as on Jan 1, 2018 = 110,000 – 41,250 = $68,750

Depreciation for 2018 = Beginning Book Value 68,750 * 50% = $34,375

Hope the above calculations, working and explanations are clear to you and help you in understanding the concept of question.... please rate my answer...in case any doubt, post a comment and I will try to resolve the doubt ASAP…thank you

Bus 1

Depreciation Schedule

(Straight Line Method)

Year

Depreciation Expense

12/31/2017

$18,000

12/31/2018

$18,000

12/31/2019

$18,000

Total

$54,000

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