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Depreciation by Three Methods; Partial Years Razar Sharp Company purchased equip

ID: 2475113 • Letter: D

Question

Depreciation by Three Methods; Partial Years

Razar Sharp Company purchased equipment on July 1, 2012, for $52,650. The equipment was expected to have a useful life of three years, or 3,780 operating hours, and a residual value of $1,620. The equipment was used for 700 hours during 2012, 1,300 hours in 2013, 1,100 hours in 2014, and 680 hours in 2015.

Required:

Determine the amount of depreciation expense for the years ended December 31, 2012, 2013, 2014, and 2015, by (a) the straight-line method, (b) units-of-output method, and (c) the double-declining-balance method.

Note: FOR DECLINING BALANCE ONLY, round the multiplier to four decimal places. Then round the answer for each year to the nearest whole dollar.

a. Straight-line method

b. Units-of-output method

c. Double-declining-balance method

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Asset cost minus residual value equals depreciable cost. Sum the yearly depreciation to determine total depreciation.

Annual units-of-output depreciation allocates the cost of the asset equally over the units produced (hours).

The double-declining rate is two times the straight-line rate. Book value is the asset cost minus accumulated depreciation. In the first year, the balance in the accumulated depreciation account is zero.

Compare the total depreciation for all methods over the time period. Recall that straight-line depreciation allocates the depreciable cost of the asset equally over the period of use, while double-declining method is an accelerated method.

Learning Objective 2.

Depreciation by Three Methods; Partial Years

Razar Sharp Company purchased equipment on July 1, 2012, for $52,650. The equipment was expected to have a useful life of three years, or 3,780 operating hours, and a residual value of $1,620. The equipment was used for 700 hours during 2012, 1,300 hours in 2013, 1,100 hours in 2014, and 680 hours in 2015.

Required:

Determine the amount of depreciation expense for the years ended December 31, 2012, 2013, 2014, and 2015, by (a) the straight-line method, (b) units-of-output method, and (c) the double-declining-balance method.

Note: FOR DECLINING BALANCE ONLY, round the multiplier to four decimal places. Then round the answer for each year to the nearest whole dollar.

a. Straight-line method

Year Amount 2012 $ 2013 $ 2014 $ 2015 $

b. Units-of-output method

Year Amount 2012 $ 2013 $ 2014 $ 2015 $

c. Double-declining-balance method

Year Amount 2012 $ 2013 $ 2014 $ 2015 $

Explanation / Answer

a.Straight-line method:

Depreciation p.a = Cost of Asset- Salvage Value/ Life of Asset
                             =$52,650-$1,620/3

                              =$51,030/3

                              =$17,010

b) Units-of-output method

Depreciation per unit = Cost of Asset- Salvage Value/ expected no of operating hours

                                         =$52,650-$1,620/3,780

                                           =$51,030/3,780

                                 =$13.50

c. Double-declining-balance method

Depreciation % under Straight-line method =1/ years = 33.33%

Depreciation % under Double decline method =2 x Depreciation % under Straight-line method

                                                                                     =2 x 33.33% =66.667%

Straight Line Method

Year

Book Value of Beg yr

Annual Dep

Accu Depr

Ending Book Value

2012

                             52,650

                                          8,505

                           8,505

                          44,145

2013

                             44,145

                                        17,010

                        25,515

                          27,135

2014

                             27,135

                                        17,010

                        42,525

                          10,125

2015

                             10,125

                                          8,505

                        51,030

                            1,620

Double Declining Method

Year

Book Value of Beg yr

Dep Rate

=

Annual Dep

Accu Depr

Book Value

2012

                             52,650

                                                33

=

                          17,550

           17,550

           35,100

2013

                             35,100

                                                67

=

                          23,400

           40,950

           11,700

2014

                             11,700

                                                67

=

                            7,800

           48,750

             3,900

2015

                                3,900

                                                33

=

                            2,280

           51,030

             1,620

Units-of-output method

Year

Book Value of Beg yr

Dep per hr

No of Hrs worked

Annual Dep

Accu Depr

Book Value

2012

                             52,650

                                          13.50

700

                            9,450

             9,450

           43,200

2013

                             43,200

                                          13.50

1300

                          17,550

           27,000

           25,650

2014

                             25,650

                                          13.50

1100

                          14,850

           41,850

           10,800

2015

                             10,800

                                          13.50

680

                            9,180

           51,030

             1,620

Straight Line Method

Year

Book Value of Beg yr

Annual Dep

Accu Depr

Ending Book Value

2012

                             52,650

                                          8,505

                           8,505

                          44,145

2013

                             44,145

                                        17,010

                        25,515

                          27,135

2014

                             27,135

                                        17,010

                        42,525

                          10,125

2015

                             10,125

                                          8,505

                        51,030

                            1,620

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