
Concept explainers
Depreciation is the amount of decrease in the value of an asset within a set time period due to wear and tear of that particular asset. It helps in readjusting the actual cost of the particular asset o which the depreciation is applied.
Double Declining Balance Method:
It is a method of depreciation in which the rate of depreciation is double the rate of
Straight Line Depreciation:
Straight line depreciation is one of the methods of depreciation in which fixed rate of depreciation is provided throughout the course of depreciation on a particular asset.
Units of Production Depreciation Method:
This is a method of depreciation where the depreciation is not applied as straight line and is calculated with respect to the units that a particular asset produces gives.
The amount of depreciation.

Explanation of Solution
Given,
Cost of machine is $324,000.
Salvage value is $30,000.
Formula to calculate Depreciable cost:
- Depreciable cost=Cost of machine−Salvage value
Substitute $257,000 as cost of machine and $20,000 as salvage value,
- Depreciable cost=$324,000−$30,000=$294,000
Total depreciable cost is $294,000.
Computation of depreciation amount:
Year | Straight line ($) | Units of production ($) | Double Declining Balance ($) |
1 | 58,800 | 71,120 | 128,750 |
2 | 58,800 | 64,080 | 64,375 |
3 | 58,800 | 63,400 | 32,188 |
4 | 58,800 | 68,720 | 12,187 |
5 | 58,800 | 26,680 | 11,990 |
Total | 294,000 | 294,000 | 294,000 |
Working Notes:
Straight line method
Calculate Depreciation:
- Depreciation=(Cost of the asset−Residual value)Useful life=$324,000−$30,0005=$294,0005=$58,800
Depreciation that will be charged in the 4 years with respect to straight line method is $58,800.
Year 1
Calculate depreciation with respect to units of production:
- Depreciation per unit=(Cost of the asset−Salvage value)Useful life in units=$324,000−$30,000$1,470,000 units=$294,0001,470,000=0.2 per unit
Depreciation per unit is 0.2.
Computation of depreciation,
- Depreciation=Total units produced in 1st year×Depreciation per unit=$355,600×0.2=$71,120
Depreciation that will be charged in the first year is $71,120.
Year 2
Given,
Units produced are $320,400.
Depreciation per unit is 0.2 per unit.
Computation of Depreciation:
- Depreciation=Total units produced in 2nd year×Depreciation per unit=$320,400×0.2=$64,080
Depreciation that will be charged in the second year is $64,080.
Year 3
Depreciation per unit is 0.2 per unit.
Computation of Depreciation:
- Depreciation=Total units produced in 3rd year×Depreciation per unit=$317,000×0.2=$63,400
Depreciation that will be charged in the third year is $63,400.
Year 4
Depreciation per unit is 0.2 per unit.
Computation of Depreciation:
- Depreciation=Total units produced in 4th year×Depreciation per unit=$343,600×0.2=$68,720
Depreciation charged in the 4th year is $68,720.
Year 5
Depreciation per unit is 0.2 per unit.
Computation of Depreciation:
- Depreciation=Total units produced in 4th year×Depreciation per unit=$138,500×0.2=$27,700
But the depreciation will be charged $26,680 only as depreciation can’t be charged on the salvage value of the asset.
Double Declining Balance method
Computation of Depreciation rate:
- Double declining depreciation rate=100%Useful years×2=100%5×240%
Double declining depreciation rate is 40%.
Year 1
Computation of depreciation in the first year:
- Depreciation=Cost of the machine×Depreciation rate=$324,000×40%=$129,600.
Depreciation that will be charged in the first year is $129,600.
Year 2
Computation of book value in year 2:
- Book value=Cost of the asset−Depreciation=$324,000−$129,600=$194,400
Book value at the beginning of the second year is $194,400.
Computation of depreciation in the second year:
- Depreciation=Cost of the machine×Depreciation rate=$194,400×40%=$77,760.
Depreciation that will be charged in the second year is $77,760.
Year 3
Book value of the asset in the year 2 is $194,400.
Computation of book value in year 3:
- Book value=Cost of the asset−Depreciation=$194,400−$77,760=$116,640
Book value at the beginning of the third year is $116,640.
Computation of depreciation in the third year:
- Depreciation=Cost of the machine×Depreciation rate=$116,640×40%=$46,656
Depreciation that will be charged in the third year is $46,656.
Year 4
Book value of the asset in the year 3 is $116,640.
Computation of book value in year 4:
- Book value=Cost of the asset−Depreciation=$116,640−$46,656=$69,984
Computation of depreciation in the 4th year:
- Depreciation=Cost of the machine×Depreciation rate=$69,984×40%=$27,994
Depreciation that will be charged in the 5th year is $27,994.
Year 5
Book value of the asset in the year 4 is $69,984.
Computation of book value in year 5:
- Book value=Cost of the asset−Depreciation=$69,984−$27,994=$41,990
Computation of depreciation in the 5th year:
- Depreciation=Cost of the machine×Depreciation rate=$41,990×40%=$16,796
But the depreciation charged will only be 11,990 as the depreciation can’t be charged from the salvage value of the asset.
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Chapter 8 Solutions
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