First question with all sub parts is being answered here:
a. Under double declining balance method, depreciation is calculated by the following formula:
Depreciation = 2 * 1 / N * (Cost - Accumulated depreciation)
where, n is the no. of years or useful life and accumulated depreciation is depreciation charged till date
For first year i.e. 2018, accumulated depreciation will be zero.
So, depreciation for first year 2018 will be:
Depreciation for 2018 = 2 * 1 / 4 * ($38800 - 0)
Depreciation = 2 * 1 / 4 * $38800 = $19400
Now, in 2019, accumulated depreciation will be $19400 (i.e. depreciation charged till date is depreciation for 2018)
Depreciation for 2019 will be:
Depreciation = 2 * 1 / 4 * ($38800 - $19400) = 2 * 1 / 4 * $19400 = $9700
Now, in 2020, accumulated depreciation will be $19400 + $9700 = $29100 (i.e. depreciation charged till date is depreciation for 2019)
Depreciation for 2020 will be:
Depreciation = 2 * 1 / 4 * ($38800 - $29100) = 2 * 1 / 4 * $9700 = $4850
Now, in 2021, accumulated depreciation will be $19400 + $9700 + $4850 = $33950 (i.e. depreciation charged till date is depreciation for 2020)
Depreciation for 2021 will be:
Depreciation = 2 * 1 / 4 * ($38800 - $33950) = 2 * 1 / 4 * $4850 = $2425
Total accumulated depreciation in 2021 = $19400 + $9700 + $4850 + $4850 = $38800
b. Under units of production method, first we will calculate the cost per unit and then we will calculate the depreciation expense.
Cost per unit = Cost - Salvage value / Estimated units
Estimated units = 1500000
Cost per unit = ($38800 - $1552) / 1500000 = $37248 / 1500000 = $0.025 per unit
In the next step, we will compute the depreciation expense as per below:
Depreciation expense = Cost per unit * No. of units produced
Depreciation for 2018 :
No. of units/ pages produced in 2018 was 551100, so
Depreciation for 2018 = $0.025 * 551100 = $13777
Depreciation for 2019:
No. of units / pages produced in 2019 was 483000, so
Depreciation for 2019 = $0.025 * 483000 = $12075
Depreciation for 2020:
No. of units / pages produced in 2020 was 383300, so
Depreciation for 2020 = $0.025 * 383300 = $9582.5
Depreciation for 2021:
Accumulated or total depreciation till this point = $13777 + $12075 + $9582 = $35434
In 2021, depreciation will be provided till salvage value of the printer, which is $1552. So, in 2021, depreciation expense will be:
Depreciation for 2021 = $38800 - $1552 - $35434 = $1814
Accumulated depreciation in 2021 = $13777 + $12075 + $9582 + $1814 = $37248
c. Calculation of gain or loss under double declining balance method:
Printer was sold in 2021 for $1752.
For calculating the gain or loss, we need to check the carrying value of the printer in 2021. Carrying value is:
Carrying value = Cost - Accumulated depreciation in 2021
Carrying value = $38800 - $38800 = $0
Now, Gain or loss = Sale - carrying value in 2021
Gain or loss = $1752 - $0 = $1752 (gain)
Calculation of gain or loss under units of production method:
Printer was sold in 2021 for $1752.
For calculating the gain or loss, we need to check the carrying value of the printer in 2021. Carrying value is:
Carrying value = Cost - Accumulated depreciation in 2021
Carrying value = $38800 - $37248 = $1552
Now, Gain or loss = Sale - carrying value in 2021
Gain or loss = $1752 - $1552 = $200 (gain)
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