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A machine which was bought for $180,000 on 30 April 2008. The residual value was $5,000 and depreciation rate was 25%. Depreciation is to be charged under the reducing balance method on month to month basis. Compute the depreciation at 31st December 2008
  • a)
    $30,000
  • b)
    $19,000
  • c)
    $18,000
  • d)
    $15,000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A machine which was bought for $180,000 on 30 April 2008. The residual...
Given:
  1. Purchase price of the machine: $180,000
  2. Residual value: $5,000
  3. Depreciation rate: 25% per annum
  4. Method: Reducing balance method
  5. Purchase date: 30 April 2008
  6. Depreciation period: From 30 April 2008 to 31 December 2008 (8 months)
Step 1: Calculate annual depreciation
Depreciation for a year using the reducing balance method = Cost of asset × Depreciation rate
Annual depreciation = $180,000 × 25% = $45,000
Step 2: Calculate depreciation for 8 months
Since depreciation is calculated month-to-month, we only need to calculate depreciation for 8 months (from 30 April 2008 to 31 December 2008).
Depreciation for 8 months = 8/12​ of annual depreciation
Step 3: Reducing balance at 31 December 2008
The depreciation expense for the period from 30 April 2008 to 31 December 2008 is $30,000.
Thus, the depreciation at 31 December 2008 is $30,000.
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Most Upvoted Answer
A machine which was bought for $180,000 on 30 April 2008. The residual...
In reducing bal method salvage value ignored . now 180000*8/12 * 25 = 30000

machine purchased for 8 months
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Community Answer
A machine which was bought for $180,000 on 30 April 2008. The residual...
Given:
Cost of machine = $180,000
Residual value = $5,000
Depreciation rate = 25%
Depreciation method = Reducing balance method

To find:
Depreciation at 31st December 2008

Solution:
First, we need to calculate the depreciation rate per month.
Depreciation rate per year = 25%
Depreciation rate per month = 25%/12 = 2.08%

Depreciation for the first month (May 2008):
Depreciation = (Cost of machine - Residual value) x Depreciation rate per month
Depreciation = ($180,000 - $5,000) x 2.08%
Depreciation = $3,655.20

Net book value at the end of May 2008:
Net book value = Cost of machine - Depreciation for May
Net book value = $180,000 - $3,655.20
Net book value = $176,344.80

Depreciation for the second month (June 2008):
Depreciation = (Net book value at the end of May - Residual value) x Depreciation rate per month
Depreciation = ($176,344.80 - $5,000) x 2.08%
Depreciation = $3,663.14

Net book value at the end of June 2008:
Net book value = Net book value at the end of May - Depreciation for June
Net book value = $176,344.80 - $3,663.14
Net book value = $172,681.66

Similarly, we can calculate the depreciation and net book value for each month from July to December.

Depreciation for July 2008 = $3,671.12
Net book value at the end of July 2008 = $169,010.54

Depreciation for August 2008 = $3,679.13
Net book value at the end of August 2008 = $165,331.41

Depreciation for September 2008 = $3,687.15
Net book value at the end of September 2008 = $161,644.56

Depreciation for October 2008 = $3,695.18
Net book value at the end of October 2008 = $157,949.36

Depreciation for November 2008 = $3,703.22
Net book value at the end of November 2008 = $154,245.94

Depreciation for December 2008 = $3,711.27
Net book value at the end of December 2008 = $150,534.94

Therefore, the depreciation at 31st December 2008 is $3,711.27.
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A machine which was bought for $180,000 on 30 April 2008. The residual value was $5,000 and depreciation rate was 25%. Depreciation is to be charged under the reducing balance method on month to month basis. Compute the depreciation at 31st December 2008a)$30,000b)$19,000c)$18,000d)$15,000Correct answer is option 'A'. Can you explain this answer?
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