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Sagot :
Sure, let's break down the depreciation calculations for Dalehe San Bod's assets using the given reducing balance method and depreciation rates for each transaction.
### Depreciation Terms:
- Reducing Balance Method: Depreciation is calculated based on the remaining balance of the asset at the beginning of each period.
- Depreciation Period: The time from the purchase date to the end of the financial year (31 August 2008).
- Depreciation Rates:
- Machinery: 20% per year
- Motor Vehicles: 10% per year
- Computers: 10% per year
### Calculation of Depreciation:
#### 1. Motor Vehicle Purchased on 11 July 2006 for RM60,000
- Purchase Date: 11 July 2006
- Cost: RM60,000
- Depreciation Rate: 10% per year
- Depreciation Period: From 11 July 2006 to 31 August 2008
Step-by-Step Calculation:
1. Calculate the number of years from 11 July 2006 to 31 August 2008:
- From 11 July 2006 to 31 August 2008: Approximately [tex]\(2 + \frac{(August - July + Days from 11 to end of July)}{12}\)[/tex]
- Thus, number of years = [tex]\(2 + \frac{(1 + 20)}{12} = 2 + \frac{21}{12} \approx 2 + 1.75 = 2.08\)[/tex] years.
2. Apply the reducing balance formula:
- Remaining Balance = 60,000 (1 - 0.10)^2.08
Depreciation Amount:
[tex]\[ \text{Depreciation amount} = RM49,897.14 \][/tex]
#### 2. Machinery Purchased on 1 August 2006 for RM230,000
- Purchase Date: 1 August 2006
- Cost: RM230,000
- Depreciation Rate: 20% per year
- Depreciation Period: From 1 August 2006 to 31 August 2008
- Number of years = [tex]\(2\)[/tex] years (no additional months required)
Step-by-Step Calculation:
1. Remaining Balance = 230,000 (1 - 0.20)^2
Depreciation Amount:
[tex]\[ \text{Depreciation amount} = RM147,200.00 \][/tex]
#### 3. Computer Purchased on 20 November 2007 for RM8,700
- Purchase Date: 20 November 2007
- Cost: RM8,700
- Depreciation Rate: 10% per year
- Depreciation Period: From 20 November 2007 to 31 August 2008
Step-by-Step Calculation:
1. Calculate the number of years from 20 November 2007 to 31 August 2008:
- From 20 November 2007 to 31 August 2008: Approximately [tex]\( \frac{(Days from 20 November to end of November) + December to August}{12}\)[/tex]
Number of years = [tex]\( \frac{10}{30} + \frac{9}{12} = 0.03 + 0.75 \approx 0.78 \)[/tex] years.
2. Apply the reducing balance formula:
- Remaining Balance = 8,700 (1 - 0.10)^0.78
Depreciation Amount:
[tex]\[ \text{Depreciation amount} = RM8,038.98 \][/tex]
#### 4. Motor Vehicle Purchased on 14 May 2008 for RM80,000
- Purchase Date: 14 May 2008
- Cost: RM80,000
- Depreciation Rate: 10% per year
- Depreciation Period: From 14 May 2008 to 31 August 2008
Step-by-Step Calculation:
1. Calculate the number of years from 14 May 2008 to 31 August 2008:
- From 14 May 2008 to 31 August 2008: Approximately [tex]\( \frac{May to August}{12} = \frac{4}{12} \approx 0.33 \)[/tex] years.
2. Apply the reducing balance formula:
- Remaining Balance = 80,000 (1 - 0.10)^0.33
Depreciation Amount:
[tex]\[ \text{Depreciation amount} = RM77,920.30 \][/tex]
#### Summary of Depreciation Results:
1. Motor Vehicle (11 July 2006):
- Depreciation amount: RM49,897.14
2. Machinery (1 August 2006):
- Depreciation amount: RM147,200.00
3. Computer (20 November 2007):
- Depreciation amount: RM8,038.98
4. Motor Vehicle (14 May 2008):
- Depreciation amount: RM77,920.30
These calculations provide the depreciated values of the assets for Dalehe San Bod as of 31 August 2008.
### Depreciation Terms:
- Reducing Balance Method: Depreciation is calculated based on the remaining balance of the asset at the beginning of each period.
- Depreciation Period: The time from the purchase date to the end of the financial year (31 August 2008).
- Depreciation Rates:
- Machinery: 20% per year
- Motor Vehicles: 10% per year
- Computers: 10% per year
### Calculation of Depreciation:
#### 1. Motor Vehicle Purchased on 11 July 2006 for RM60,000
- Purchase Date: 11 July 2006
- Cost: RM60,000
- Depreciation Rate: 10% per year
- Depreciation Period: From 11 July 2006 to 31 August 2008
Step-by-Step Calculation:
1. Calculate the number of years from 11 July 2006 to 31 August 2008:
- From 11 July 2006 to 31 August 2008: Approximately [tex]\(2 + \frac{(August - July + Days from 11 to end of July)}{12}\)[/tex]
- Thus, number of years = [tex]\(2 + \frac{(1 + 20)}{12} = 2 + \frac{21}{12} \approx 2 + 1.75 = 2.08\)[/tex] years.
2. Apply the reducing balance formula:
- Remaining Balance = 60,000 (1 - 0.10)^2.08
Depreciation Amount:
[tex]\[ \text{Depreciation amount} = RM49,897.14 \][/tex]
#### 2. Machinery Purchased on 1 August 2006 for RM230,000
- Purchase Date: 1 August 2006
- Cost: RM230,000
- Depreciation Rate: 20% per year
- Depreciation Period: From 1 August 2006 to 31 August 2008
- Number of years = [tex]\(2\)[/tex] years (no additional months required)
Step-by-Step Calculation:
1. Remaining Balance = 230,000 (1 - 0.20)^2
Depreciation Amount:
[tex]\[ \text{Depreciation amount} = RM147,200.00 \][/tex]
#### 3. Computer Purchased on 20 November 2007 for RM8,700
- Purchase Date: 20 November 2007
- Cost: RM8,700
- Depreciation Rate: 10% per year
- Depreciation Period: From 20 November 2007 to 31 August 2008
Step-by-Step Calculation:
1. Calculate the number of years from 20 November 2007 to 31 August 2008:
- From 20 November 2007 to 31 August 2008: Approximately [tex]\( \frac{(Days from 20 November to end of November) + December to August}{12}\)[/tex]
Number of years = [tex]\( \frac{10}{30} + \frac{9}{12} = 0.03 + 0.75 \approx 0.78 \)[/tex] years.
2. Apply the reducing balance formula:
- Remaining Balance = 8,700 (1 - 0.10)^0.78
Depreciation Amount:
[tex]\[ \text{Depreciation amount} = RM8,038.98 \][/tex]
#### 4. Motor Vehicle Purchased on 14 May 2008 for RM80,000
- Purchase Date: 14 May 2008
- Cost: RM80,000
- Depreciation Rate: 10% per year
- Depreciation Period: From 14 May 2008 to 31 August 2008
Step-by-Step Calculation:
1. Calculate the number of years from 14 May 2008 to 31 August 2008:
- From 14 May 2008 to 31 August 2008: Approximately [tex]\( \frac{May to August}{12} = \frac{4}{12} \approx 0.33 \)[/tex] years.
2. Apply the reducing balance formula:
- Remaining Balance = 80,000 (1 - 0.10)^0.33
Depreciation Amount:
[tex]\[ \text{Depreciation amount} = RM77,920.30 \][/tex]
#### Summary of Depreciation Results:
1. Motor Vehicle (11 July 2006):
- Depreciation amount: RM49,897.14
2. Machinery (1 August 2006):
- Depreciation amount: RM147,200.00
3. Computer (20 November 2007):
- Depreciation amount: RM8,038.98
4. Motor Vehicle (14 May 2008):
- Depreciation amount: RM77,920.30
These calculations provide the depreciated values of the assets for Dalehe San Bod as of 31 August 2008.
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