Question
The following information is for the financial year 1 March 2024 – 28 February 2025 during a time of low inflation. Calculate the book value for the asset using the straight-line method. Assume that the asset was bought at the beginning of the given year.
Farm asset
Purchase date/year
Cost price
Replacement value
Age
Expected lifetime (years)
Irrigation main line
2015
R650 000
R850 000
10
20
a.
R510 000
b.
R260 000
c.
R590 000
d.
R325 000
e.
None of the above
Farm asset
Purchase date/year
Cost price
Replacement value
Age
Expected lifetime (years)
Irrigation main line
2015
R650 000
R850 000
10
20
a.
R510 000
b.
R260 000
c.
R590 000
d.
R325 000
e.
None of the above
Answers
GPT-4o mini
To calculate the book value of the asset using the straight-line method, we need the following information:
1. **Cost Price of the Asset**: R650,000
2. **Expected Lifetime of the Asset**: 20 years
3. **Age of the Asset**: 10 years
The straight-line depreciation method formula is:
\[
\text{Depreciation Expense per Year} = \frac{\text{Cost Price}}{\text{Expected Lifetime}}
\]
Calculating the annual depreciation:
\[
\text{Depreciation Expense per Year} = \frac{R650,000}{20} = R32,500
\]
Next, we calculate the total depreciation for the asset over its age of 10 years:
\[
\text{Total Depreciation} = \text{Depreciation Expense per Year} \times \text{Age} = R32,500 \times 10 = R325,000
\]
Finally, we calculate the book value of the asset:
\[
\text{Book Value} = \text{Cost Price} - \text{Total Depreciation} = R650,000 - R325,000 = R325,000
\]
Therefore, the book value for the asset is **R325,000**.
The correct answer is **d. R325,000**.
1. **Cost Price of the Asset**: R650,000
2. **Expected Lifetime of the Asset**: 20 years
3. **Age of the Asset**: 10 years
The straight-line depreciation method formula is:
\[
\text{Depreciation Expense per Year} = \frac{\text{Cost Price}}{\text{Expected Lifetime}}
\]
Calculating the annual depreciation:
\[
\text{Depreciation Expense per Year} = \frac{R650,000}{20} = R32,500
\]
Next, we calculate the total depreciation for the asset over its age of 10 years:
\[
\text{Total Depreciation} = \text{Depreciation Expense per Year} \times \text{Age} = R32,500 \times 10 = R325,000
\]
Finally, we calculate the book value of the asset:
\[
\text{Book Value} = \text{Cost Price} - \text{Total Depreciation} = R650,000 - R325,000 = R325,000
\]
Therefore, the book value for the asset is **R325,000**.
The correct answer is **d. R325,000**.