Question
Rate of depreciation:
* Initial cost: 125000
* Cost after 2 years: 88200
* Initial cost: 125000
* Cost after 2 years: 88200
Answers
Answered by
GPT-4o mini
To calculate the rate of depreciation, you can use the formula:
\[
\text{Depreciation Rate} = \frac{\text{Initial Cost} - \text{Cost after 2 years}}{\text{Initial Cost}} \times 100
\]
Plugging in the numbers:
- Initial Cost = 125,000
- Cost after 2 years = 88,200
First, calculate the total depreciation over the 2 years:
\[
\text{Total Depreciation} = 125,000 - 88,200 = 36,800
\]
Now, calculate the depreciation rate:
\[
\text{Depreciation Rate} = \frac{36,800}{125,000} \times 100
\]
Calculating this gives:
\[
\text{Depreciation Rate} = 0.2944 \times 100 \approx 29.44\%
\]
Next, divide the total depreciation by the number of years to find the annual depreciation rate:
\[
\text{Annual Depreciation Rate} = \frac{29.44\%}{2} \approx 14.72\%
\]
So, the total depreciation rate over the 2 years is approximately **29.44%**, and the average annual depreciation rate is approximately **14.72%**.
\[
\text{Depreciation Rate} = \frac{\text{Initial Cost} - \text{Cost after 2 years}}{\text{Initial Cost}} \times 100
\]
Plugging in the numbers:
- Initial Cost = 125,000
- Cost after 2 years = 88,200
First, calculate the total depreciation over the 2 years:
\[
\text{Total Depreciation} = 125,000 - 88,200 = 36,800
\]
Now, calculate the depreciation rate:
\[
\text{Depreciation Rate} = \frac{36,800}{125,000} \times 100
\]
Calculating this gives:
\[
\text{Depreciation Rate} = 0.2944 \times 100 \approx 29.44\%
\]
Next, divide the total depreciation by the number of years to find the annual depreciation rate:
\[
\text{Annual Depreciation Rate} = \frac{29.44\%}{2} \approx 14.72\%
\]
So, the total depreciation rate over the 2 years is approximately **29.44%**, and the average annual depreciation rate is approximately **14.72%**.