Depreciation Reducing Balance
1. **Problem Statement:** Calculate the depreciation for equipment costing P85,000 with a residual value of P25,000 over 5 years using the reducing balance method at 10% for the first three years.
2. **Formula and Explanation:** The reducing balance depreciation method calculates depreciation as a fixed percentage of the book value at the beginning of each year. The formula is:
$$\text{Depreciation} = \text{Book Value at Beginning of Year} \times \text{Depreciation Rate}$$
Important: The book value decreases each year by the depreciation charged.
3. **Calculations:**
- Initial cost = P85,000
- Depreciation rate = 10% per year
**Year 1:**
$$\text{Depreciation}_1 = 85,000 \times 0.10 = 8,500$$
$$\text{Book Value}_1 = 85,000 - 8,500 = 76,500$$
**Year 2:**
$$\text{Depreciation}_2 = 76,500 \times 0.10 = 7,650$$
$$\text{Book Value}_2 = 76,500 - 7,650 = 68,850$$
**Year 3:**
$$\text{Depreciation}_3 = 68,850 \times 0.10 = 6,885$$
$$\text{Book Value}_3 = 68,850 - 6,885 = 61,965$$
4. **Summary:**
- Year 1 depreciation: P8,500
- Year 2 depreciation: P7,650
- Year 3 depreciation: P6,885
The reducing balance method results in decreasing depreciation charges each year as the book value reduces.
**Final Answer:**
Depreciation for the first three years are P8,500, P7,650, and P6,885 respectively.