Math Problem Statement
Solution
The image provides an illustration of a depreciation scenario using the Straight Line Method (SLM). Let's break it down step by step:
Original Depreciation Calculation:
- Cost: Rs 1,00,000 (the cost of the computer).
- Salvage Value: Rs 10,000 (initially estimated).
- Depreciable Amount: Rs 90,000 (Cost - Salvage Value = 1,00,000 - 10,000).
- Depreciation for Year 1: Rs 18,000 (calculated as the depreciable amount divided by the useful life of 5 years: 90,000 ÷ 5 = 18,000).
- Depreciation for Year 2: Rs 18,000 (same as Year 1 since it's straight-line depreciation).
- Accumulated Depreciation after 2 years: Rs 36,000 (18,000 + 18,000).
- Carrying Amount (book value after Year 2): Rs 64,000 (Cost - Accumulated Depreciation = 1,00,000 - 36,000).
Revised Depreciation Calculation (after Year 2):
- Revised Salvage Value: Rs 4,000 (new estimate).
- Revised Useful Life: 6 years (increased from 5 years).
- Remaining Useful Life: 4 years (as 2 years have already passed).
- Depreciable Amount after Revision: Rs 60,000 (Carrying Amount - Revised Salvage Value = 64,000 - 4,000).
- Depreciation Amount per Year (for the remaining 4 years): Rs 15,000 (Depreciable Amount ÷ Remaining Useful Life = 60,000 ÷ 4).
Would you like further details or clarification on any specific step?
Here are 5 related questions to expand your understanding:
- How is depreciation calculated using other methods like the declining balance method?
- What are the key differences between useful life and salvage value?
- How would the carrying amount change if the salvage value was further revised in the future?
- Can you apply this method to an asset with a varying rate of depreciation each year?
- How does accumulated depreciation impact a company’s balance sheet?
Tip: Always reassess useful life and salvage value periodically to ensure the most accurate depreciation calculations.
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Math Problem Analysis
Mathematical Concepts
Depreciation
Straight-Line Method
Revised Depreciation Calculations
Formulas
Depreciable Amount = Cost - Salvage Value
Depreciation per Year = Depreciable Amount / Useful Life
Accumulated Depreciation = Depreciation per Year × Number of Years
Carrying Amount = Cost - Accumulated Depreciation
Theorems
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Suitable Grade Level
Undergraduate (Finance/Accounting)
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