Math Problem Statement

In illustration → Computer Cost = Rs 100,000, Salvage value = Rs 10,000, Useful life = 5 years. After Year 2, the useful life is revised to 6 years and the salvage value to Rs 4,000. Perform depreciation calculations using the Straight Line Method (SLM).

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:

  1. Cost: Rs 1,00,000 (the cost of the computer).
  2. Salvage Value: Rs 10,000 (initially estimated).
  3. Depreciable Amount: Rs 90,000 (Cost - Salvage Value = 1,00,000 - 10,000).
  4. 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).
  5. Depreciation for Year 2: Rs 18,000 (same as Year 1 since it's straight-line depreciation).
  6. Accumulated Depreciation after 2 years: Rs 36,000 (18,000 + 18,000).
  7. Carrying Amount (book value after Year 2): Rs 64,000 (Cost - Accumulated Depreciation = 1,00,000 - 36,000).

Revised Depreciation Calculation (after Year 2):

  1. Revised Salvage Value: Rs 4,000 (new estimate).
  2. Revised Useful Life: 6 years (increased from 5 years).
  3. Remaining Useful Life: 4 years (as 2 years have already passed).
  4. Depreciable Amount after Revision: Rs 60,000 (Carrying Amount - Revised Salvage Value = 64,000 - 4,000).
  5. 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:

  1. How is depreciation calculated using other methods like the declining balance method?
  2. What are the key differences between useful life and salvage value?
  3. How would the carrying amount change if the salvage value was further revised in the future?
  4. Can you apply this method to an asset with a varying rate of depreciation each year?
  5. 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)