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The annual depreciation of an asset is independent of:-

Solution

✅ Correct Option: 3

Depreciation represents the loss in value of an asset over time.

The basic formula for annual depreciation:

Annual Depreciation =Original Cost−Scrap ValueUseful Life= \frac{\text{Original Cost} - \text{Scrap Value}}{\text{Useful Life}}


Consider useful life:

For a machine costing 10,000withscrapvalue10,000 with scrap value 0:

  • With useful life of 5 years: Annual Depreciation =10,0005=2,000= \frac{10,000}{5} = 2,000
  • With useful life of 10 years: Annual Depreciation =10,00010=1,000= \frac{10,000}{10} = 1,000

Useful life affects depreciation.


Consider original cost:

For an asset with useful life 5 years and scrap value $0:

  • With cost of 5,000:AnnualDepreciation5,000: Annual Depreciation = \frac{5,000}{5} = 1,000$
  • With cost of 10,000:AnnualDepreciation10,000: Annual Depreciation = \frac{10,000}{5} = 2,000$

Original cost affects depreciation.


Consider profit gained:

A taxi purchased for 20,000withusefullife5yearsandscrapvalue20,000 with useful life 5 years and scrap value 0:

Annual Depreciation =20,0005=4,000= \frac{20,000}{5} = 4,000

Whether the taxi earns 50,000profitperyearor50,000 profit per year or 5,000 profit per year, the annual depreciation remains $4,000.

Depreciation depends on the asset's value reduction over time, not on the profit generated from using the asset.


Consider scrap value:

For equipment costing $10,000 with useful life 5 years:

  • With scrap value 0:AnnualDepreciation0: Annual Depreciation = \frac{10,000 - 0}{5} = 2,000$
  • With scrap value 2,000:AnnualDepreciation2,000: Annual Depreciation = \frac{10,000 - 2,000}{5} = 1,600$

Scrap value affects depreciation.


Annual depreciation is independent of profit gained from the asset.

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