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The useful life of a machine is estimated to be 10 years and course Rs.10,000 rate of depreciation is 10% per annum. The scrap value at the end of its life is?
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Useful Life of a Machine and Depreciation Rate


Depreciation is the reduction in the value of a tangible asset due to wear and tear, obsolescence, or any other factor. It is an accounting method that allocates the cost of an asset over its useful life. In this case, we are given that:



  • The useful life of the machine is 10 years

  • The cost of the machine is Rs.10,000

  • The rate of depreciation is 10% per annum



Calculating Depreciation


To calculate the depreciation of the machine, we can use the straight-line method. This method assumes that the asset loses an equal amount of value each year over its useful life. The formula for straight-line depreciation is:


Annual Depreciation = (Cost of Asset - Salvage Value) / Useful Life


Where:


  • Cost of Asset: The original cost of the machine (Rs.10,000)

  • Salvage Value: The value of the machine at the end of its useful life (also known as the scrap value)

  • Useful Life: The estimated useful life of the machine (10 years)



Using the formula, we can calculate the annual depreciation of the machine:


Annual Depreciation = (Rs.10,000 - Salvage Value) / 10


Since the rate of depreciation is 10% per annum, we can also calculate the annual depreciation as:


Annual Depreciation = Cost of Asset x Depreciation Rate


Using this formula, we can calculate the annual depreciation as:


Annual Depreciation = Rs.10,000 x 10% = Rs.1,000


Calculating Scrap Value


The scrap value is the value of the machine at the end of its useful life. In this case, we are given that the scrap value is:


Scrap Value = Rs.10,000 x 10% x 10 years = Rs.10,000 - Rs.10,000 x 10% x 10 years = Rs.0


From this calculation, we can see that the scrap value of the machine is zero. This means that the machine will have no residual value at the end of its useful life and will be completely depreciated.


Conclusion


In conclusion, the useful life of a machine is estimated to be 10 years and the rate of depreciation is 10% per annum. Using the straight-line method, we can calculate the annual depreciation of the machine as Rs.1,000. The scrap value of the machine is zero, which means that the machine will have no residual value at the end of its useful life and will be completely depreciated.
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