A test facility setup coast Rs. 10,00,000 at the time of installation, and its scrap value is Rs. 50,000 at the end of the useful life in 10 years.  Adopting a straight line method for computation of depreciation, estimate the book value of the facility at the end of five years.

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SSC JE CE Previous Year Paper 21 (Held on 25 September 2019 Morning)
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  1. Rs. 5,75,000
  2. Rs. 4,75,000
  3. Rs. 5,00,000
  4. Rs. 5,25,000

Answer (Detailed Solution Below)

Option 4 : Rs. 5,25,000
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Detailed Solution

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Concept:

In the Straight line method, it is assumed that the property loses its value by the same amount every year. A fixed amount of the original cost is deducted every year so that at the end of the utility period only the scrap value is left

Annual Depreciation is given by:

\(D = \frac{{Original\;cost\; - Scrap\;value}}{{life\;in\;years}} = \frac{{C - S}}{n}\)

Where, D = Annual Depreciation, S = Scrap value & n = life of the property in years

Calculation:

n = 10 years

S = Rs.50,000

C = Rs. 10,00,000

\(D = \frac{{1000000 - 50000}}{{10}} = Rs.95000\;per\;year\)

So At the end of 5 years, 

Book value of the property = Original cost - 5 × D

 = 1000000 – 5 × 95000

 = Rs. 525000.

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