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Home/Practice questions/Applied Maths. Section B2
Applied Maths. Section B2Financial Mathematics

An asset costing Rs. 2,00,000 is expected to have a useful life of 10…

An asset costing Rs. 2,00,000 is expected to have a useful life of 10 years and a final scrap value of Rs. 40,000. The book value of the machine at the end of sixth year is:

Answer & explanation+

Correct answer: option 2

The correct answer is Option (2) → Rs. 1,04,000

Under the linear (straight-line) method, the depreciation is the same every year:

    \( \displaystyle \text{annual depreciation} = \frac{\text{cost} - \text{scrap value}}{\text{useful life}} \)

    \( \displaystyle = \frac{200000 - 40000}{10} = 16000 \)

Depreciation for 6 years:

    \(6 \times 16000 = 96000\)

Book value at the end of the sixth year:

    \(200000 - 96000 = 104000\)

So the book value is Rs. 1,04,000.

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