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

A vehicle has a scrap value of Rs. 6,50,000 after 10 years of its pur…

A vehicle has a scrap value of Rs. 6,50,000 after 10 years of its purchase. If the annual depreciation charge is Rs. 35,000, then the original cost of the vehicle is:

Answer & explanation+

Correct answer: option 4

The correct answer is Option (4) → Rs. 10,00,000

A fixed depreciation charge every year is the linear (straight line) method:

    \( \displaystyle \text{Annual depreciation} = \frac{\text{Cost} - \text{Scrap value}}{\text{Useful life}} \)

So

    \(\text{Cost} = \text{Scrap value} + \text{Useful life} \times \text{Annual depreciation}\)
    \(= 6{,}50{,}000 + 10 \times 35{,}000\)
    \(= 6{,}50{,}000 + 3{,}50{,}000 = 10{,}00{,}000\)

The original cost is Rs. 10,00,000.

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