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Exercise 7.7 · Q1

Q.A machine costing ₹30000 is expected to have a useful life of 13 years and a final scrap value of ₹4000. Find the annual depreciation charge using the straight line method.

Puducherry CbseNCERTSubjective· 3mImportance★★★★★
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✓ Free question

Straight Line Depreciation spreads the loss in value evenly over the asset’s life. The annual charge is the cost minus scrap value divided by the useful life: ₹2000 per year.

Why straight line depreciation makes sense

When a company buys a machine, it doesn’t treat the entire cost as an expense in the year of purchase. Instead, the cost is spread over the years the machine will actually help generate revenue. The straight line method is the simplest: it assumes the machine loses the same amount of value every year. The total loss over its life is just the purchase price minus whatever you can sell it for at the end (the scrap value). Divide that total loss by the number of years, and you get the annual depreciation charge.

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

  1. Identify the given values

    Cost of the machine = ₹30,000

    Scrap value (what it’s worth at the end) = ₹4,000

    Useful life = 13 years

  2. Find the total depreciable amount

    This is the cost that will be “used up” over the machine’s life.

Depreciable Amount=30,000−4,000=26,000\text{Depreciable Amount} = 30,000 - 4,000 = 26,000

  1. Divide by the useful life Each year bears an equal share of that ₹26,000.

Annual Charge=26,00013=2,000\text{Annual Charge} = \frac{26,000}{13} = 2,000

Watch out

A common mistake is to forget to subtract the scrap value. If you simply divided ₹30,000 by 13, you’d get ₹2308 — which overstates the depreciation and would understate the machine’s book value at the end. The scrap value is real money you get back, so it should not be depreciated.

Tip

You can think of it this way: the machine’s value drops from ₹30,000 to ₹4,000 over 13 years — a total drop of ₹26,000. That’s exactly ₹2000 per year. After 13 years, the accumulated depreciation will be ₹26,000, leaving a book value of ₹4,000, matching the scrap value.

✓Final answer

The annual depreciation charge is ₹2000.

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