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Exercise 7.7 · Q7

Q.Shiv & Co. purchased a mobile phone for ₹21,000 on 1st April, 2019. The estimated life of the mobile phone is 10 years, after which its residual value will be ₹1,000 only. Find out the amount of annual depreciation according to linear method.

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Straight Line Depreciation spreads the loss in value evenly over the asset’s life. Here, the depreciable amount is ₹20,000 (cost minus scrap), spread over 10 years, giving an annual depreciation of ₹2,000.

Why Straight Line Depreciation?

When a business buys an asset like a mobile phone, it doesn’t treat the full purchase price as an expense in the year of purchase. Instead, the cost is spread over the years the asset will be used — that’s depreciation. The Straight Line Method (also called the Fixed Instalment Method) is the simplest: it assumes the asset loses the same amount of value every year.

Think of it this way: if you buy a phone for ₹21,000 and know you can sell it for ₹1,000 after 10 years, the total value you’ll “use up” is ₹20,000. That ₹20,000 is divided equally over 10 years.

Annual Depreciation=Cost of Asset−Residual ValueEstimated Life\text{Annual Depreciation} = \frac{\text{Cost of Asset} - \text{Residual Value}}{\text{Estimated Life}}

The logic is clean: you’re not guessing at yearly fluctuations — you’re simply spreading the net cost evenly.


Step-by-step solution

  1. Identify the cost of the asset

    The mobile phone was purchased for ₹21,000 on 1st April 2019. This is the initial book value.

  2. Identify the residual (scrap) value

    After 10 years, the phone is expected to be worth ₹1,000. This is the amount you’ll recover at the end — it should not be depreciated.

  3. Calculate the depreciable amount

    This is the total value that will be expensed over the asset’s life:

    Depreciable Amount=₹21,000−₹1,000=₹20,000\text{Depreciable Amount} = ₹21,000 - ₹1,000 = ₹20,000 …

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