Skip to content
Exercise 7.7 · Q2

Q.An asset costing ₹15,000 is expected to have a useful life of 5 years and a scrap value of ₹3000. Find the annual depreciation charge using the straight-line method.

Sikkim CbseNCERTSubjective· 3mImportance★★★★★
92% · 66/72 Questions
✓ 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 number of years: ₹2,400 per year.

The idea behind Straight Line Depreciation is simple: an asset loses value every year because it gets used, wears out, or becomes outdated. Instead of guessing how much it loses each year, we assume it loses the same amount every year over its useful life. The total loss is the difference between what you paid (cost) and what it’s worth at the end (scrap value). Divide that evenly across the years, and you get the annual depreciation charge.

Let’s apply this to the given numbers.

  1. Identify the cost and scrap value. The asset was bought for ₹15,000. After 5 years, it can be sold for ₹3,000. So the total amount that will be “used up” or lost is:

Total depreciation=Cost−Scrap value=15000−3000=12000 ₹\text{Total depreciation} = \text{Cost} - \text{Scrap value} = 15000 - 3000 = 12000 \text{ ₹}

  1. Spread this loss evenly over the useful life. The useful life is 5 years. Under straight line method, each year bears an equal share:

Annual depreciation=Total depreciationUseful life=120005\text{Annual depreciation} = \frac{\text{Total depreciation}}{\text{Useful life}} = \frac{12000}{5}

  1. Compute the result.

120005=2400\frac{12000}{5} = 2400

Watch out

A common mistake is to forget to subtract the scrap value. If you simply divided ₹15,000 by 5, you’d get ₹3,000 — which overstates the depreciation because it ignores that the asset still has some value at the end. Always use (cost – scrap value) as the base.

Tip

The straight line method is the simplest and most commonly used for book depreciation in Indian exams. The formula is:

Annual depreciation=Cost−Scrap valueUseful life\text{Annual depreciation} = \frac{\text{Cost} - \text{Scrap value}}{\text{Useful life}}

It gives a constant charge each year, making profit calculations predictable.

✓Final answer

The annual depreciation charge is ₹2,400.

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.