Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

If $C$ is the original value of the asset, $S$ is the scrap value, $n$ is the useful life of the asset and $D$ is the annual depreciation, then

Options:

$D=\frac{C+S}{n}$

$D=\frac{C-n}{S}$

$D=n\frac{C}{S}$

$D=\frac{C-S}{n}$

Correct Answer:

$D=\frac{C-S}{n}$

Explanation:

The correct answer is Option (4) → $D=\frac{C-S}{n}$

Using the linear (straight-line) depreciation method:

Annual depreciation: $D = \frac{C - S}{n}$

Where:

  • $C$ = original cost of the asset
  • $S$ = scrap value of the asset at the end of useful life
  • $n$ = useful life in years
  • $D$ = annual depreciation