Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A motorbike costing Rs. 1,25,000 has a scrap value of Rs. 25,000. If the annual depreciation charge is Rs. 12,500, then the useful life of the bike is (by using linear method):

Options:

7 years

8 years

9 years

10 years

Correct Answer:

8 years

Explanation:

The correct answer is Option (2) → 8 years

Given:

Cost of motorbike: C = 1,25,000

Scrap value: S = 25,000

Annual depreciation: D = 12,500

Using the linear (straight-line) method, the useful life is:

$\text{Useful life} = \frac{C - S}{D}$

$\text{Useful life} = \frac{1,25,000 - 25,000}{12,500} = \frac{1,00,000}{12,500} = 8 \text{ years}$