Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A car costing ₹8,00,000 has scrap value of ₹3,00,000. If the book value of car at the end of fourth year is ₹6,00,000, then the useful life of the car is:

Options:

6 years

12 years

10 years

8 years

Correct Answer:

10 years

Explanation:

The correct answer is Option (3) - 10 years

$\text{Cost} = 800000,\;\; \text{Scrap} = 300000$

$\text{Book value after 4 years} = 600000$

$\text{Annual depreciation} = \frac{800000 - 600000}{4} = \frac{200000}{4} = 50000$

$\text{Total depreciation} = 800000 - 300000 = 500000$

$\text{Useful life} = \frac{500000}{50000} = 10 \text{ years}$

The useful life of the car is $10$ years.