Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A 3-D printer whose cost is ₹8,50,000 will depreciate to a scrap value of ₹50,000 in 4 years.

A. The Annual Depreciation amount is ₹2,00,000

B. The book value of the printer at the end of second year is ₹4,00,000

C. The depreciation rate is 25%

D. The book value of the printer at the end of third year is ₹2,50,000

Choose the correct answer from the options given below :

Options:

A, B, C only

A, C, D only

A, B, D only

C, D only

Correct Answer:

A, C, D only

Explanation:

The correct answer is Option (2) → A, C, D only

The depreciation is,

$\text{Annual Depreciation} = \frac{\text{Cost of Asset-Scrap value}}{\text{Life of Asset}}$

$=\frac{8,50,000-50,000}{4}$

$=2,00,000$

∴ Book Value = Cost - (Annual Depreciation × Years)

$=8,50,000-(2,00,000×2)$

$=4,50,000$

Now,

$\text{Depreciation Rate} = \left(\frac{\text{Annual Depreciation}}{\text{Cost}}\right)×100$

$=\left(\frac{2,00,000}{8,00,000}\right)×100=25\%$

Book Value (3 years) = Cost - (Annual Depreciation × Years)

$=8,50,000-(2,00,000×3)$

$=2,50,000$