Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

The value of a washing machine purchased two years ago depreciation at the annual rate of 10%. If its present value of ₹50,000, then its value after two years will be :

Options:

₹40,000

₹42,000

₹40,500

₹36,500

Correct Answer:

₹40,500

Explanation:

Let the present value of the washing machine be ₹50,000.

Rate of depreciation $=10\%$ per annum.

Value after $n$ years under depreciation:

$V=P(1-r)^n$

Here $P=50000,\; r=0.10,\; n=2$.

$V=50000(1-0.10)^2$

$V=50000(0.9)^2$

$V=50000\times0.81$

$V=40500$

final answer: ₹40,500