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The value of an ornament depreciates every year by 5%. If the present value of the ornament is Rs. 12,500, what will be its value after 2 years?
Question

The value of an ornament depreciates every year by 5%. If the present value of the ornament is Rs. 12,500, what will be its value after 2 years?

A.

Rs. 11,315.50

B.

Rs. 11,250

C.

Rs. 11,325

D.

Rs. 11,281.25

Correct option is D

Given:
The present value of the ornament =Rs. 12,500
Depreciation rate = 5% per annum
Time period = 2 years
Formula Used:
Value after depreciation=Present Value×(1Depreciation Rate)Time\text{Value after depreciation} = \text{Present Value} \times (1 - \text{Depreciation Rate})^ \text{Time}​​
Let the present value be P, depreciation rate be D, and time period be T.
Solution:
Value after T years=P×(1D)TValue after 2 years=12,500×(10.05)2Value after 2 years=12,500×(0.95)2Value after 2 years=12,500×0.9025=11,281.25\text{Value after T years} = P \times (1 - D)^T \\\text{Value after 2 years} = 12,500 \times (1 - 0.05)^2 \\\text{Value after 2 years} = 12,500 \times (0.95)^2 \\\text{Value after 2 years} = 12,500 \times 0.9025 = 11,281.25​​
Thus, the value of the ornament after 2 years will be Rs. 11,281.25. 
Alternate Solution:

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