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×(1−Depreciation Rate)Time Let the present value be P, depreciation rate be D, and time period be T. Solution: Value after T years=P×(1−D)TValue after 2 years=12,500×(1−0.05)2Value after 2 years=12,500×(0.95)2Value after 2 years=12,500×0.9025=11,281.25 Thus, the value of the ornament after 2 years will be Rs. 11,281.25. Alternate Solution: