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VOOZH | about |
The value of any article or item subject to wear and tear, decreases with time. This decrease is called its Depreciation. Given three variable V1, R and T where V1 is the initial value, R is the rate of depreciation and T is the time in years. The task is to find the value of the item after T years.
Examples:
Input: V1 = 200, R = 10, T = 2
Output: 162
Input: V1 = 560, R = 5, T = 3
Output: 480.13
Approach: As in Compound Interest, interest is regularly added to the principal at the end of the agreed intervals of time to generate a new and fresh principal. Similarly, Depreciated value is the decreased value from the amount at the end of agreed intervals of time to generate a new Value.
Thus if V1 is the value at a certain time and R% per annum is the rate (the rate can not be more than 100%) of depreciation per year, then the value V2 at the end of T years is:
Below is the implementation of the above approach :
162
Time Complexity: O(1)
Auxiliary Space: O(1)