The value of a car depreciates by 18% per year. Work out the current value of a car bought 4 years ago for £20000

Respuesta :

20000 = 100% 18 x 4 = 72% 20000 / 100 = 200 200 = 1% 200 x 72 = 14,400 20000 - 14,400 = 5600 The value of it now should be £5600
Given:
depreciation rate: 18%
Value of the car : 20,000
Age of the car : 4 years.

The depreciation is based on the current value of the car. Therefore, the amount of depreciation varies.

yr   Beginning Value   Dep. Rate    Depreciation      Ending Value
1    20,000.00                 18%              3,600.00          16,400.00
2    16,400.00                 18%              2,952.00          13,448.00
3    13,448.00                 18%              2,420.64          11,027.36
4    11,027.36                 18%              1,984.92            9,042.44

The current value of a car bought 4 years ago is 9,042.44

Beginning value : purchased amount on 1st year. then, ending balance of the previous year from 2nd year onwards.
Depreciation : Beginning value * depreciation rate
Ending value : Beginning value - depreciation