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

Verified Answer :

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