Anew barcode reading device has an installed cost basis of $20 comma 060 and an estimated service life of seven years. it will have a zero salvage value at that time. the 200% declining balance method is used to depreciate this asset. a. what will the depreciation charge be in year seven? b. what is the book value at the end of year six? c. what is the gain (or loss) on the disposal of the device if it is sold for $500 after six years?

a) $543.75

b) $1,903.20

c) $1,403.2 (loss)

Explanation:

Data provided in the question:

Cost basis for the device = $20,060

Useful life = 7 years

Salvage value = $0

Now,

Using the 200% declining balance method,

Rate of depreciation =

or

Rate of depreciation =

or

Rate of depreciation = 0.2857 per year or 28.57% per year

Now,

Book value at the end of first year

=  $20,060 - 0.2857 × $20,060

= $14,328.57

Book value at the end of second year

=  $14,328.57 - 0.2857 × $4093.67

= $10234.9

Book value at the end of third year

=  $10234.9 - 0.2857 × $10234.9

= $7310.78

Book value at the end of fourth year

=  $7310.78 - 0.2857 × $7310.78

= $5222.08

Book value at the end of fifth year

=  $5222.08 - 0.2857 × $5222.08

= $3730.13

Book value at the end of fifth year

=  $3730.13 - 0.2857 × $3730.13

= $2664.43

Book value at the end of sixth year

=  $2664.43 - 0.2857 × $2664.43

= $1903.20

Therefore,

a) The depreciation charge in the year 7 will be

= 0.2857 × $1903.20

= $543.75

b) Book value at the end of year six = $1,903.20

c) The loss on the disposal of the device after six year for $500

= Selling cost - Book value

= $500 - $1,903.20

= -$1,403.2          [Here, negative sign means loss]

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