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8 December, 07:34

When originally purchased, a vehicle costing $23,000 had an estimated useful life of 8 years and an estimated salvage value of $3,000. After 4 years of straight-line depreciation, the asset's total estimated useful life was revised from 8 years to 6 years and there was no change in the estimated salvage value. The depreciation expense in year 5 equals:

A) $5,750.

B) $2,500

C) $11,500.

D) $5.000.

E) $2.875

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Answers (1)
  1. 8 December, 07:49
    0
    The depreciation expense in year 5 is option (D) $5,000

    Explanation:

    Data provided in the question:

    Original cost of the vehicle = $23,000

    Initial estimated useful life = 8 years

    Estimated salvage value = $3,000

    Revised useful life = 6 years

    Now,

    Initial depreciation rate = [ Cost - Salvage value ] : [Useful life ]

    = [ $23,000 - $3,000 ] : 8

    = $2,500 per year

    Accumulated depreciation for the 4 years

    = $2,500 * 4

    = $10,000

    Book value for the year 5

    = Cost - Accumulated depreciation for the 4 years

    = $23,000 - $10,000

    = $13,000

    Therefore,

    Revised depreciation

    = [ Book value for the year 5 - Salvage value ] : (Remaining life)

    = [$13,000 - $3,00 ] : 2 years [∵ 6 years - 4 years = 2 years]

    = $5,000

    Hence,

    The depreciation expense in year 5 is option (D) $5,000
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