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3 November, 14:48

An asset was acquired on January 1, 2021, for $15,000 with an estimated 4-year life and $1,000 residual value. The company uses straight-line depreciation. Calculate the gain or loss if the asset was sold on December 31, 2023, for $5,000.

a. $500 gain

b. $3,000 loss

c. $1,500 gain

d. $500 loss

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  1. 3 November, 16:29
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    b. $3,000 loss

    Explanation:

    For computing the gain or loss, first we have to determine the depreciation expense so that we can find the book value of an asset

    So, under the straight-line method, the depreciation expense would be

    = (Original cost - residual value) : (useful life)

    = ($15,000 - $1,000) : (4 years)

    = ($14,000) : (4 years)

    = $3,500

    For two years, the depreciation would be

    = $3,500 * 2 years

    = $7,000

    In this method, the depreciation is same for all the remaining useful life

    Now the book value would be

    = Acquired value of an asset - accumulated depreciation

    = $15,000 - $7,000

    = $8,000

    So, the gain would be

    = Sale value - book value

    = $5,000 - $8,000

    = $3,000 loss
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