Terrill Company finds its records are incomplete concerning a piece of machinery used in its plant. According to the company records, the machinery has an estimated useful life of 10 years and an estimated salvage value of $ 24,000. It has recorded $ 12,000 in depreciation each year using the straight-line method. If the accumulated depreciation account shows a balance of $ 72,000, what is the original cost of the machinery and how many years remain to be depreciated?

original cost $144,000: Remaining years 4 years

Explanation:

Depreciation is the process of expensing the value of an asset over its useful life. The straight-line method allocates an equal amount of expense as depreciation in every of the gainful life.

The calculation of depreciation involves first determining the depreciable amounts.

The depreciable amount = asset cost - salvage value. In this case, the salvage value is  $ 24,000, but the asset cost is not given.

Depreciation per year= depreciable amount divided by lifespan

For Terrill company

$12,000 =depreciable amount /10

Depreciable amount = $12,000 x  10

=$120,000

If depreciable amount = asset cost - salvage value, then

$120,000 = asset cost - $24,000

Asset cost = $120,000 + $24,000

Asset cost = $144,000

Accumulated depreciation of $72,000 implies the asset has been depreciated $72,000/$12,000 times

=72,000/12000

= 6 times or six year.

The asset has a lifespan of 10 years; then it has four years remaining(10-6)