On January 1 Duper Company purchased a delivery truck for 30

On January 1, Duper Company purchased a delivery truck for $30,000. The company estimates the truck will be driven 80,000 miles over its eight-year useful life. The estimated salvage value is $6,000. The truck was driven 12,000 miles in the first year. Which method results in the largest depreciation expense in year one?

Select one:

A. Straight-line

B. Double-declining balance

C. Sum-of-the-years\' digits

D. Units-of-production

Solution

Working Notes:

Ans.(B): Double declining balance method results in the largest depreciation expense in year one of $6,000 (work. Notes).

Working Notes:

Straight Line = Cost - Salvage Value / Years of useful Life
= ($30,000 - $ 6,000) / 8
= $24,000/8
= 3000
Double Declining balance = 200% of Straight line method
= $3,000 x 200%
= $       6,000
Sum of the years digit = Remaining useful life of the asset x Depreciable cost / sum of the years digit
=
= 8 x ($30,000 - $6,000) / (1+2+3+4+5+6+7+8)
= 8 x $24,000 / 36
= 5333.33
Units of Production method = Depreciable cost x miles driven / miles driven by usefull life
= $24,000 x 12,000 / 80,000
=            3,600
On January 1, Duper Company purchased a delivery truck for $30,000. The company estimates the truck will be driven 80,000 miles over its eight-year useful life.

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