Question

On January 1, 2020, Rainbow Company paid cash to purchase an automobile. The car dealer gave Rainbow a $3,000 cash discount off the $31,000 list price. However, Rainbow paid an additional $5,000 to equip the car with a more luxurious interior and high tech lighting so it would have greater appeal. Rainbow Company expected the car to have a five-year useful life and a $5,000 salvage value. Rainbow also expected to use the car for 140,000 miles before disposing of it. Rainbow used the car, and it was driven 20,000 / 30,000 / 40,000 / 30,000 / 20,000 miles during each use year respectively. Rainbow sold the car on January 1, 2026, for $6,000 cash the double declining balance method of depreciation.

Required:
What is the percentage depreciation Rainbow will use?

Answer 1

Rainbow Company

The percentage depreciation Rainbow will use is:

= 40%

Step-by-step explanation:

a) Data and Calculations:

Purchase (list) price = $31,000

Cash discounts = (3,000)

Additional interior cost 5,000

Net purchase price = $33,000

Salvage value = (5,000)

Depreciable amount = 28,000

Estimated useful life = 5 years

Double-declining-balance method of depreciation:

Depreciation rate = 100/5 * 2 = 40%

Estimated usage for the car = 140,000 miles

Annual usage:

Year 1 = 20,000

Year 2 = 30,000

Year 3 = 40,000

Year 4 = 30,000

Year 5 = 20,000

January 1, 2026 sales proceeds = $6,000