On January 1, 2019, ABC Company purchased a new piece of equipment. The equipment was assigned a $7,000 residual value and is expected to produce a total of 60,000 units over its life. The depreciation expense reported on the equipment for 2019 was $10,734. During 2020, the equipment was used to produce 9,000 units. At December 31, 2020, the book value of the equipment was $57,466. ABC Company is using the units-of-production depreciation method to depreciate the equipment. Calculate the original cost paid by ABC Company to purchase the equipment on January 1, 2019.
Cost of Equipment | X | |||
Less: Residual Value | 7000 | |||
Net Depreciable Value | X-7000 | |||
Expected Production | 60000 | |||
Depreciation PU | (X-7000)/60000 | |||
Year | Production | Depreciation | ||
2019 | 10734 | |||
2020 | 9000 | 9000*(X-7000)/60000 | ||
Cost of Equipment | X | |||
Less: Depreciation of 2019 | 10734 | |||
Less: Depreciation of 2020 | 9000*(X-7000)/60000 | |||
Book Value | 57466 | |||
X-10734-(9000*(X-7000)/60000)=57466 | ||||
X-10734-(9000X-63000000)/60000)=57466 | ||||
X-(0.15X-1050)=57466+10734 | ||||
0.85X+1050=68200 | ||||
0.85X=67150 | ||||
X=79000 | ||||
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