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Jim noticed that the book value of an asset he owned was exactly $500 higher if the value was calculated by straight-line depreciation over

 

Jim noticed that the book value of an asset he owned was exactly $500 higher if the value was calculated by straight-line depreciation over declining-balance depreciation exactly halfway through the asset's service life, and the scrap value at the end of the service life was the same by either method. If the scrap value was $100, what was the purchase price of the asset?

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