Question

At the beginning of 2017, Aristotle Company acquired a mine for $970,000. Of this amount, $100,000 was ascribed to the land value and the remaining portion to the minerals in the mine. Surveys conducted by geologists have indicated that approximately 12,000,000 units of ore appear to be in the mine. Aristotle incurred $170,000 of development costs associated with this mine prior to any extraction of minerals. It also determined that the fair value of its obligation to prepare the land for an alternative use when all of the mineral has been removed was $40,000. During 2017, 2,500,000 units of ore were extracted and 2,100,000 of these units were sold. Compute the following. Collapse question part (a) The total amount of depletion for 2017. (Round per unit answer to 2 decimal places, e.g. 0.45 for computational purpose and final answer to 0 decimal places, e.g. 45,892.)

Answer 1

Answer: $225,000

Explanation:

Given that,

Company acquired a mine = $970,000 of this amount,

Land value = $100,000 and remaining  portion to the minerals in the mine

Ore appear to be in the mine = 12,000,000 units

Aristotle incurred development costs = $170,000

fair value of its obligation = $40,000

ore were extracted = 2,500,000 units

Units sold = 2,100,000

$Depletion\ per\ unit = \frac{Mine\ acquiring\ cost + Development\ cost + Fair\ value\ of\ land - land\ value}{Ore\ appear\ to\ be\ in\ the\ mine}$

                                       =$\frac{970,000 + 170,000 + 40,000 - 100,000}{12,000,000}$

                                       = $0.09 depletion per unit

The total amount of depletion for 2017 =  depletion per unit × ore were extracted

                                                                 = $0.09 × 2,500,000

                                                                 = $225,000