Answer:
Randolph's basis on the inventory = $15,000
Randolph's basin on the land = $7,500
Explanation:
Randolph's basis = $37,500
Randolph's basis after cash distribution = $37,500 - $15,000 = $22,500
Randolph's basis on the inventory = RD's inventory basis + [(basis after cash - RD's basis) x relative weight of inventory] = $10,000 + [($22,500 - $15,000) x 2/3] = $10,000 + $5,000 = $15,000
Randolph's basin on the land = RD's land basis + [(basis after cash - RD's basis) x relative weight of land] =$5,000 + [($22,500 - $15,000) x 1/3] = $5,000 + $2,500 = $7,500