Answer:
inventory fire loss = $15,752
Step-by-step explanation:
inventory fire loss:
beginning inventory $81,000
+ purchases $295,600
- purchase returns $27,900
- COGS $302,016
inventory before fire = $46,684
- cost of undamaged inventory = -$22,932
- salvage value of damaged inventory = -$8,000
inventory fire loss = $15,752
calculations of COGS and cost of undamaged inventory:
COGS based on net revenue from sales:
gross profit ratio = (net revenue - COGS) / net revenue
- net revenue = $407,900 - $20,700 = $387,200
- gross profit ratio = 0.22
0.22 = ($387,200 - COGS) / $387,200
$387,200 - COGS = $387,200 x 0.22 = $85,184
COGS = $387,200 - $85,184 = $302,016
inventory undamaged by fire = $29,400
cost of undamaged inventory = $29,400 - ($29,400 x 0.22) = $22,932