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Given the following information and assuming beginning inventory was zero and a periodic inventory system was used, what is the gross profit at the end of the period using the FIFO, LIFO, and average cost methods?

Purchases

Sales
20 units at $50 15 units at $60
35 units at $40 35 units at $45
85 units at $30 85 units at $35
FIFO LIFO Cost Average

A.
$650 $750 $677

B.
$650 $750 $990

C.
$677 $650 $677

User Alex Chase
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1 Answer

4 votes

Answer:

A. $650 $750 $677

Step-by-step explanation:

period purchases sales

1 20 units at $50 15 units at $60

2 35 units at $40 35 units at $45

3 85 units at $30 85 units at $35

total revenue = $900 + $1,575 + $2,975 = $5,450

COGS:

  • using FIFO = (15 x $50) + (5 x $50) + (30 x $40) + (5 x $40) + (80 x $30) = $4,800
  • using LIFO = (15 x $50) + (35 x $40) + (85 x $30) = $4,700
  • cost average = ($4,950 / 140 units) x 135 units = $4,773.21

Gross profit:

  • using LIFO = $5,450 - $4,800 = $650
  • using FIFO = $5,450 - $4,700 = $750
  • using cost average = $5,450 - $4,773.21 = $676.79 ≈ $677
User Jonathan Ellis
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