Choice "A" is correct. The inventory turnover is 5.61. The problem requires computation of the elements of inventory turnover (average inventory and cost of goods sold) from the fact pattern to compute the ratio.The current year cost of goods sold is equal to Sales × (1 − Gross profit percent), as follows:
$2,525,000 × (1 − 0.40)$2,525,000 × 0.60$1,515,000 |
Inventory is given as a percentage of "sales volume at cost," which is another way of saying that inventory is given as a percentage of cost of goods sold. Current year-ending inventory is 22% of current year sales volume at cost (or current year cost of goods sold). Ending inventory is $333,300 ($1,515,000 × 0.22) while beginning inventory is 15% of prior year sales volume at cost (or prior year cost of goods sold). Thus beginning inventory is:
$2,125,000 × (1 − 0.35) × 0.15$2,125,000 × 0.65 × 0.15$207,188 |
Average inventory is computed as the sum of beginning and ending inventory divided by two, as follows:
($333,300 + $207,188) ÷ 2$270,244 |
Inventory turnover is the ratio of cost of goods sold to average inventory, computed as follows:
$1,515,000 ÷ $270,2445.61 |
Choice "b" is incorrect. The solution proposes the use of ending inventory in the denominator rather than average inventory.
Choice "d" is incorrect. The solution proposes the use of average cost of goods sold in the numerator rather than current cost of goods sold divided by average inventory.
Choice "c" is incorrect. The solution proposes the use of beginning inventory in the denominator rather than average inventory.