2. At the cose of the year a company has mventory ot S 150,000 and cost of goods solkd tor
$ 975,000. If the company's turnover ratio SS, detemine the opening balance of the mventory
Solution:
The company’s inventory turnover ratio = 2.5
The formula for inventory turnover ratio = "\\frac{Cost \\;of\\; goods \\;sold}{Average\\; inventory}"
Average inventory = (Opening inventory + Closing inventory) "\\div" 2
Let opening inventory be = x
"2.5 = \\frac{975,000}{(x+150,000)\\div 2}"
"2.5 = \\frac{975,000}{0.5x+75,000}"
Multiply both sides by 0.5x + 75000:
1.25x + 187,500 = 975,000
1.25x = 975,000 – 187,500
1.25x = 787,500
X = 630,000
Opening inventory = 630,000
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