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Question
From the following information, determine Opening and Closing inventories:
Inventory Turnover Ratio 5 Times, Total sales ₹ 2,00,000, Gross Profit Ratio 25%. Closing Inventory is more by ₹ 4,000 than the Opening Inventory.
Solution
Sales = 2,00,000
Gross Profit = 25% on Sales
∴ Gross Profit =`200000 xx 25/100 = 50000`
Cost of Goods Sold = Total Sales − Gross Profit
= 2,00,000 − 50,000 = 1,50,000
Inventory Turnover Ratio=`"Cost of goods Sold"/"Average Inventory"`
`5 = 150000/"Average Inventory"`
Average Inventory = 30000
Let Opening Inventory = x
Closing Inventory = x + 4,000
Average Inventory
= `("Opening Inventory + Closing Inventory")/2`
`30000 = (x + x + 4000)/2`
or, 60000 = 2x + 4000
or, x = 28000
Opening Inventory = x = Rs 28,000
Closing Inventory = x + 4,000 = 28,000 + 4,000 = Rs 32,000
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Rs |
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