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प्रश्न
From the following information, calculate the value of opening and closing inventory:
Inventory Turnover Ratio - 4 times.
Gross Profit = 20% on Revenue from Operations.
Revenue from Operations = ₹ 10,00,000.
Opening inventory is 25% of the inventory at the end.
उत्तर
Revenue from operations = ₹ 10,00,000
Gross Profit = 20% on Revenue from Operations
= `20/100 xx ₹ 10,00,000`
= ₹ 2,00,000
Cost of Revenue from Operations = Revenue from Operations - Gross Profit
= ₹ 10,00,000 - ₹ 2,00,000 = ₹ 8,00,000
Inventory Turnover Ratio = `"Cost of Revenue from Operations"/"Average Inventory"`
Inventory Turnover Ratio = `(₹ 8,00,000)/ "Average Inventory"`
Average Inventory = `(₹ 8,00,000)/ 4`
Average Inventory = ₹ 2,00,000
Opening Inventory is 25% of the inventory at the end.
∴ Closing Inventory = `x`
Opening Inventory = 25% of `x`
=`25/100 xx x =1/4x "or" x/4`
Average Inventory = `("Opening Inventory" +"Closing Inventory")/2`
₹ 2,00,000 `= (x/4+x)/2`
`₹ 2,00,000 xx 2 = x/4 +x`
₹ 4,00,000 =` (5x)/4`
`5x = ₹ 4,00,000xx 4`
`x= (₹ 16,00,000)/5`
`x = ₹ 3,20,000`
Closing Inventory = ₹ 3,20,000
Opening Inventory =`(₹ 3,20,000)/4`= ₹ 80,000
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