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Q.Or. Inventory turnover ratio is 3 times. Sales are ₹1,80,000. Opening Stock ₹2,000 more than the Closing Stock. Calculate Opening and Closing Stock, when goods are sold at 20% profit on cost.

Meghalaya MboseMBOSE Meghalaya Intermediate Board (Commerce) 2025Subjective· 4mImportance★★★★★
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Convert sales to cost of goods sold using the given profit margin, use the turnover ratio to find average stock, then use the ₹2,000 gap to split it into opening and closing stock.

Given: Inventory Turnover Ratio = 3 times; Sales = ₹1,80,000; Opening Stock is ₹2,000 more than Closing Stock; goods sold at 20% profit on cost.

Step 1 — Cost of Revenue from Operations (COGS):

Since profit is 20% on cost, Sales = Cost + 20% of Cost = 1.20 × Cost

Cost of Revenue from Operations = 1,80,000 ÷ 1.20 = ₹1,50,000

Step 2 — Average Inventory:

Inventory Turnover Ratio = Cost of Revenue from Operations ÷ Average Inventory

3 = 1,50,000 ÷ Average Inventory

Average Inventory = 1,50,000 ÷ 3 = ₹50,000

Step 3 — Split into Opening and Closing Stock:

Average Inventory = (Opening Stock + Closing Stock) ÷ 2 = 50,000 …

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