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Question
From the following Information, calculate the Inventory Turnover Ratio:
Credit Revenue from Operations ₹ 6,00,000; Cash Revenue from Operations ₹ 2,00,000; Gross Profit 25% of Cost; Closing Inventory was 3 times the Opening Inventory. Opening Inventory was 10% of Cost of Revenue from Operations.
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Solution
Calculation of Total Revenue from Operations:
\[\text{Total Revenue from Operations} = \text{Credit Revenue} + \text{Cash Revenue}\]
$$\text{Total Revenue from Operations} = ₹ 6,00,000 + ₹ 2,00,000$$
$${\text{Total Revenue from Operations} = ₹ 8,00,000}$$
Calculation of Cost of Revenue from Operations:
Since Gross Profit is 25% on Cost, let the Cost be $X$.
$$\text{Gross Profit} = 25\% \text{ of } X = 0.25X$$
We know that:
$$\text{Total Revenue from Operations} = \text{Cost} + \text{Gross Profit}$$
$$8,00,000 = X + 0.25X$$
$$8,00,000 = 1.25X$$
$$X = \frac{8,00,000}{1.25}$$
$${\text{Cost of Revenue from Operations (COGS)} = ₹ 6,40,000}$$
Calculation of Opening and Closing Inventory:
1. Opening Inventory:
$$\text{Opening Inventory} = 10\% \text{ of Cost of Revenue from Operations}$$
$$\text{Opening Inventory} = 10\% \text{ of } ₹ 6,40,000$$
$${\text{Opening Inventory} = ₹ 64,000}$$
2. Closing Inventory:
$$\text{Closing Inventory} = 3 \times \text{Opening Inventory}$$
$$\text{Closing Inventory} = 3 \times ₹ 64,000$$
$${\text{Closing Inventory} = ₹ 1,92,000}$$
Calculation of Average Inventory:
$$\text{Average Inventory} = \frac{\text{Opening Inventory} + \text{Closing Inventory}}{2}$$
$$\text{Average Inventory} = \frac{64,000 + 1,92,000}{2}$$
$$\text{Average Inventory} = \frac{2,56,000}{2}$$
$${\text{Average Inventory} = ₹ 1,28,000}$$
Calculation of Inventory Turnover Ratio:
$$\text{Inventory Turnover Ratio} = \frac{\text{Cost of Revenue from Operations}}{\text{Average Inventory}}$$
$$\text{Inventory Turnover Ratio} = \frac{6,40,000}{1,28,000} = 5$$
Inventory Turnover Ratio = 5 Times
