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A trader carries an average inventory of Rs. 40,000. His inventory turnover ratio is 8 times. If he sells goods at a profit of 20% on Revenue from operations, find out the gross profit.

Solution

✅ Correct Option: 4

Finding Cost of Revenue from Operations:

Inventory Turnover Ratio=Cost of Revenue from OperationsAverage Inventory\text{Inventory Turnover Ratio} = \frac{\text{Cost of Revenue from Operations}}{\text{Average Inventory}}

8=Cost of Revenue from Operations40,0008 = \frac{\text{Cost of Revenue from Operations}}{40,000}

Cost of Revenue from Operations = 8 × 40,000 = Rs. 3,20,000


Finding Revenue from Operations:

Given that profit is 20% on Revenue from Operations (Sales).

If Revenue from Operations = SS, then Gross Profit = 20% of SS = 0.20SS

Using the relationship:

Revenue from Operations = Cost of Revenue from Operations + Gross Profit

S=3,20,000+0.20SS = 3,20,000 + 0.20S

S−0.20S=3,20,000S - 0.20S = 3,20,000

0.80S=3,20,0000.80S = 3,20,000

S=4,00,000S = 4,00,000


Calculating Gross Profit:

Gross Profit = 20% of Revenue from Operations

Gross Profit = 20% × 4,00,000 = Rs. 80,000

The answer is Option 4: Rs. 80,000

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