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Numerical Questions · Q13
Q.

Calculate Inventory Turnover Ratio from the following information:

ParticularsAmount (₹)
Inventory in the beginning76,250
Inventory at the end98,500
Sales5,20,000
Sales Return20,000
Purchases3,22,250
Yanam CbseNCERTSubjective· 3mImportance★★★★★
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Inventory Turnover Ratio = 3.43 times, calculated as Cost of Revenue from Operations divided by Average Inventory.

Concept First: Why This Ratio Matters

The Inventory Turnover Ratio tells us how efficiently a business sells and replaces its stock. A higher ratio means faster moving inventory — goods are sold quickly, which is generally good for liquidity. A lower ratio might indicate overstocking or slow-moving items.

The formula is:

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

Cost of Revenue from Operations is simply the cost of goods sold (COGS). We don't get it directly — we must compute it from the given data. The key rule: COGS = Opening Inventory + Purchases – Closing Inventory. Sales and Sales Returns are used to check if we need to adjust for gross profit, but here we have Purchases, so we can compute COGS directly.

Average Inventory is the simple average of opening and closing inventory: (Opening + Closing) / 2.

Step-by-Step Solution

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

We have:

  • Opening Inventory = ₹76,250
  • Purchases = ₹3,22,250
  • Closing Inventory = ₹98,500

COGS = Opening Inventory + Purchases – Closing Inventory

= 76,250 + 3,22,250 – 98,500

= 3,98,500 – 98,500

= ₹3,00,000

Note

Sales (₹5,20,000) and Sales Returns (₹20,000) give Net Sales = ₹5,00,000. But we don't need them for COGS because we have Purchases. If Purchases were missing, we'd use Net Sales – Gross Profit. Here, it's a direct calculation.

Step 2: Compute Average Inventory

Average Inventory = (Opening Inventory + Closing Inventory) / 2

= (76,250 + 98,500) / 2

= 1,74,750 / 2

= ₹87,375

Step 3: Compute Inventory Turnover Ratio

Inventory Turnover Ratio = COGS / Average Inventory

= 3,00,000 / 87,375

Let's do the division carefully:

87,375 × 3 = 2,62,125

Remainder = 3,00,000 – 2,62,125 = 37,875

Now 37,875 / 87,375 = 0.4335... (approx)

So the ratio = 3.4335... times

Rounding to two decimal places: 3.43 times …

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