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Questions · Q14

Q.Using the same data as in the FIFO illustration above, prepare a Stores Ledger Account under the Weighted Average Method (recomputing the average rate on every fresh receipt):
Jan 1: Opening stock 100 units @ ₹10
Jan 5: Purchased 200 units @ ₹12
Jan 10: Issued 150 units
Jan 15: Purchased 150 units @ ₹14
Jan 20: Issued 200 units
Jan 25: Purchased 100 units @ ₹16
Jan 28: Issued 100 units

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Under the Weighted Average Method, the issue rate is calculated by dividing the TOTAL VALUE of all material currently in stock by the TOTAL QUANTITY currently in stock — so, unlike the Simple Average method, a larger batch correctly influences the average rate more than a smaller one. This weighted rate is recalculated every time a fresh purchase is received, and applies to every issue made until the next receipt.

DateReceipt QtyReceipt Rate (₹)Receipt Amount (₹)Issue QtyIssue Rate (₹)Issue Amount (₹)Balance QtyBalance Rate (₹)Balance Amount (₹)
Jan 1 (Opening)——————10010.001,000.00
Jan 5200122,400———30011.333,400.00
Jan 10———15011.331,700.0015011.331,700.00
Jan 15150142,100———30012.673,800.00
Jan 20———20012.672,533.3310012.671,266.67
Jan 25100161,600———20014.332,866.67
Jan 28———10014.331,433.3310014.331,433.33

Working for each weighted rate (Total Value ÷ Total Quantity):

  • After Jan 5 receipt: (₹1,000 + ₹2,400) ÷ (100 + 200) = ₹3,400 ÷ 300 = ₹11.33 per unit (approx.; exact value ₹34/3). Jan 10 issue = 150 × ₹11.33 ≈ ₹1,700 (using the more precise fraction, 150 × 34⁄3 = ₹1,700 exactly, since 300 units splits evenly into two lots of 150). Balance: 150 units, value = 3,400 − 1,700 = ₹1,700.
  • After Jan 15 receipt: (₹1,700 + ₹2,100) ÷ (150 + 150) = ₹3,800 ÷ 300 = ₹12.67 per unit (approx.; exact value ₹38/3). Jan 20 issue = 200 × 38⁄3 = ₹2,533.33. Balance: 100 units, value = 3,800 − 2,533.33 = ₹1,266.67.
  • After Jan 25 receipt: (₹1,266.67 + ₹1,600) ÷ (100 + 100) = ₹2,866.67 ÷ 200 = ₹14.33 per unit (approx.). Jan 28 issue = 100 × ₹14.33 ≈ ₹1,433.33. Balance: 100 units, value = 2,866.67 − 1,433.33 = ₹1,433.34 (≈ ₹1,433.33, the one-paisa difference being pure rounding). …

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