CA
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When a factory runs a process at month-end, some units are only half-done. You can't just ignore them — they've consumed resources. But you also can't treat 200 half-finished units the same as 200 finished units. That's exactly the problem Equivalent Units of Production (EUP) solves: it converts partially completed units into a notional number of fully completed units, so you can calculate a fair cost per unit.

The core formula is simple: EUP = Completed Units + (Closing WIP Units × % Completion). But here's the twist that trips most students — materials and conversion costs (labour + overheads) almost always have different completion percentages. Why? Because in most processes, raw material is introduced at the start (so closing WIP is 100% complete for material), while labour and overhead are added gradually (so closing WIP might be only 40% complete for conversion). Always check the question for this split.

There are two methods for handling Opening WIP: the Weighted Average (WA) method and the FIFO method. In WA, you lump opening WIP together with current period output — simpler, and by far the more exam-common method at CA Inter level. In FIFO, you first complete the opening WIP and account for the work done on it this period only — more accurate but more calculation-heavy. The ICAI May 2026 syllabus tests both, but WA appears more frequently in 8–10 mark questions. In WA, EUP = Units Completed & Transferred + (Closing WIP × % Completion). In FIFO, EUP = (Opening WIP Units × % work remaining) + Units started & completed + (Closing WIP × % completion). Once you have EUP for each cost element, divide the total cost for that element by its EUP to get cost per equivalent unit — then value closing WIP and transferred units using these rates. This is asked frequently as an 8-mark question in Paper 4.

📊 Worked example

Example 1 — Weighted Average Method

Rajesh & Co. Pvt. Ltd. runs Process II. Data for March 2026:

  • Opening WIP: 1,000 units (60% complete for conversion; 100% for material)
  • Units introduced: 9,000
  • Units completed & transferred out: 8,500
  • Closing WIP: 1,500 units (40% complete for conversion; 100% for material)
  • Costs this period: Material ₹1,80,000 | Conversion ₹2,10,000
  • Costs in Opening WIP: Material ₹20,000 | Conversion ₹18,000

Step 1 — Compute EUP (Weighted Average)

| Cost Element | Completed | Closing WIP | Total EUP |

|---|---|---|---|

| Material | 8,500 | 1,500 × 100% = 1,500 | 10,000 |

| Conversion | 8,500 | 1,500 × 40% = 600 | 9,100 |

Step 2 — Total Cost per Element

  • Material: ₹1,80,000 + ₹20,000 = ₹2,00,000
  • Conversion: ₹2,10,000 + ₹18,000 = ₹2,28,000

Step 3 — Cost per Equivalent Unit

  • Material: ₹2,00,000 ÷ 10,000 = ₹20 per unit
  • Conversion: ₹2,28,000 ÷ 9,100 = ₹25.05 per unit (approx.)

Step 4 — Value of Closing WIP

  • Material: 1,500 × ₹20 = ₹30,000
  • Conversion: 600 × ₹25.05 = ₹15,030
  • Closing WIP = ₹45,030

Final Answer: Cost transferred out = ₹2,00,000 + ₹2,28,000 − ₹45,030 = ₹3,82,970

---

Example 2 — Quick FIFO Check (same data)

Under FIFO, opening WIP equivalent units for conversion = 1,000 × (100% − 60%) = 400 units (work remaining this period). Units started and fully completed = 8,500 − 1,000 = 7,500. EUP for Conversion = 400 + 7,500 + 600 = 8,500 units. Cost per conversion unit = ₹2,10,000 ÷ 8,500 = ₹24.71. Notice: FIFO gives a slightly different answer because it excludes prior-period costs from the current rate — this is the key conceptual difference to state in theory questions.

⚠️ Common exam mistakes

  • Using the same % completion for both materials and conversion: Students apply one percentage to everything. Always check if material is introduced at the start (100%) vs. conversion costs added throughout — they almost always differ.
  • Including opening WIP costs in the FIFO denominator: In FIFO, the cost per unit uses only current period costs in the numerator. Don't add opening WIP costs to the numerator the way you do in Weighted Average — that defeats the whole point of FIFO.
  • Forgetting to separate normal loss units from EUP: Normal loss units have zero equivalent units (they bear no cost going forward). Students often include them in the EUP calculation, inflating the denominator and understating cost per unit.
  • Treating closing WIP completion % as the work-done-this-period % in FIFO for opening WIP: For opening WIP under FIFO, the equivalent units = opening WIP × (100% − opening completion%). Students often multiply by the opening completion % directly — that's the work already done last period, not this period.
  • Confusing 'units introduced' with 'units to account for': Units to account for = Opening WIP + Units introduced. Always build your process account reconciliation first (input = output) before computing EUP — it prevents silly arithmetic errors that cascade through the whole answer.
📖 Reference: Equivalent Units — Institute of Chartered Accountants of India
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