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Material Variance Analysis is how a business figures out why its actual material cost differed from what it planned. Imagine Sharma Plastics Pvt. Ltd. budgets ₹25 per kg, needs 4 kg per unit, and then at month-end finds it spent way more. Was it the supplier overcharging? Or workers wasting material? These variances give you the answer — which is why this is an 8–10 mark staple in every CA Inter attempt.

The Material Cost Variance (MCV) is the big picture: Standard Cost of actual output minus Actual Cost. It splits into two clean parts. Material Price Variance (MPV) = (Standard Price − Actual Price) × Actual Quantity — it measures the purchasing department's performance. If actual price is higher than standard, MPV is Adverse. Material Usage Variance (MUV) = (Standard Quantity for actual output − Actual Quantity) × Standard Price — this measures shop-floor efficiency. The phrase for actual output is critical — your SQ must always be based on what was actually produced, never the budgeted output. Always verify: MCV = MPV + MUV. If this doesn't reconcile, stop and find the error before the examiner does.

When a question involves two or more raw materials mixed together — common in chemical, paint, or food processing scenarios — you go one level deeper. The MUV itself splits into Material Mix Variance (MMV) and Material Yield Variance (MYV), where MUV = MMV + MYV. MMV captures whether materials were mixed in the correct proportion. To compute it, calculate the Revised Standard Quantity (RSQ) by applying the standard ratio to the actual total input. MYV captures whether that actual input yielded as much output as it theoretically should have. Both sub-variances are asked as part of long-form questions and appear almost every May attempt. Always write Favorable (F) or Adverse (A) next to every variance — examiners are instructed to deduct marks if this is missing.

📊 Worked example

Example 1 — Basic Three-Variance Analysis

Question: Sharma Plastics Pvt. Ltd. standard: 4 kg of material per unit @ ₹25/kg. In March, 200 units were produced. Actual: 850 kg used @ ₹28/kg. Compute MCV, MPV, and MUV.

Working:

| Item | Calculation | Amount |

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

| Standard Quantity (SQ) for actual output | 200 × 4 | 800 kg |

| Standard Cost (SC) | 800 × ₹25 | ₹20,000 |

| Actual Cost (AC) | 850 × ₹28 | ₹23,800 |

MCV = SC − AC = ₹20,000 − ₹23,800 = ₹3,800 (Adverse)

MPV = (SP − AP) × AQ = (₹25 − ₹28) × 850 = ₹2,550 (Adverse)

MUV = (SQ − AQ) × SP = (800 − 850) × ₹25 = ₹1,250 (Adverse)

Verification: ₹2,550 (A) + ₹1,250 (A) = ₹3,800 (A) = MCV ✓

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Example 2 — Mix & Yield Variances

Question: Rajesh Chemicals Pvt. Ltd. standard to produce 80 kg of output:

  • Material X: 50 kg @ ₹10/kg
  • Material Y: 50 kg @ ₹6/kg

Actual production in April: 160 kg. Actual inputs: Material X — 90 kg @ ₹12/kg; Material Y — 120 kg @ ₹6/kg. Compute all material variances.

Working:

Standard cost per kg of output = (50×₹10 + 50×₹6) ÷ 80 = ₹800 ÷ 80 = ₹10/kg

Standard quantities for 160 kg actual output:

  • SQ(X) = (50/80) × 160 = 100 kg → ₹1,000
  • SQ(Y) = (50/80) × 160 = 100 kg → ₹600
  • Total SC = ₹1,600

Actual Cost = (90 × ₹12) + (120 × ₹6) = ₹1,080 + ₹720 = ₹1,800

MCV = ₹1,600 − ₹1,800 = ₹200 (Adverse)

MPV = [(₹10−₹12)×90] + [(₹6−₹6)×120] = −₹180 + ₹0 = ₹180 (Adverse)

MUV = [(100−90)×₹10] + [(100−120)×₹6] = ₹100(F) − ₹120(A) = ₹20 (Adverse)

Check: ₹180(A) + ₹20(A) = ₹200(A) = MCV ✓

Revised Standard Quantity (RSQ): Actual total input = 210 kg; standard ratio = 50:50

  • RSQ(X) = (50/100) × 210 = 105 kg
  • RSQ(Y) = (50/100) × 210 = 105 kg

MMV = [(105−90)×₹10] + [(105−120)×₹6] = ₹150(F) − ₹90(A) = ₹60 (Favorable)

Standard yield from 210 kg actual input = 210 × (80/100) = 168 kg; Actual yield = 160 kg

MYV = (160 − 168) × ₹10 = ₹80 (Adverse)

Check: ₹60(F) + ₹80(A) = ₹20(A) = MUV ✓

⚠️ Common exam mistakes

  • Using budgeted output instead of actual output when computing SQ. SQ in MUV is the quantity allowed for actual production. If you produced 200 units but planned 250, SQ = 200 × standard kg — not 250 × standard kg.
  • Forgetting to label Favorable or Adverse. Every single variance must end with (F) or (A). Examiners are explicitly told to deduct marks for this. Write it automatically, even when the answer is zero.
  • Applying MPV to standard quantity instead of actual quantity. MPV = (SP − AP) × AQ. You measure the price gain/loss on what was actually purchased, not the standard allowed amount.
  • Miscalculating RSQ in Mix Variance. RSQ is the standard proportion applied to actual total input, not the standard total input. Recompute RSQ from scratch using the actual combined quantity every time — never reuse the standard total.
  • Skipping the verification chain. Always confirm MCV = MPV + MUV, then MUV = MMV + MYV. A discrepancy means you have an arithmetic error somewhere — find it in the exam hall, not after submitting.
📖 Reference: Material Variances — Institute of Chartered Accountants of India
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