Standard Costing and Variance Analysis is tested through 2 to 3 formula and numerical questions in SEBI Grade A Paper-2. Every aspirant must master the variance hierarchy across three cost elements: (1) Direct Material Variances: Material Cost Variance (MCV = SC – AC = [SQ x SP] – [AQ x AP]) splits into Material Price Variance (MPV = [SP – AP] x AQ) and Material Usage Variance (MUV = [SQ – AQ] x SP); MUV further splits into Material Mix Variance (MMV = [RSQ – AQ] x SP) and Material Yield/Sub-Usage Variance (MYV = [SQ – RSQ] x SP); (2) Direct Labour Variances: Labour Cost Variance (LCV = [SH x SR] – [AH_paid x AR]) splits into Labour Rate Variance (LRV = [SR – AR] x AH_paid), Labour Idle Time Variance (ITV = Idle Hours x SR — ALWAYS Adverse!), and Net Labour Efficiency Variance (LEV = [SH – AH_worked] x SR); and (3) Variable & Fixed Overhead Variances (Expenditure Variance + Volume Variance [Efficiency + Capacity + Calendar]).
1. Direct Material Cost Variances: Complete Formula Hierarchy (MCV = MPV + MUV; MUV = MMV + MYV)
Memorize the 5 Direct Material Variance equations and the golden rule that Standard Quantity ($SQ$) is ALWAYS recalculated for ACTUAL Output produced:
• $SQ$ = Standard Quantity of material allowed for ACTUAL Output (If standard is 2 kg per unit of output and actual output is 1,000 units, $SQ = 2 \times 1,000 = 2,000\text{ kg}$!).
• $SP$ = Standard Price per kg/unit of material.
• $AQ$ = Actual Quantity of material consumed.
• $AP$ = Actual Price per kg/unit of material.
• $RSQ$ = Revised Standard Quantity = Total Actual Quantity of all materials mixed ($\sum AQ$) apportioned in the Standard Mix Ratio!
The 5 Direct Material Variance Formulas:
1. Material Cost Variance (MCV):
$$\text{MCV} = \text{Standard Cost for Actual Output} – \text{Actual Cost} = (SQ \times SP) – (AQ \times AP)$$
2. Material Price Variance (MPV):
$$\text{MPV} = (SP – AP) \times AQ$$
3. Material Usage (Quantity) Variance (MUV):
$$\text{MUV} = (SQ – AQ) \times SP \quad \Longrightarrow \quad \mathbf{\text{Check: } \text{MCV} = \text{MPV} + \text{MUV}}$$
4. Material Mix Variance (MMV — When 2 or more materials are mixed):
$$\text{MMV} = (RSQ – AQ) \times SP$$
5. Material Yield Variance (MYV / Material Sub-Usage Variance):
$$\text{MYV} = (SQ – RSQ) \times SP \quad \text{OR} \quad (\text{Actual Yield} – \text{Standard Yield for Actual Input}) \times \text{Standard Cost per unit of Output}$$
$$\mathbf{\text{Check: } \text{MUV} = \text{MMV} + \text{MYV}}$$
2. Direct Labour Variances: Rate (LRV), Idle Time (ITV), Efficiency (LEV), Mix/Gang & Yield
Let $SH$ = Standard Hours allowed for Actual Output; $SR$ = Standard Wage Rate per hour; $AH_{\text{paid}}$ = Actual Hours Paid For; $AH_{\text{worked}}$ = Actual Hours Worked ($AH_{\text{paid}} – \text{Idle Hours}$); $AR$ = Actual Wage Rate per hour:
1. Labour Cost Variance (LCV):
$$\text{LCV} = (SH \times SR) – (AH_{\text{paid}} \times AR)$$
2. Labour Rate (of Pay) Variance (LRV — Always computed on HOURS PAID!):
$$\text{LRV} = (SR – AR) \times AH_{\text{paid}}$$
3. Labour Idle Time Variance (ITV — ALWAYS ADVERSE / UNFAVOURABLE!):
$$\text{ITV} = (AH_{\text{worked}} – AH_{\text{paid}}) \times SR = -(\text{Idle Hours} \times SR) \text{ [Always Adverse!]}$$
4. Net Labour Efficiency Variance (LEV — Computed on HOURS WORKED!):
$$\text{LEV} = (SH – AH_{\text{worked}}) \times SR$$
$$\mathbf{\text{Check: } \text{LCV} = \text{LRV} + \text{ITV (Adverse)} + \text{Net LEV}}$$
5. Labour Mix (Gang Composition) Variance (LMV): $(RSH – AH_{\text{worked}}) \times SR$ (where $RSH$ = Total $AH_{\text{worked}}$ split in Standard Gang Ratio).
6. Labour Sub-Efficiency (Yield) Variance (LYV): $(SH – RSH) \times SR$.
3. Variable & Fixed Overhead Variances & Organizational Responsibility Matrix
| Overhead Variance Category | Exact Formula & Sub-Breakdown |
|---|---|
| 1. Variable Overhead Cost Variance (VOCV) $\text{VOCV} = \text{VOEV} + \text{VOEffV}$ |
• Total VOCV: $(\text{Absorbed Variable OH for Actual Output}) – (\text{Actual Variable OH})$. • Variable OH Expenditure (Spending) Variance: $(SR \times AH) – \text{Actual Variable OH}$. • Variable OH Efficiency Variance: $(SH – AH) \times \text{Standard Variable OH Rate per hour}$. |
| 2. Fixed Overhead Cost Variance (FOCV) $\text{FOCV} = \text{FOExpV} + \text{FOVolV}$ |
• Total FOCV (Under/Over-Absorption!): $(\text{Absorbed Fixed OH for Actual Output}) – (\text{Actual Fixed OH})$. • 1. Fixed OH Expenditure (Budget) Variance: $\text{Budgeted Fixed OH} – \text{Actual Fixed OH}$. • 2. Fixed OH Volume Variance: $\text{Absorbed Fixed OH} – \text{Budgeted Fixed OH} = (\text{Actual Output} – \text{Budgeted Output}) \times \text{Standard Fixed OH Rate per unit}$. Volume Variance further splits into 3 sub-variances: (a) Fixed OH Efficiency Variance: $(SH – AH) \times \text{Std Fixed OH Rate/hr}$; (b) Fixed OH Capacity Variance: $(AH – \text{Revised Budgeted Hours}) \times \text{Std Fixed OH Rate/hr}$; (c) Fixed OH Calendar Variance: $(\text{Actual Working Days} – \text{Budgeted Working Days}) \times \text{Std Fixed OH Rate per day}$. |
| 3. Departmental Responsibility for Variances (Exam Favourite!) | • Material Price Variance (MPV): Purchase Department / Purchase Manager. • Material Usage / Mix / Yield Variance (MUV): Production / Shop-Floor Foreman. • Labour Rate Variance (LRV): HR / Personnel Department (or Production Manager if unplanned overtime used). • Labour Efficiency Variance (LEV): Production Manager / Foreman. • Sales Price & Volume Variances: Sales / Marketing Department. |
🎯 High-Yield Exam One-Liners (Last-Minute Revision Box)
- Standard Costing uses predetermined standards to measure variances via ‘Management by Exception’ (focusing management attention only on significant Adverse/Favourable deviations).
- Basic Standards remain unaltered over long periods for trend analysis; Ideal Standards assume 100% perfection with zero wastage/idle time; Normal/Attainable Standards allow for normal unavoidable wastage and are best for cost control.
- In all Material and Labour Variance calculations, Standard Quantity (SQ) and Standard Hours (SH) must ALWAYS be calculated for the ACTUAL OUTPUT produced (never for Budgeted Output!).
- Material Cost Variance (MCV) = (SQ x SP) – (AQ x AP) = Material Price Variance (MPV) + Material Usage Variance (MUV).
- Material Price Variance (MPV) = (Standard Price – Actual Price) x Actual Quantity [(SP – AP) x AQ]; the Purchase Department is primarily accountable for MPV.
- Material Usage Variance (MUV) = (Standard Quantity for Actual Output – Actual Quantity) x Standard Price [(SQ – AQ) x SP]; the Production Department is accountable for MUV.
- Material Usage Variance (MUV) = Material Mix Variance (MMV) + Material Yield Variance (MYV).
- Material Mix Variance (MMV) = (Revised Standard Quantity [RSQ] – Actual Quantity [AQ]) x Standard Price.
- Labour Cost Variance (LCV) = (SH x SR) – (AH_paid x AR) = Labour Rate Variance + Idle Time Variance + Net Labour Efficiency Variance.
- Labour Rate Variance (LRV) is always computed on Actual Hours PAID [(SR – AR) x AH_paid], whereas Net Labour Efficiency Variance (LEV) is computed on Actual Hours WORKED [(SH – AH_worked) x SR].
- Labour Idle Time Variance (Idle Hours x Standard Rate) is ALWAYS Adverse (Unfavourable) without exception!
- Labour Mix Variance is also known as ‘Gang Composition Variance’.
- Variable Overhead Cost Variance = Variable OH Expenditure Variance + Variable OH Efficiency Variance (there is NO Volume Variance for Variable Overheads!).
- Fixed Overhead Cost Variance = Fixed OH Expenditure (Budget) Variance + Fixed OH Volume Variance.
- Fixed Overhead Volume Variance arises solely because Actual Production Volume differs from Budgeted Production Volume.
- Fixed Overhead Volume Variance = Fixed OH Efficiency Variance + Fixed OH Capacity Variance + Fixed OH Calendar Variance.
- Controllable Variances are those that can be attributed to a specific functional manager inside the organization, whereas Uncontrollable Variances arise from external market forces (e.g., statutory minimum wage hike or global oil shock).
📝 UPSC & Regulatory Level Practice MCQs (With Detailed Solutions)
❓ Frequently Asked Questions (Exam FAQs)
Q: Why is there a Fixed Overhead Volume Variance but NO Variable Overhead Volume Variance?
Variable Overheads vary directly in proportion to production volume, so the budgeted allowance flexes automatically with actual output. Fixed Overheads, however, remain constant in total regardless of volume; when actual production differs from budgeted production, the fixed overhead absorbed per unit over-recovers or under-recovers the lump-sum fixed cost, creating a Fixed Overhead Volume Variance.
Q: Who is responsible when an Adverse Material Usage Variance is caused by purchasing sub-standard cheap raw material?
Normally, the Production Manager is responsible for Material Usage Variance. However, if the excess wastage occurred because the Purchase Manager bought inferior-quality raw material to achieve a Favourable Material Price Variance, the Adverse Usage Variance is attributed to the Purchase Department.
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