Standard Costing & Variance Analysis Formula Sheet

PFRDA Grade A • SEBI Grade A • RBI Grade B • UPSC EPFO APFC

⚡ Quick Answer & AI Exam Snapshot (TL;DR)

Standard Costing is a control technique that compares pre-determined Standard Costs (scientific target costs for actual output) with Actual Costs incurred, analyzing the differences (Variances) by cause and responsibility so management can practice ‘Management by Exception’. Every SEBI Grade A and PFRDA Grade A aspirant must master the Material Variance tree (MCV = MPV + MUV, where MUV = MMV + MYV) and the Labour Variance tree (LCV = LRV + LEV + Idle Time Variance, where Idle Time Variance is ALWAYS Adverse!).

1. Direct Material Variances: Complete Formula Tree (MCV = MPV + MUV)

Crucial Exam Rule: Standard Quantity (SQ) ALWAYS means the Standard Quantity of Raw Material allowed for the ACTUAL OUTPUT produced (never for budgeted output!). If Standard Cost > Actual Cost, the variance is Favourable (F); if Actual Cost > Standard Cost, it is Adverse / Unfavourable (A).

1. Material Cost Variance (MCV):
MCV = Standard Cost for Actual Output − Actual Cost = (SQ × SP) − (AQ × AP)

2. Material Price Variance (MPV — Responsibility of Purchase Manager):
MPV = Actual Quantity × (Standard Price − Actual Price) = AQ × (SP − AP)

3. Material Usage / Quantity Variance (MUV — Responsibility of Production / Shop-Floor Manager):
MUV = Standard Price × (Standard Quantity for Actual Output − Actual Quantity) = SP × (SQ − AQ)
Reconciliation Check: MCV = MPV + MUV

When Two or More Raw Materials Are Mixed, MUV splits into:
4. Material Mix Variance (MMV):
MMV = Standard Price × (Revised Standard Quantity − Actual Quantity) = SP × (RSQ − AQ)
(Where RSQ = Total Actual Quantity Mixed apportioned in Standard Mix Ratio)

5. Material Yield Variance (MYV) / Material Sub-Usage Variance (MSUV):
MSUV = Standard Price × (Standard Quantity − Revised Standard Quantity) = SP × (SQ − RSQ)
MYV = Standard Cost per Unit of Output × (Actual Output Yield − Standard Output Yield expected from Total Actual Input)
Reconciliation Check: MUV = MMV + MYV (or MSUV)

2. Direct Labour Variances: Complete Formula Tree (LCV = LRV + LEV + ITV)

In Labour Variances, distinguish between Actual Hours Paid For (AH_P) and Actual Hours Worked (AH_W) when there is Abnormal Idle Time (Idle Hours = AH_P − AH_W):

1. Labour Cost Variance (LCV):

LCV = (Standard Hours for Actual Output × Standard Rate) − (Actual Hours Paid × Actual Rate) = (SH × SR) − (AH_P × AR)

2. Labour Rate (of Pay) Variance (LRV — Responsibility of HR / Wage Negotiation):
LRV = Actual Hours Paid × (Standard Rate − Actual Rate) = AH_P × (SR − AR)

3. Labour Idle Time Variance (ITV):
ITV = Idle Hours × Standard Rate = (AH_P − AH_W) × SR
Exam Rule: Labour Idle Time Variance is ALWAYS ADVERSE (Unfavourable)!

4. Labour Efficiency (Time) Variance (LEV — Net of Idle Time):
LEV = Standard Rate × (Standard Hours for Actual Output − Actual Hours WORKED) = SR × (SH − AH_W)
Reconciliation Check: LCV = LRV + LEV + Idle Time Variance

When Multiple Grades of Workers (Skilled, Semi-Skilled, Unskilled) Are Used, LEV splits into:
• Labour Mix (Gang Composition) Variance (LMV): SR × (RSH − AH_W)
• Labour Yield / Sub-Efficiency Variance (LYV): SR × (SH − RSH)

3. Variable & Fixed Overhead Variances + Controllable vs Uncontrollable Variances

Overhead Variance Type Sub-Variances & Exact Formula

1. Variable Overhead Cost Variance (VOCV)
(SH × SR) − Actual VOH Splits into two sub-variances:
• VOH Expenditure (Spending) Variance: (Actual Hours Worked × Standard VOH Rate) − Actual VOH
• VOH Efficiency Variance: Standard VOH Rate × (Standard Hours for Actual Output − Actual Hours Worked)

2. Fixed Overhead Cost Variance (FOCV)
Absorbed FOH − Actual FOH Splits into two primary sub-variances:
• 1. Fixed Overhead Expenditure (Budget) Variance: Budgeted Fixed Overheads − Actual Fixed Overheads
• 2. Fixed Overhead Volume Variance: Absorbed Fixed Overheads − Budgeted Fixed Overheads = Standard Rate per unit × (Actual Output − Budgeted Output)
(Volume Variance further splits into: Efficiency Variance + Capacity Variance + Calendar Variance).

Overhead Variance Type	Sub-Variances & Exact Formula
1. Variable Overhead Cost Variance (VOCV) `(SH × SR) − Actual VOH`	Splits into two sub-variances: • VOH Expenditure (Spending) Variance: `(Actual Hours Worked × Standard VOH Rate) − Actual VOH` • VOH Efficiency Variance: `Standard VOH Rate × (Standard Hours for Actual Output − Actual Hours Worked)`
2. Fixed Overhead Cost Variance (FOCV) `Absorbed FOH − Actual FOH`	Splits into two primary sub-variances: • 1. Fixed Overhead Expenditure (Budget) Variance: `Budgeted Fixed Overheads − Actual Fixed Overheads` • 2. Fixed Overhead Volume Variance: `Absorbed Fixed Overheads − Budgeted Fixed Overheads = Standard Rate per unit × (Actual Output − Budgeted Output)` (Volume Variance further splits into: Efficiency Variance + Capacity Variance + Calendar Variance).

🎯 High-Yield Exam One-Liners (Last-Minute Revision Box)

Standard Costing operates on the managerial principle of ‘Management by Exception’ (focusing management’s attention only on significant adverse/favourable variances).
Ideal (Perfection) Standards assume zero breakdown or wastage and demotivate workers; ‘Attainable (Expected) Standards’ are the best for cost control.
‘Basic Standards’ remain unaltered over a long period of years and are used only to measure long-term efficiency trends (like base year index numbers).
In Material Usage Variance (MUV), ‘Standard Quantity (SQ)’ is ALWAYS calculated for the ACTUAL OUTPUT produced, not the budgeted output.
Material Cost Variance (MCV) = Material Price Variance (MPV) + Material Usage Variance (MUV).
Material Price Variance (MPV) = Actual Quantity × (Standard Price − Actual Price); it is generally the responsibility of the Purchasing Department.
Material Usage Variance (MUV) = Standard Price × (Standard Quantity for Actual Output − Actual Quantity); it is the responsibility of the Production Department.
Material Usage Variance (MUV) = Material Mix Variance (MMV) + Material Yield Variance (MYV / Sub-Usage Variance).
Labour Cost Variance (LCV) = Labour Rate Variance (LRV) + Labour Efficiency Variance (LEV) + Labour Idle Time Variance (ITV).
Labour Idle Time Variance is ALWAYS Adverse (Unfavourable) and is calculated as: Idle Hours × Standard Hourly Wage Rate.
When Idle Time exists, Labour Rate Variance uses Actual Hours PAID FOR, whereas Labour Efficiency Variance uses Actual Hours WORKED.
Labour Mix Variance is also known as ‘Gang Composition Variance’.
Variable Overhead Cost Variance = Variable Overhead Expenditure Variance + Variable Overhead Efficiency Variance.
Fixed Overhead Cost Variance = Fixed Overhead Expenditure (Budget) Variance + Fixed Overhead Volume Variance.
Fixed Overhead Volume Variance arises ONLY in Fixed Overheads (Variable Overheads NEVER have a Volume Variance!).
Fixed Overhead Volume Variance = Fixed Overhead Efficiency Variance + Capacity Variance + Calendar Variance.
Sales Value Variance = Sales Price Variance + Sales Volume Variance (and Sales Volume Variance = Sales Mix Variance + Sales Quantity Variance).

📝 UPSC & Regulatory Level Practice MCQs (With Detailed Solutions)

Q1. To manufacture 1 unit of Finished Product ‘X’, the standard requirement is 5 kg of raw material at a Standard Price of ₹20 per kg. During October, 1,000 units of Product ‘X’ were actually produced using 5,200 kg of raw material purchased at an Actual Price of ₹19 per kg. Calculate (i) Material Price Variance (MPV) and (ii) Material Usage Variance (MUV):

A. MPV = ₹5,200 (Favourable); MUV = ₹4,000 (Adverse)
B. MPV = ₹5,000 (Favourable); MUV = ₹3,800 (Adverse)
C. MPV = ₹5,200 (Adverse); MUV = ₹4,000 (Favourable)
D. MPV = ₹4,000 (Favourable); MUV = ₹5,200 (Adverse)

Correct Answer: (A) — Standard Quantity (SQ) for Actual Output of 1,000 units = 1,000 × 5 kg = 5,000 kg; SP = ₹20; AQ = 5,200 kg; AP = ₹19. (i) MPV = AQ × (SP − AP) = 5,200 × (20 − 19) = ₹5,200 (Favourable, since AP < SP). (ii) MUV = SP × (SQ − AQ) = 20 × (5,000 − 5,200) = ₹4,000 (Adverse, since AQ > SQ). Check: MCV = (5,000 × 20) − (5,200 × 19) = 1,00,000 − 98,800 = ₹1,200 (F) = 5,200 (F) − 4,000 (A)!

Q2. In a factory, the Standard Time allowed for actual output is 2,000 hours at a Standard Wage Rate of ₹50 per hour. During the month, workers were paid for 2,200 hours at an Actual Wage Rate of ₹52 per hour, which included 100 hours of Abnormal Idle Time due to power failure. What are the (i) Idle Time Variance and (ii) Labour Efficiency Variance (net of idle time)?

A. Idle Time Variance = ₹5,200 (Adverse); Labour Efficiency Variance = ₹10,000 (Adverse)
B. Idle Time Variance = ₹5,000 (Adverse); Labour Efficiency Variance = ₹5,000 (Adverse)
C. Idle Time Variance = ₹5,000 (Favourable); Labour Efficiency Variance = ₹5,000 (Adverse)
D. Idle Time Variance = ₹5,200 (Adverse); Labour Efficiency Variance = ₹5,200 (Adverse)

Correct Answer: (B) — (i) Idle Time Variance = Idle Hours × Standard Rate = 100 hours × ₹50 = ₹5,000 (Adverse). (ii) Actual Hours Worked (AH_W) = Hours Paid (2,200) − Idle Hours (100) = 2,100 hours. Labour Efficiency Variance = SR × (SH − AH_W) = ₹50 × (2,000 − 2,100) = ₹5,000 (Adverse).

Q3. Which of the following variances is ALWAYS Adverse (Unfavourable) whenever it occurs?

A. Material Mix Variance
B. Labour Idle Time Variance
C. Fixed Overhead Calendar Variance
D. Variable Overhead Expenditure Variance

Correct Answer: (B) — Since standard costing assumes zero abnormal idle hours inside standard time, any abnormal idle hours represent pure unproductive time paid for, making Labour Idle Time Variance always Adverse.

Q4. Which of the following sub-variances exists ONLY for Fixed Overheads and NEVER exists for Variable Overheads?

A. Expenditure (Spending) Variance
B. Efficiency Variance
C. Volume Variance (including Capacity and Calendar Variances)
D. Cost Variance

Correct Answer: (C) — Variable overheads vary directly with output volume, so budgeted VOH per unit stays constant across volumes. Fixed overheads are constant in total, so producing more or fewer units than budgeted creates a Fixed Overhead Volume Variance (Capacity + Calendar + Efficiency).

Q5. In Standard Costing, standards that are established for use unaltered over a long period of years to show long-term trends—much like a base year in index numbers—are known as:

A. Current Standards
B. Ideal (Perfection) Standards
C. Basic (Bogey) Standards
D. Attainable Standards

Correct Answer: (C) — Basic Standards (also called Bogey Standards) are fixed for a base year and kept unchanged over a long period to measure multi-year trends in price and efficiency.

❓ Frequently Asked Questions (Exam FAQs)

Q: Why is Idle Time Variance separated from Labour Efficiency Variance?

Workers and shop-floor supervisors have no control over abnormal idle time caused by power outages, machine breakdowns, or raw material stock-outs. If Idle Hours were not deducted from Actual Hours Paid before computing Labour Efficiency Variance, workers would be unfairly blamed for inefficiency during machine downtime.

Q: What is ‘Management by Exception’ in Standard Costing?

Under Management by Exception, routine operations that meet standard costs are left to run without top-management interference, and only significant favourable or adverse variances exceeding tolerance thresholds are reported to top management for corrective action.

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