Standard Costing and Variance Analysis | A Level Accounting 9706

📘 Lesson 11 of 20

55% complete Paper 1 Paper 3 Paper 4

1. What is Standard Costing? 9706 / 4.4

A standard cost is a predetermined cost calculated for one unit of product — based on expected quantities of inputs and expected prices for those inputs. It represents the cost that should be incurred under efficient operating conditions.

Standard cost per unit = (Standard quantity × Standard price) for each input

For example: if a product should use 3 kg of material at $4 per kg, the standard material cost per unit is $12. If a product should take 2 hours at $8 per hour, the standard labour cost is $16 per unit.

Purposes of Standard Costing

Purpose	Explanation
Control	Variances between standard and actual costs pinpoint areas of inefficiency for management investigation
Performance measurement	Managers are assessed against standard — actual cost below standard = performing well
Pricing decisions	Standard cost provides a reliable basis for setting selling prices with a target margin
Stock valuation	Inventory is valued at standard cost — simplifies bookkeeping (actual costs vary but standard is consistent)
Budgeting	Standard costs feed directly into budgets — production budget uses standard cost per unit

📌 Standard Costing vs Budgeting: Budgetary control (Lesson 8) compares total actual costs against total budgeted costs. Standard costing goes deeper — it analyses why a cost variance arose by separating it into a price variance (did we pay more or less than expected?) and a usage/efficiency variance (did we use more or less than expected?).

2. Material Variances Group 1

The total material variance is split into two components: the price variance (was material cheaper or more expensive than standard?) and the usage variance (did we use more or less material than standard for the actual output produced?).

🔵 Material Variances — Formulae

Total Material Variance = (Standard cost for actual output) − (Actual cost) Material Price Variance = (Standard price − Actual price) × Actual quantity purchased Material Usage Variance = (Standard quantity for actual output − Actual quantity used) × Standard price Check: Price Variance + Usage Variance = Total Material Variance

Price variance — responsibility of the purchasing manager. Was material bought at the right price?
Usage variance — responsibility of the production manager. Was material used efficiently?

📋 Example 1 — Material Variances

Standard: 4 kg per unit at $5 per kg (standard material cost = $20 per unit)
Actual production: 1,000 units
Actual material purchased and used: 4,200 kg at $4.80 per kg

Variance	Calculation	Amount ($)	F or A?
Total Material Variance	(1,000 × $20) − (4,200 × $4.80) = $20,000 − $20,160	160	Adverse
Material Price Variance	($5.00 − $4.80) × 4,200 = $0.20 × 4,200	840	Favourable
Material Usage Variance	(4,000 − 4,200) × $5.00 = −200 × $5.00	1,000	Adverse
Check: Price + Usage		840 F − 1,000 A = 160 A ✓	Adverse ✓

Interpretation: Material was bought cheaper than standard ($4.80 vs $5.00) — favourable price variance of $840. However, more material was used than standard (4,200 kg vs 4,000 kg standard for 1,000 units) — adverse usage variance of $1,000. The net effect is a small adverse variance of $160. The cheaper material may have caused the higher wastage — the purchasing and production managers should investigate together.

3. Labour Variances Group 2

The total labour variance is split into the rate variance (were workers paid at the right rate?) and the efficiency variance (did workers take the right amount of time?).

🟢 Labour Variances — Formulae

Total Labour Variance = (Standard labour cost for actual output) − (Actual labour cost) Labour Rate Variance = (Standard rate − Actual rate) × Actual hours worked Labour Efficiency Variance = (Standard hours for actual output − Actual hours worked) × Standard rate Check: Rate Variance + Efficiency Variance = Total Labour Variance

Rate variance — often caused by using different grades of workers, overtime payments, or unexpected wage rate changes.
Efficiency variance — caused by worker skill level, machine downtime, poor quality materials (linked to material usage variance), or supervision quality.

📋 Example 2 — Labour Variances

Standard: 2 hours per unit at $8 per hour (standard labour cost = $16 per unit)
Actual production: 1,000 units
Actual labour: 2,100 hours at $7.50 per hour

Variance	Calculation	Amount ($)	F or A?
Total Labour Variance	(1,000 × $16) − (2,100 × $7.50) = $16,000 − $15,750	250	Favourable
Labour Rate Variance	($8.00 − $7.50) × 2,100 = $0.50 × 2,100	1,050	Favourable
Labour Efficiency Variance	(2,000 − 2,100) × $8.00 = −100 × $8.00	800	Adverse
Check: Rate + Efficiency		1,050 F − 800 A = 250 F ✓	Favourable ✓

Interpretation: Workers were paid less than standard ($7.50 vs $8.00) — favourable rate variance of $1,050. However, workers took more time than standard (2,100 hours vs 2,000 standard hours for 1,000 units) — adverse efficiency variance of $800. The lower-paid workers may be less skilled, explaining the slower pace. Net effect is a small favourable variance of $250.

4. Fixed Overhead Variances Group 3

Fixed overhead variances arise because the actual fixed overhead incurred differs from the fixed overhead absorbed into production (under absorption costing). This section is examined at the higher level in Paper 4.

🟡 Fixed Overhead Variances — Formulae

Total Fixed Overhead Variance = Fixed overhead absorbed − Actual fixed overhead Fixed Overhead Expenditure Variance = Budgeted fixed overhead − Actual fixed overhead Fixed Overhead Volume Variance = Fixed overhead absorbed − Budgeted fixed overhead Check: Expenditure + Volume = Total Fixed Overhead Variance

Expenditure variance — did we spend more or less on fixed overheads than budgeted?
Volume variance — did we produce more or fewer units than budgeted? (Under/over-absorption from Lesson 9)

📋 Example 3 — Fixed Overhead Variances

Budgeted production: 1,200 units | Budgeted fixed overhead: $24,000
Standard fixed overhead per unit: $24,000 ÷ 1,200 = $20 per unit
Actual production: 1,000 units | Actual fixed overhead: $25,000

Variance	Calculation	Amount ($)	F or A?
Fixed overhead absorbed	1,000 units × $20	20,000	—
Total Fixed OH Variance	$20,000 absorbed − $25,000 actual	5,000	Adverse
Expenditure Variance	$24,000 budget − $25,000 actual	1,000	Adverse
Volume Variance	$20,000 absorbed − $24,000 budget	4,000	Adverse
Check: Expenditure + Volume		1,000 A + 4,000 A = 5,000 A ✓	Adverse ✓

💡 Volume variance explained: We budgeted to produce 1,200 units but only made 1,000 — so we absorbed less fixed overhead than we expected. The volume variance of $4,000 adverse represents the under-absorption caused by lower-than-budgeted output.

5. Sales Variances Group 4

Sales variances analyse why actual profit differs from budgeted profit due to sales performance. They are split into a price variance (did we sell at the right price?) and a volume variance (did we sell the right number of units?). Note: sales variances are expressed in terms of contribution under marginal costing.

🔴 Sales Variances — Formulae

Sales Price Variance = (Actual price − Standard price) × Actual units sold Sales Volume Contribution Variance = (Actual units sold − Budgeted units) × Standard contribution per unit Total Sales Variance = Sales Price Variance + Sales Volume Variance

Selling above standard price = Favourable price variance.
Selling more units than budgeted = Favourable volume variance.
These variances affect profit directly — the sales volume variance uses contribution per unit because that is the profit impact of selling one more unit.

📋 Example 4 — Sales Variances

Standard selling price: $50 per unit | Standard contribution: $20 per unit
Budgeted sales: 1,200 units
Actual sales: 1,100 units at $52 per unit

Variance	Calculation	Amount ($)	F or A?
Sales Price Variance	($52 − $50) × 1,100 = $2 × 1,100	2,200	Favourable
Sales Volume Variance	(1,100 − 1,200) × $20 = −100 × $20	2,000	Adverse
Total Sales Variance		2,200 F − 2,000 A = 200 F	Favourable

Possible relationship: The higher selling price ($52 vs $50) may have caused lower sales volume (1,100 vs 1,200 budgeted) — customers reduced orders in response to the price increase. However, the net effect is still slightly favourable — the extra revenue from the price increase more than compensates for the lost contribution from 100 fewer units.

6. Variance Reconciliation Statement Exam Focus

The reconciliation statement (also called the operating statement) brings all variances together to explain the difference between budgeted profit and actual profit. This is frequently the final part of a standard costing question in Paper 3.

📋 Example 5 — Full Reconciliation Statement

Using the data from Examples 1–4. Budgeted profit = 1,200 units × standard contribution $20 = $24,000 (assuming fixed costs are $24,000 leaving nil fixed cost variance for simplicity here).

Operating Statement — Reconciliation of Budgeted and Actual Profit

Budgeted Profit (1,200 units × $20 contribution) 24,000

SALES VARIANCES

Sales Price Variance (F) 2,200

Sales Volume Variance (A) (2,000)

COST VARIANCES

Material Price Variance (F) 840

Material Usage Variance (A) (1,000)

Labour Rate Variance (F) 1,050

Labour Efficiency Variance (A) (800)

Fixed Overhead Expenditure Variance (A) (1,000)

Fixed Overhead Volume Variance (A) (4,000)

Net variance effect (4,710)

Actual Profit 19,290

💡 Reconciliation format: Always start with budgeted profit, then list all variances — favourable ones added, adverse ones deducted. The final figure must equal actual profit. Cambridge mark schemes award marks for correct presentation as well as correct figures.

7. Causes and Interrelationships Between Variances

Variances rarely occur in isolation. A decision or event in one area often causes variances in other areas. Cambridge Paper 3 frequently asks you to explain possible causes and interrelationships.

Variance	Common Causes — Favourable	Common Causes — Adverse	Possible Interrelationship
Material Price (F)	Bulk discount; cheaper supplier; fall in market price	Price increase; emergency purchase; small order	Cheaper material → lower quality → adverse usage variance (more wastage)
Material Usage (F)	Better quality material; less wastage; skilled workers	Poor quality material; machine problems; theft; inexperienced workers	More material used → workers take longer → adverse labour efficiency variance
Labour Rate (F)	Less overtime; lower grade workers used; pay freeze	Unexpected pay rise; more overtime; higher grade workers	Lower grade workers (rate F) → slower work (efficiency A)
Labour Efficiency (F)	Skilled workers; better machinery; good supervision	Poor quality materials (linked to material usage A); machine downtime; low morale	Efficient workers produce more units → favourable overhead volume variance
Sales Price (F)	Premium pricing; product improvement; reduced competition	Discounting to win orders; price war; economic pressure	Higher price (F) → lower volume (adverse volume variance)

⚠️ Never investigate variances in isolation: A favourable material price variance might seem good — but if it was caused by buying cheaper, lower-quality materials that increased wastage (adverse usage) and slowed workers (adverse efficiency), the total effect may be adverse. Always consider the full picture.

8. Memory Aids & Common Mistakes

🧠 Memory Aid — All Variance Formulae in One Place

MATERIAL
Price: (SP − AP) × AQ purchased
Usage: (SQ for actual output − AQ used) × SP

LABOUR
Rate: (SR − AR) × AH worked
Efficiency: (SH for actual output − AH worked) × SR

FIXED OVERHEAD
Expenditure: Budgeted FO − Actual FO
Volume: Absorbed FO − Budgeted FO

SALES
Price: (AP − SP) × Actual units sold
Volume: (Actual units − Budgeted units) × Standard contribution

🧠 Memory Aid — Favourable or Adverse?

For cost variances: actual cost LESS than standard = Favourable
For sales variances: actual revenue/contribution MORE than budget = Favourable

Quick check: "Does this variance make profit higher or lower than standard?"
Higher = Favourable | Lower = Adverse

⚠️ Mistake 1 — Using wrong quantity in material price variance: Material price variance uses actual quantity purchased (not actual quantity used, and not standard quantity). This is because the price was paid on the quantity purchased — the price overpayment or saving applies to every kilogram bought, regardless of how much was used.

⚠️ Mistake 2 — Using actual hours in labour efficiency variance: Labour efficiency variance compares standard hours for actual output against actual hours worked — both multiplied by standard rate (not actual rate). Using actual rate in the efficiency variance mixes two variances together and gives wrong answers.

⚠️ Mistake 3 — Forgetting to use standard contribution for sales volume variance: Sales volume variance = change in units × standard contribution per unit (not standard selling price, not actual contribution). Contribution is the profit impact of selling one more unit — selling price alone ignores the variable cost of producing the additional unit.

⚠️ Mistake 4 — Reconciliation adds adverse variances instead of deducting: In the reconciliation statement, favourable variances are added to budgeted profit and adverse variances are deducted. A common mistake is to add all variances regardless of whether they are favourable or adverse — always check the sign before adding.

⚠️ Mistake 5 — Not checking that sub-variances add up to total variance: Always verify: Price + Usage = Total Material Variance, and Rate + Efficiency = Total Labour Variance. If these do not agree, an arithmetic error has been made. This check takes 10 seconds and prevents losing all method marks on the calculation.

📝 Exam Practice Questions

Question 1 Knowledge — 2 marks Paper 1

Explain the difference between a material price variance and a material usage variance, stating who is responsible for each.

The material price variance measures the difference between what was actually paid for materials and what should have been paid (standard price) for the quantity purchased. It is the responsibility of the purchasing manager — who controls the prices at which materials are bought. (1 mark)

The material usage variance measures whether more or less material was used than the standard quantity allowed for the actual output produced. It is the responsibility of the production manager — who controls how efficiently materials are used in the manufacturing process. (1 mark)

Question 2 Application — 8 marks Paper 3

Sindh Textiles Ltd has the following standard cost data per unit:

Item	Standard
Direct material	5 kg at $6 per kg = $30
Direct labour	3 hours at $9 per hour = $27

Actual results for the period:

Item	Actual
Units produced	800 units
Material purchased and used	4,200 kg at $6.50 per kg
Labour hours worked	2,350 hours at $8.80 per hour

Calculate all four variances (material price, material usage, labour rate, labour efficiency) stating whether each is Favourable or Adverse.

Variance	Calculation	Amount ($)	F or A?
Material Price	($6.00 − $6.50) × 4,200 = −$0.50 × 4,200	2,100	Adverse
Material Usage	(800×5 − 4,200) × $6 = (4,000 − 4,200) × $6	1,200	Adverse
Labour Rate	($9.00 − $8.80) × 2,350 = $0.20 × 2,350	470	Favourable
Labour Efficiency	(800×3 − 2,350) × $9 = (2,400 − 2,350) × $9	450	Favourable

Checks:
Total material: $2,100 A + $1,200 A = $3,300 A
Verify: (800 × $30) − (4,200 × $6.50) = $24,000 − $27,300 = $3,300 A ✓
Total labour: $470 F + $450 F = $920 F
Verify: (800 × $27) − (2,350 × $8.80) = $21,600 − $20,680 = $920 F ✓

(2 marks each variance — 1 for calculation, 1 for F/A)

Question 3 Application — 5 marks Paper 3

A company has the following data for the month of March 2026:

Item	Budget	Actual
Units sold	2,000	2,300
Selling price per unit	$40	$38
Standard contribution per unit	$15	—

Calculate the sales price variance, the sales volume variance, and prepare a brief reconciliation of budgeted and actual contribution.

Variance	Calculation	Amount ($)	F or A?
Sales Price	($38 − $40) × 2,300 = −$2 × 2,300	4,600	Adverse
Sales Volume	(2,300 − 2,000) × $15 = 300 × $15	4,500	Favourable

Contribution Reconciliation

Budgeted contribution (2,000 × $15) 30,000

Sales Volume Variance (F) 4,500

Sales Price Variance (A) (4,600)

Actual contribution (2,300 × $13*) 29,900

*Actual contribution per unit = $38 − $25 variable cost = $13 (standard VC = $40 − $15 = $25)

(2 marks variances + 3 marks reconciliation)

Question 4 Analysis — 4 marks Paper 3

A company reports a favourable labour rate variance of $3,200 and an adverse labour efficiency variance of $4,800. Explain two possible causes of this combination of variances and discuss whether the overall outcome is satisfactory.

Cause 1: The company may have used lower-grade, less-experienced workers who are paid at a lower rate (causing the favourable rate variance) but who work more slowly and produce more waste than standard (causing the adverse efficiency variance). (1 mark)

Cause 2: Workers may have been used on tasks below their normal skill level — for example, highly skilled workers redeployed to simpler tasks at a lower pay rate (favourable rate), but taking longer than standard because the tasks are unfamiliar to them (adverse efficiency). (1 mark)

Overall outcome: The net labour variance is $3,200 F − $4,800 A = $1,600 Adverse — overall unsatisfactory. The cost saving from the lower wage rate is more than offset by the inefficiency cost. (1 mark)

Management should investigate whether the quality of output has also suffered — adverse efficiency often accompanies quality problems that may generate customer complaints or rework costs not captured in the variance. (1 mark)

Question 5 Analysis — 3 marks Paper 1

Discuss three limitations of standard costing as a performance measurement tool.

Any three of the following (1 mark each):

Standards quickly become outdated: In rapidly changing markets, standard costs set at the beginning of the year may become unrealistic within months as input prices, technology and processes change.
Difficult to set accurate standards: Setting realistic standards requires significant time and expertise. Inaccurate standards produce misleading variances that do not reflect true performance.
Focus on financial measures only: Standard costing ignores non-financial performance measures such as quality, customer satisfaction and delivery time — which may be equally important to business success.
May encourage dysfunctional behaviour: Managers may purchase cheaper materials to generate a favourable price variance even if the lower quality harms production efficiency — optimising their own variance at the expense of overall company performance.
Less relevant in modern manufacturing: In automated, lean manufacturing environments, the split between labour rate and efficiency variances is less meaningful — direct labour may be a very small proportion of total cost.

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