Notes · AccountingUK · A-Levels

Standard costing and variance analysis

Standard costing sets predetermined costs for materials, labour and overheads, and variance analysis explains the difference between those standards and the actual results. This chapter covers the setting of standards, the calculation of direct materials and direct labour variances (total, price/rate and usage/efficiency), the reconciliation of standard to actual cost, and the interpretation of what variances reveal.

4 sections~18 min reading time3 competenciesLevel Standard 1 · Advanced 3

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Exam profile

AO1 · Understand standard costing and the meaning of each varianceAO2 · Calculate materials and labour variances and reconcile standard cost to actual costAO3 · Analyse the causes and interrelationships of variances and evaluate standard costing

Operators:calculateexplainreconcileanalyseinterpretevaluate

basic level

AS-Level introduces the idea of standards and simple variances.

higher level

The full A-Level expects the calculation, reconciliation and interpretation of materials and labour variances and evaluation of standard costing.

Depth

Text

Contents · 4 sections

Standard costing and variance analysis

Standard costing and setting standards#

StandardAQA 7127 3.11

The anatomy of cost variances

Fig. 1Each total cost variance splits into a price/rate variance (how much each input cost) and a usage/efficiency variance (how much input was used).

A standard cost is a predetermined, carefully estimated cost of producing one unit under efficient operating conditions - the cost the business expects each unit to incur. It is built up from standards for each input: a standard quantity and standard price for materials, a standard time and standard rate for labour, and standard rates for overheads. Standard costing is the system of setting these standards, recording the actual costs, and analysing the differences (variances) between them. Its purpose is control: by comparing what a unit should have cost with what it actually cost, managers can pinpoint where performance departed from plan and investigate why, so standards act as the benchmark that makes cost control precise.

How standards are set matters, because the standard is the yardstick everything is measured against. An ideal standard assumes perfect efficiency - no waste, no idle time, no machine breakdowns - and is rarely achieved, so it can demotivate staff who never meet it, though it shows the theoretical best. An attainable standard assumes efficient but realistic operating conditions, allowing for normal levels of waste and downtime; it is challenging but reachable, and so is generally preferred because it motivates without demoralising. A basic standard is left unchanged over a long period to reveal trends. Choosing the right kind of standard is partly a technical and partly a behavioural decision, echoing the budgeting chapter.

A variance is the difference between the standard (expected) cost or revenue and the actual, and each is labelled favourable or adverse by its effect on profit. A variance is favourable when the actual outcome is better for profit than the standard - a lower cost than standard, or a higher revenue than standard - and adverse (unfavourable) when it is worse - a higher cost or lower revenue than standard. As in variance analysis for budgets, the direction is judged by the effect on profit, not by whether the number is higher or lower: actual materials costing less than standard is favourable; actual materials costing more is adverse. Getting the sign right is where precision marks are won.

The great strength of variance analysis is that a total variance can be broken down into its causes, and this is the heart of the technique. A total cost variance for materials, for instance, may arise because the price paid differed from standard (a price variance) or because the quantity used differed from standard (a usage variance) - or both. Splitting the total into these sub-variances tells managers not just that costs differed from plan but why, and therefore who is responsible and what to do: a price variance points to the purchasing function and market prices, a usage variance to the production function and efficiency. This decomposition - total into price and usage for materials, total into rate and efficiency for labour - is what the next two sections calculate.

Worked example

Understanding favourable and adverse

For each, state whether the variance is favourable or adverse: (a) materials cost £200 less than standard; (b) labour cost £150 more than standard; (c) more material was used per unit than standard.

Materials cost £200 less
A lower cost than standard is better for profit, so this is a £200 favourable variance.
Labour cost £150 more
A higher cost than standard is worse for profit, so this is a £150 adverse variance.
More material used per unit
Using more material than standard raises cost, worsening profit, so this (a usage variance) is adverse.

Result: (a) £200 favourable, (b) £150 adverse, (c) adverse - each judged by its effect on profit, not by whether the figure is higher or lower.

Typical mistakes

Labelling a variance by whether the figure is higher or lower rather than by its effect on profit.
Setting an ideal standard and then treating any shortfall as poor performance, ignoring realistic waste and downtime.

Active revision

Explain the difference between an ideal and an attainable standard and why an attainable standard is usually preferred for motivating staff.

Active recall

Recall the key points — then reveal.

Sources: AQA A-level Accounting 7127 specification (AQA)

Direct materials variances#

AdvancedAQA 7127 3.11

Direct materials variances

Fig. 2The £80 adverse total splits into a £420 favourable price variance (cheaper material) and a £500 adverse usage variance (more waste) - the cheaper material appears to have caused the extra usage.

The direct materials total variance is the difference between the standard material cost of the actual output and the actual material cost incurred. It answers the question: for the units we actually produced, how much more or less did materials cost than they should have? It is calculated as the standard cost of actual production minus the actual cost. This total is then split into two components that explain it - the price variance and the usage variance - which between them add back exactly to the total, providing a built-in check on the arithmetic.

The materials price variance measures the effect of paying a different price per unit of material from standard. It is calculated as the difference between the standard price and the actual price, multiplied by the actual quantity of material used (or purchased): (standard price - actual price) x actual quantity. A favourable price variance means the firm paid less than standard per kilogram or litre - perhaps by buying in bulk, negotiating well, or accepting lower quality; an adverse price variance means it paid more. Responsibility for the price variance usually lies with the purchasing function and with market conditions, and it is calculated on the actual quantity so that it isolates the pure price effect.

The materials usage variance measures the effect of using a different quantity of material from standard for the actual output. It is calculated as the difference between the standard quantity for the actual output and the actual quantity used, multiplied by the standard price: (standard quantity for actual output - actual quantity) x standard price. A favourable usage variance means less material was used than standard - efficient production, little waste; an adverse usage variance means more was used - waste, spoilage, poor-quality material or inefficient working. Responsibility usually lies with the production function, and it is valued at standard price so that the pure quantity effect is isolated from any price change.

The variances interlink, which is where interpretation deepens. A favourable price variance and an adverse usage variance can be connected: buying cheaper, lower-quality material (favourable price) may cause more waste (adverse usage), so the apparent purchasing 'saving' is partly or wholly cancelled by production inefficiency. A worked example makes the mechanics concrete. Standard: 2 kg per unit at £5 per kg (a £10 standard material cost per unit); actual production 1,000 units using 2,100 kg costing £10,080. The total variance is (1,000 x £10) - £10,080 = £80 adverse. The price variance is (£5 - £4.80) x 2,100 = £420 favourable (the actual price was £10,080 / 2,100 = £4.80). The usage variance is (2,000 - 2,100) x £5 = £500 adverse. The check: £420 favourable plus £500 adverse equals £80 adverse - the total. The cheaper material appears to have caused extra waste.

\text{Materials price variance} = (\text{Standard price} - \text{Actual price}) \times \text{Actual quantity}

Price variance

The effect of paying a different price. Valued on actual quantity to isolate the price effect. Here (5 - 4.80) x 2,100 = 420 F.

\text{Materials usage variance} = (\text{Standard quantity for actual output} - \text{Actual quantity}) \times \text{Standard price}

Usage variance

The effect of using a different quantity. Valued at standard price to isolate the quantity effect. Here (2,000 - 2,100) x 5 = 500 A.

Worked example

Calculating materials variances

The standard material cost is 2 kg per unit at £5 per kg. Actual production was 1,000 units, using 2,100 kg at a total cost of £10,080. Calculate the total, price and usage variances.

Total variance
Standard cost of actual output = 1,000 units x 2 kg x £5 = £10,000. Actual cost = £10,080. Total variance = £10,000 - £10,080 = £80 adverse.
Price variance
Actual price = £10,080 / 2,100 kg = £4.80/kg. Price variance = (£5 - £4.80) x 2,100 = £0.20 x 2,100 = £420 favourable.
Usage variance and check
Standard quantity for 1,000 units = 2,000 kg; actual 2,100 kg. Usage variance = (2,000 - 2,100) x £5 = -100 x £5 = £500 adverse. Check: £420 F + £500 A = £80 A = the total.

Result: Total £80 adverse, price £420 favourable, usage £500 adverse - the sub-variances reconcile to the total, and the pattern (cheaper material, more waste) suggests the two are linked.

Typical mistakes

Valuing the usage variance at actual price instead of standard price (which would double-count the price effect).
Comparing the actual quantity with the standard quantity for the BUDGETED output rather than for the ACTUAL output.

Active revision

Standard: 2 kg per unit at £5/kg. Actual: 1,000 units made using 2,100 kg costing £10,080. Calculate the materials total, price and usage variances and confirm they reconcile.

Active recall

Recall the key points — then reveal.

Sources: AQA A-level Accounting 7127 specification (AQA)

Direct labour variances#

AdvancedAQA 7127 3.11

Direct labour variances

Fig. 3The £32 adverse total splits into a £208 favourable rate variance (lower pay) and a £240 adverse efficiency variance (slower work) - cheaper labour that took longer.

The direct labour variances follow exactly the same structure as the materials variances, with rate playing the role of price and efficiency the role of usage. The labour total variance is the standard labour cost of the actual output minus the actual labour cost - how much more or less labour cost than it should have for the units produced. It splits into the rate variance (the effect of paying a different wage rate from standard) and the efficiency variance (the effect of taking a different number of hours from standard), which add back to the total. Recognising the parallel with materials makes the labour variances straightforward to learn.

The labour rate variance is the difference between the standard wage rate and the actual rate, multiplied by the actual hours worked: (standard rate - actual rate) x actual hours. A favourable rate variance means labour was paid less per hour than standard - perhaps using less-skilled, cheaper workers; an adverse rate variance means it was paid more - overtime premiums, a pay rise, or using more-skilled workers. It is valued on the actual hours so that it isolates the pure rate effect, and responsibility usually lies with the human-resources or production management who set pay and staffing.

The labour efficiency variance is the difference between the standard hours for the actual output and the actual hours taken, multiplied by the standard rate: (standard hours for actual output - actual hours) x standard rate. A favourable efficiency variance means the work took fewer hours than standard - a skilled, well-motivated workforce, good machinery; an adverse efficiency variance means it took more - poor training, low morale, machine breakdowns, or poor-quality materials that were slow to work. It is valued at the standard rate to isolate the pure time effect, and responsibility usually lies with production management. As with materials, the rate and efficiency variances can be linked - cheaper, less-skilled workers (favourable rate) may work more slowly (adverse efficiency).

A worked example completes the picture. Standard: 0.5 hours per unit at £12 per hour (a £6 standard labour cost per unit); actual production 1,000 units taking 520 hours costing £6,032. The total variance is (1,000 x £6) - £6,032 = £32 adverse. The actual rate is £6,032 / 520 = £11.60 per hour, so the rate variance is (£12 - £11.60) x 520 = £208 favourable. The standard hours for 1,000 units are 500, so the efficiency variance is (500 - 520) x £12 = £240 adverse. The check: £208 favourable plus £240 adverse equals £32 adverse - the total. Here the firm paid a lower rate (favourable) but the workers took longer (adverse), a classic sign of using cheaper but less efficient labour.

\text{Labour rate variance} = (\text{Standard rate} - \text{Actual rate}) \times \text{Actual hours}

Rate variance

The effect of a different wage rate. Valued on actual hours. Here (12 - 11.60) x 520 = 208 F.

\text{Labour efficiency variance} = (\text{Standard hours for actual output} - \text{Actual hours}) \times \text{Standard rate}

Efficiency variance

The effect of taking more or fewer hours. Valued at standard rate. Here (500 - 520) x 12 = 240 A.

Worked example

Calculating labour variances

The standard labour cost is 0.5 hours per unit at £12 per hour. Actual production was 1,000 units, taking 520 hours at a total cost of £6,032. Calculate the total, rate and efficiency variances.

Total variance
Standard labour cost of actual output = 1,000 x 0.5 x £12 = £6,000. Actual cost = £6,032. Total variance = £6,000 - £6,032 = £32 adverse.
Rate variance
Actual rate = £6,032 / 520 = £11.60/hour. Rate variance = (£12 - £11.60) x 520 = £0.40 x 520 = £208 favourable.
Efficiency variance and check
Standard hours for 1,000 units = 500; actual 520. Efficiency variance = (500 - 520) x £12 = -20 x £12 = £240 adverse. Check: £208 F + £240 A = £32 A = the total.

Result: Total £32 adverse, rate £208 favourable, efficiency £240 adverse - the workforce was paid a lower rate but took longer than standard, so the rate saving was outweighed by the loss of efficiency.

Typical mistakes

Valuing the efficiency variance at the actual rate rather than the standard rate.
Using the standard hours for the budgeted output instead of for the actual output.

Active revision

Standard: 0.5 hours per unit at £12/hour. Actual: 1,000 units made in 520 hours costing £6,032. Calculate the labour total, rate and efficiency variances and confirm they reconcile.

Active recall

Recall the key points — then reveal.

Sources: AQA A-level Accounting 7127 specification (AQA)

Reconciliation and interpretation of variances#

AdvancedAQA 7127 3.11

Reconciliation of standard to actual cost

Fig. 4From the standard cost of £16,000, the favourable variances (£420 + £208) reduce and the adverse variances (£500 + £240) increase the cost to the actual £16,112 - a £112 adverse total.

The individual variances are drawn together in a reconciliation statement that starts from the standard cost of the actual output and adjusts for each variance to arrive at the actual cost - or, presented the other way, reconciles the standard profit to the actual profit. Favourable variances reduce the cost (or add to profit) and adverse variances increase it (or reduce profit), and when every variance is included the statement must reconcile exactly to the actual figure. This reconciliation is both a check on the arithmetic and a concise management report, showing at a glance how each cause contributed to the overall difference between plan and outcome.

Combining the worked materials and labour figures illustrates the reconciliation. The standard cost of the actual output is materials £10,000 plus labour £6,000 = £16,000. The variances are: materials price £420 favourable, materials usage £500 adverse, labour rate £208 favourable and labour efficiency £240 adverse. Starting from £16,000, subtracting the favourable variances (£420 + £208) and adding the adverse ones (£500 + £240) gives £16,000 - £628 + £740 = £16,112, which is exactly the actual cost (£10,080 + £6,032). The total variance is £112 adverse, and the reconciliation shows precisely how the two favourable and two adverse variances produced it.

Interpreting variances - not merely calculating them - is what earns the higher marks, and it means asking why each arose and how they connect. An adverse usage variance might reflect waste, spoilage, poor-quality material, or an over-tight standard; a favourable price variance might reflect skilful buying or a fall in market prices, or the purchase of cheaper, lower-quality material. Crucially, variances interrelate: buying cheaper material (favourable price) can cause more waste (adverse usage), and employing cheaper labour (favourable rate) can cause slower work (adverse efficiency). So a favourable variance is not automatically good news, and the management task is to understand the trade-offs rather than to praise every favourable and condemn every adverse figure.

Variance analysis is a powerful control tool, but it has limitations that support evaluation. It is only as good as the standards behind it: out-of-date or unrealistic standards produce misleading variances that waste managers' time or point them the wrong way. It is backward-looking, explaining what has already happened rather than preventing it. It can encourage a blame culture if variances are used to punish rather than to investigate, and it may lead managers to make short-term decisions (buying cheaper, lower-quality inputs) that produce favourable variances now but harm the business later. Used well - with realistic standards, an investigation of significant variances by exception, and attention to the interrelationships and causes - it is an excellent aid to control; used mechanically, it can mislead. That balanced judgement is the goal of interpretation.

\text{Actual cost} = \text{Standard cost of actual output} - \text{Favourable variances} + \text{Adverse variances}

The reconciliation

Favourable variances reduce cost, adverse ones increase it. Here 16,000 - 628 + 740 = 16,112.

Worked example

Reconciling and interpreting variances

The standard cost of the actual output is £16,000. The variances are: materials price £420 F, materials usage £500 A, labour rate £208 F, labour efficiency £240 A. Reconcile to the actual cost and interpret the picture.

Total the favourable and adverse variances
Favourable = £420 + £208 = £628 (reduce cost). Adverse = £500 + £240 = £740 (increase cost).
Reconcile
Actual cost = £16,000 - £628 + £740 = £16,112. The total variance is £112 adverse (£740 adverse less £628 favourable).
Interpret
The favourable price and rate variances came from cheaper material and cheaper labour, but both were more than offset by adverse usage and efficiency variances - more waste and slower work. This strongly suggests the cheaper inputs caused the inefficiency, so the apparent savings were a false economy that the firm should reconsider.

Result: The reconciliation gives an actual cost of £16,112 (a £112 adverse total): favourable price and rate variances were outweighed by adverse usage and efficiency variances, indicating that cheaper inputs caused offsetting inefficiency - a false economy to investigate.

Typical mistakes

Adding favourable and subtracting adverse variances in the reconciliation (the wrong way round).
Treating every favourable variance as good without considering the trade-offs (cheaper inputs causing waste or slow work).

Active revision

Given materials price £420 F, materials usage £500 A, labour rate £208 F and labour efficiency £240 A on a standard cost of £16,000, prepare the reconciliation to actual cost and interpret the result.

Active recall

Recall the key points — then reveal.

Sources: AQA A-level Accounting 7127 specification (AQA) · Ofqual - GCE AS and A level qualifications (Ofqual)

References & sources

Sources

AQA

AQA A-level Accounting 7127 specification

Ofqual

Ofqual - GCE AS and A level qualifications

Standard costing and variance analysis

4 sections~18 min reading time3 competenciesLevel Standard 1 · Advanced 3

Standard costing and variance analysis

Key points

Understanding favourable and adverse

Key points

Calculating materials variances

Key points

Calculating labour variances

Key points

Reconciling and interpreting variances

Sources

Standard costing and variance analysis

Key points

Understanding favourable and adverse

Key points

Calculating materials variances

Key points

Calculating labour variances

Key points

Reconciling and interpreting variances

Sources