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Standard Costing and Variance Analysis

How standard costs are used as a yardstick, and how material, labour and overhead variances show where actual cost departed from it.

5 conceptsAbout 18 min
Start with the first concept
Part one

The concepts

Concept 1 of 5.

Standard costing and variances

A yardstick for cost, and the gaps that show where to look.

Before you read

A plant spent ₹6,04,850 against a standard cost of ₹5,58,000 for the output it made. Is knowing the ₹46,850 gap enough?

Core idea

Standard costing compares predetermined costs with actual costs. Variance = Standard − Actual; favourable if actual is less, adverse if more. Each total variance is the sum of its parts.

The standard cost of the 900 utensils Salem Steel Utensils made was ₹5,58,000. It actually spent ₹6,04,850. That is ₹46,850 over. A manager needs to know where the money went, not only that it went.

In plain wordsStandard costing sets what a unit should cost under good working conditions, then compares it with what it did cost. Each gap is a variance, and each variance points to a cause to look into.

Exam definitionStandard costing is a control technique that compares predetermined (standard) costs with actual costs to identify variances, analyse their causes and take corrective action. Variance = Standard cost − Actual cost; favourable (F) when standard exceeds actual, adverse (A) when standard is less than actual.

ElementQuantityRateStandard cost
Material4 kg₹50₹200
Labour3 hours₹80₹240
Variable overhead3 hours₹20₹60
Fixed overhead3 hours₹40 (₹1,20,000 ÷ 3,000 hours)₹120
Standard cost₹620

The steps. Set the standard, measure the actual cost, compare the two, identify the variances and their causes, and report and act on them.

Total cost varianceMaterialPriceUsage (mix, yield)LabourRateEfficiencyIdle timeOverheadVariable: expenditure,efficiencyFixed: expenditure,volume
Each total is the sum of its parts. Splitting the total shows who or what to follow up.

The sign. This chapter follows the usual rule: a variance is favourable when the actual cost is less than the standard, and adverse when it is more. In the tables that follow, F means a gain and A a loss.

MCV = MPV + MUV | LCV = LRV + LEV + LITV | VOCV = VOEV + VOEEV | FOCV = FOEV + FOVV

Don’t compare actual cost with the budget for a different output. Salem’s standards are set for one utensil. The standard cost of the 900 actually made is the yardstick, not the cost of the 1,000 budgeted. Comparing with the budgeted output mixes a volume effect into every variance.

Where it breaks. Standards are estimates, and can be set too loose (easy to beat) or too tight (always missed). If prices are rising fast, the standards go out of date. A variance is a question, not a verdict: an adverse usage variance may come from poor material, not poor work.

For exams. Know the order of the steps, the sign convention, and the four total-variance identities.

Set, measure, compare, find the cause, act.

Go deeper for practitioners

Who owns a variance? A price variance on material is usually the buyer’s, a usage variance the production manager’s, a rate variance the HR or union agreement, and an efficiency variance the supervisor’s. Assigning each to an owner is what makes the system a control, not just a calculation.

A decision. A purchasing manager buys cheaper steel and the material price variance is favourable. The production manager complains of an adverse usage variance. How would you decide whether the saving was real?

Check yourself

1. The standard cost of the actual output is ₹5,58,000 and the actual cost is ₹6,04,850. The total variance is…

Not quite. The answer is “₹46,850 adverse”. Standard is less than actual, so the variance is adverse by ₹6,04,850 − ₹5,58,000 = ₹46,850.

2. Which is the correct order of steps in standard costing?

Not quite. The answer is “Set the standard, measure actual, compare, find the causes, act”. A standard must exist before actual cost can be compared with it, and action follows analysis.

3. Standard cost is the yardstick for…

Not quite. The answer is “The output actually made”. Comparing with a budget for a different output mixes a volume effect into every variance.

Reflect & discuss

“Think of a household budget for groceries. Which gap would be a price variance and which a usage variance?”

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One-page summary
Standard costing and variances
  • Standard cost: predetermined cost under good conditions.
  • Variance = Standard cost − Actual cost; F if actual is lower, A if higher.
  • MCV = MPV + MUV; LCV = LRV + LEV + LITV; VOCV = VOEV + VOEEV; FOCV = FOEV + FOVV.
  • A variance is a question to investigate, not a verdict.
Remember

Set, measure, compare, find the cause, act.

Concept 2 of 5.

Standards, and the case for standard costing

What a standard is, the kinds there are, and where it suits.

Before you read

A cement plant’s monthly cost varies a little. Without a standard, can you say whether that is bad luck or poor control?

Core idea

A standard cost is a predetermined cost for a set of working conditions: what it should be, unlike an estimate, which is what it will be. Standards can be ideal, basic, current, expected or normal, and suit repetitive, standard products.

A cement plant makes the same product all year. If each month’s cost differs a little, is that bad luck or poor control? Only a yardstick set in advance can tell.

In plain wordsA standard cost is what a unit ought to cost under stated working conditions. It differs from an estimate, which is a guess at what it will cost.

Exam definitionStandard cost is a predetermined cost based on a technical estimate for materials, labour and overhead for a selected period and a prescribed set of working conditions. Standard costing is the preparation and use of standard costs, their comparison with actual costs, and the analysis of variances to their causes and points of incidence.

Standard costEstimated cost
What the cost should beWhat the cost will be
Set by technical experts, allowing for efficiencyBased on past data, adjusted for trends
Measures efficiencyCannot measure efficiency
A tool of cost controlDoes not serve cost control
Part of the accounting processStatistical; may stay outside the accounts
Used where standard costing is in operationCan be used in any historical cost system
StandardWhat it assumesUse
IdealThe best conditions: no waste, no power cuts, no idle timeA target; rarely reached
BasicFixed in a base year and never changedLittle use in practice
CurrentPresent conditions, set for a short periodWidely used for control
ExpectedWhat is expected to be reached in the period aheadRelevant for business planning
NormalAverages of the past, carried forwardNot much relevance

Where it suits. Standard costing works best for firms making standard products again and again, such as cement, steel or sugar. It suits jobbing work poorly, because every job is different and a standard for each would cost too much to set.

Advantages. It gives management a way to judge performance. It helps in fixing standards and in production planning and pricing. It is a measuring rod for variances, and it helps remove inefficiency through corrective action.

Management by exception. A variance flags a result that is not as planned, whether better or worse. Management can spend its time on the large or repeated variances and leave results that follow the standard alone.

Don’t treat an ideal standard as a fair test. An ideal standard assumes no waste and no breakdowns. Workers can never reach it, so adverse variances will always appear and may be ignored. A current or expected standard, set at attainable levels, is more useful for control.

Where it breaks. Standards go out of date when prices or methods change, and then every variance is noise. They can also be too loose, which lets inefficiency pass. Setting and reviewing them costs time and money.

For exams. Know the definition, the difference from estimated cost, the five kinds of standard, the suitability and the advantages.

Standard: should be. Estimate: will be.

Go deeper for practitioners

Who sets the standard. Good standards come from engineers (quantities and times), purchasing (prices), and HR (wage rates), agreed with the managers who will be judged on them. Standards imposed from above tend to be resented and ignored.

A decision. A firm making tailor-made machines asks whether to adopt standard costing. What would you advise, and what part of the firm might still use standards?

Check yourself

1. Which describes a ‘current’ standard?

Not quite. The answer is “Set for a short period and reflecting present conditions”. Current standards are widely used for control. Ideal assumes no waste, basic is never revised, and normal averages the past.

2. Standard costing suits which firm best?

Not quite. The answer is “A cement plant making the same product all year”. Repetitive, standardised products allow stable standards. Jobbing work makes a standard for each job too costly.

3. Management by exception means…

Not quite. The answer is “Attention goes to the variances that are large or repeated”. The variance flags results that depart from the standard, so effort goes where it is most needed.

Reflect & discuss

“If standards were set from above without asking the managers judged on them, what would you expect to happen?”

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One-page summary
Standards, and the case for standard costing
  • Standard cost: predetermined cost based on a technical estimate for stated conditions.
  • Standard says what cost should be; estimate says what it will be.
  • Kinds: ideal, basic, current, expected, normal.
  • Best for repetitive products; poor for jobbing work.
Remember

Standard: should be. Estimate: will be.

Concept 3 of 5.

Material and labour variances

Price against usage, rate against efficiency and idle time.

Before you read

A firm paid ₹52 a kg for steel instead of ₹50 and used 3,800 kg where 3,600 was the standard. Is that one variance or two?

Core idea

Material: price variance = AQ × (SP − AP); usage variance = SP × (SQ − AQ). Labour: rate = AH × (SR − AR); efficiency = SR × (SH − AH worked); idle time = idle hours × SR. Idle time is always adverse.

Salem used 3,800 kg of steel to make 900 utensils, against a standard of 3,600 kg, and paid ₹52 a kg instead of ₹50. Two causes, two variances, and each belongs to a different person.

In plain wordsA material or labour variance splits the extra cost into a price (or rate) part and a quantity (or time) part, so you can tell whether the firm paid too much or used too much.

Exam definitionMaterial cost variance = (SQ × SP) − (AQ × AP), made up of the price variance AQ × (SP − AP) and the usage variance SP × (SQ − AQ). Labour cost variance = (SH × SR) − (AH × AR), made up of the rate, efficiency and idle-time variances.

VarianceFormulaWorkingResult
Cost (MCV)(SQ × SP) − (AQ × AP)₹1,80,000 − ₹1,97,600₹17,600 A
Price (MPV)AQ × (SP − AP)3,800 × (₹50 − ₹52)₹7,600 A
Usage (MUV)SP × (SQ − AQ)₹50 × (3,600 − 3,800)₹10,000 A

SQ is the standard quantity for the actual output (900 × 4 kg = 3,600 kg). Price and usage add up to the cost variance.

Labour. Salem paid for 2,800 hours at ₹82, but 150 of them were idle (a power cut), so 2,650 hours were worked. The standard hours for 900 utensils are 2,700. Here AH in the cost and rate formulas means hours paid.

VarianceFormulaWorkingResult
Cost (LCV)(SH × SR) − (AH × AR)₹2,16,000 − ₹2,29,600₹13,600 A
Rate (LRV)AH × (SR − AR)2,800 × (₹80 − ₹82)₹5,600 A
Efficiency (LEV)SR × (SH − AH worked)₹80 × (2,700 − 2,650)₹4,000 F
Idle time (LITV)Idle hours × SR150 × ₹80₹12,000 A

Salem was ₹5,600 over on wage rate and ₹12,000 over on idle time, and gained ₹4,000 by working 50 hours faster than standard.

Mix and yield. When several materials are used, the usage variance splits further. A standard 100 kg input of A (60 kg at ₹10) and B (40 kg at ₹20) yields 80 kg. A batch used 700 kg of A and 300 kg of B and made 780 kg. Material usage variance is ₹650 F. The mix variance, SP × (RSQ − AQ), is ₹1,000 F, because the batch used more of the cheaper material. The yield variance is ₹350 A, as the output was 20 kg short of the 800 kg that 1,000 kg should give, at ₹17.50 a kg of output.

A second case to practise. Standard output was 800 units but 1,000 were made. Standard material was 1 kg a unit at ₹4, and 1,200 kg were used at ₹5. Cost variance = (1,000 × ₹4) − (1,200 × ₹5) = ₹2,000 A; price variance = 1,200 × (₹4 − ₹5) = ₹1,200 A; usage variance = ₹4 × (1,000 − 1,200) = ₹800 A. For labour, a standard rate of ₹3 an hour and 2 hours a unit, 160 units made, 300 hours worked at ₹3.5: standard hours are 320. Cost variance = ₹960 − ₹1,050 = ₹90 A; rate = 300 × (₹3 − ₹3.5) = ₹150 A; efficiency = ₹3 × (320 − 300) = ₹60 F.

Don’t treat idle time as efficiency. Idle time is paid time with no work, and is always adverse. The efficiency variance concerns the hours that were worked. Mixing the two hides a power cut inside a supervisor’s results.

Where it breaks. A favourable mix variance can come from using poorer material, which later shows as low yield. Read mix and yield together. A usage variance may also flow from poor purchases, so check the cause before blaming a person.

For exams. Write the formula first, then substitute. State SQ and SH as for actual output, and the sign convention.

Price for what you pay, usage for what you use; rate for the wage, efficiency for the hours.

Go deeper for practitioners

Why mix and yield add up to usage. Mix compares the actual input with the same total input in standard proportion. Yield compares the output the total input should give with the output actually obtained. Together, they account for all of the usage gap, which is why they total ₹650 favourable.

A decision. A dairy blends milk of two fat grades. The mix variance is favourable and the yield variance adverse. What may have happened in the plant, and what would you check?

Check yourself

1. Standard price ₹50, actual price ₹52, actual quantity 3,800 kg. The material price variance is…

Not quite. The answer is “₹7,600 adverse”. 3,800 × (₹50 − ₹52) = −₹7,600. Paying more than the standard is adverse.

2. Standard quantity for the output is 3,600 kg, actual is 3,800 kg and standard price is ₹50. The usage variance is…

Not quite. The answer is “₹10,000 adverse”. ₹50 × (3,600 − 3,800) = −₹10,000. More material was used than the standard allows.

3. 150 hours were paid for but idle during a power cut, at a standard rate of ₹80. The idle time variance is…

Not quite. The answer is “₹12,000 adverse”. 150 × ₹80 = ₹12,000. Idle time is paid time with no output, so it is always adverse.

4. Standard rate ₹3 an hour, actual rate ₹3.50, and 300 hours worked. The labour rate variance is…

Not quite. The answer is “₹150 adverse”. 300 × (₹3 − ₹3.50) = −₹150. Paying more than the standard rate is adverse.

Reflect & discuss

“Who would you ask about a price variance, and who about a usage variance? Why must they not be the same question?”

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One-page summary
Material and labour variances
  • MPV = AQ × (SP − AP); MUV = SP × (SQ − AQ); MCV is their sum.
  • LRV = AH × (SR − AR); LEV = SR × (SH − AH worked); LITV = idle hours × SR.
  • SQ and SH are the standards for the actual output.
  • Mix and yield together make up the usage variance when several materials are used.
Remember

Price for what you pay, usage for what you use.

Concept 4 of 5.

Overhead variances

Expenditure, efficiency and volume.

Before you read

Fixed overhead was ₹1,22,000 against ₹1,20,000 budgeted, and the plant made fewer units than planned. Is all the shortfall overspending?

Core idea

Variable overhead splits into expenditure and efficiency. Fixed overhead splits into expenditure (budgeted − actual) and volume (standard − budgeted). The standard is for the actual output.

Material and labour have a clear quantity and price. Overhead does not: factory rent and power are spread over many units. Variances show whether the firm spent more than it planned, or used the factory less than planned.

In plain wordsOverhead variances separate the extra spent from the extra or missed use of capacity. Variable overhead splits into expenditure and efficiency. Fixed overhead splits into expenditure and volume.

Exam definitionVariable overhead cost variance = (SH × SR) − (AH × AR), made up of expenditure and efficiency. Fixed overhead cost variance = Standard fixed overhead − Actual fixed overhead, made up of expenditure (Budgeted − Actual) and volume (Standard − Budgeted).

VarianceFormulaWorkingResult
Cost (VOCV)(SH × SR) − (AH × AR)₹54,000 − ₹55,650₹1,650 A
Expenditure (VOEV)AH × (SR − AR)2,650 × (₹20 − ₹21)₹2,650 A
Efficiency (VOEEV)SR × (SH − AH)₹20 × (2,700 − 2,650)₹1,000 F
VarianceFormulaWorkingResult
Cost (FOCV)Standard fixed OH − Actual fixed OH₹1,08,000 − ₹1,22,000₹14,000 A
Expenditure (FOEV)Budgeted fixed OH − Actual fixed OH₹1,20,000 − ₹1,22,000₹2,000 A
Volume (FOVV)Standard fixed OH − Budgeted fixed OH₹1,08,000 − ₹1,20,000₹12,000 A

Standard fixed overhead is the absorbed amount for the actual output: 2,700 hours × ₹40 = ₹1,08,000. Salem budgeted for 3,000 hours and worked fewer, so ₹12,000 of fixed overhead was not recovered by the output. That is the volume variance.

PartVariance
Material cost₹17,600 A
Labour cost₹13,600 A
Variable overhead₹1,650 A
Fixed overhead₹14,000 A
Total cost variance₹46,850 A (₹5,58,000 standard against ₹6,04,850 actual)

The overhead cost variance. The two parts together give the total overhead variance, recovered overhead less actual overhead. For Salem it is (₹54,000 + ₹1,08,000) − (₹55,650 + ₹1,22,000) = ₹15,650 A, which is ₹1,650 A for variable and ₹14,000 A for fixed. Typical causes: bills paid in advance or late, a breakdown that needed repairs, spoilage, overtime, or the same fixed spending spread over a different output.

Don’t call the volume variance a spending error. Salem did not overspend on fixed overhead by ₹12,000. The factory made fewer than budgeted, so the fixed cost was spread over fewer units. The cause is the sales or production plan, not the accounts payable desk.

Where it breaks. Fixed overhead is not controllable at the shop-floor level in the short run, so a volume variance mostly tests the plan. Variable overhead variances assume overhead follows hours, which is not true for all firms; activity-based costing uses other drivers.

For exams. Remember the pairs: expenditure and efficiency for variable; expenditure and volume for fixed. Learn each formula and say which part of the plant it tests.

Variable: spend and speed. Fixed: spend and volume.

Go deeper for practitioners

Using the total. Salem’s ₹46,850 shortfall is made up of ₹17,600 on steel, ₹13,600 on labour, ₹1,650 on variable overhead and ₹14,000 on fixed overhead. ₹34,000 of it (steel usage, idle time and the volume gap) comes from how the plant was run, not from prices. That is the kind of conclusion a variance report is meant to support.

A decision. A textile unit shows a large adverse fixed overhead volume variance for six months running. Is it a problem to fix, a standard to reset, or a plan to change?

Check yourself

1. Budgeted fixed overhead is ₹1,20,000 and actual is ₹1,22,000. The fixed overhead expenditure variance is…

Not quite. The answer is “₹2,000 adverse”. ₹1,20,000 − ₹1,22,000 = −₹2,000. The firm spent more than budgeted.

2. Standard fixed overhead for the actual output is ₹1,08,000 and the budget is ₹1,20,000. The volume variance is…

Not quite. The answer is “₹12,000 adverse”. Standard − Budgeted = ₹1,08,000 − ₹1,20,000 = −₹12,000. Less was made than budgeted, so fixed cost was under-recovered.

3. Fixed overhead expenditure −₹2,000 and volume −₹12,000. The fixed overhead cost variance is…

Not quite. The answer is “₹14,000 adverse”. FOCV = FOEV + FOVV = −₹2,000 − ₹12,000 = −₹14,000.

4. Variable overhead variance is ₹1,650 adverse and fixed overhead variance ₹14,000 adverse. The overhead cost variance is…

Not quite. The answer is “₹15,650 adverse”. The overhead cost variance is recovered less actual overhead, the sum of the variable and fixed parts: −₹1,650 − ₹14,000 = −₹15,650.

Reflect & discuss

“A plant makes half its planned output because demand fell. Is the large volume variance the factory manager’s fault?”

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One-page summary
Overhead variances
  • VOEV = AH × (SR − AR); VOEEV = SR × (SH − AH).
  • FOEV = Budgeted − Actual; FOVV = Standard − Budgeted; FOCV = Standard − Actual.
  • Standard fixed overhead = standard hours for actual output × standard rate.
  • A volume variance tests the plan more than the spending.
Remember

Variable: spend and speed. Fixed: spend and volume.

Concept 5 of 5.

Sales variances

Splitting a revenue gap into price and volume.

Before you read

A firm budgeted 1,000 units at ₹50 and sold 900 at ₹52. Revenue is ₹3,200 short. Was it price or volume?

Core idea

Sales price variance = actual quantity × (actual price − standard price). Sales volume variance = standard price × (actual quantity − budgeted quantity). Together they make the sales value variance. For sales, above budget is favourable.

Salem budgeted to sell 1,000 utensils at ₹50. It sold 900 at ₹52. Revenue fell short by ₹3,200. Was it the price or the volume?

In plain wordsA sales variance compares actual sales with the budget and splits the gap into a price effect and a volume effect.

Exam definitionSales value variance is the difference between actual and budgeted sales. It is made up of the sales price variance, actual quantity × (Actual price − Standard price), and the sales volume variance, Standard price × (Actual quantity − Budgeted quantity). Favourable when actual sales exceed budget.

VarianceFormulaWorkingResult
ValueActual sales − Budgeted sales₹46,800 − ₹50,000₹3,200 A
PriceActual quantity × (Actual price − Standard price)900 × (₹52 − ₹50)₹1,800 F
VolumeStandard price × (Actual quantity − Budgeted quantity)₹50 × (900 − 1,000)₹5,000 A

Salem got ₹1,800 more from a higher price and lost ₹5,000 by selling 100 fewer. The volume loss is bigger, so the net is an adverse ₹3,200. Raising the price may well be what cut the volume.

On a profit basis. Volume is sometimes valued at the standard margin, not the price. With a standard profit of ₹20 a utensil, 100 fewer sold cost ₹2,000 of profit.

Mind the sign when you copy the cost formulas. For costs, a variance is favourable when actual is below standard, so the formula is standard minus actual. For sales it is the opposite: actual above budget is favourable, so it is actual minus standard. Some notes print the cost-style signs for sales, and that makes a lower price look favourable.

Where it breaks. The price and volume effects are linked. A higher price often lowers the volume, so each variance alone can mislead. Market conditions, not the sales team, may be the cause. For several products, a mix variance also arises.

For exams. Show the three variances and check that price plus volume equals value. State the sign rule.

Sales: actual minus standard, so above is favourable.

Go deeper for practitioners

Using the variances. A favourable price variance with an adverse volume variance suggests the firm is pricing high and losing share. The opposite points to discounting to win volume. Neither is right or wrong by itself. It depends on the margin and the capacity.

A decision. A firm raises prices by 4%, and the sales volume falls 12%. Using the contribution per unit, how would you tell whether the price rise paid?

Check yourself

1. Actual sales are 900 units at ₹52 and the standard price is ₹50. The sales price variance is…

Not quite. The answer is “₹1,800 favourable”. 900 × (₹52 − ₹50) = +₹1,800. A higher price than standard is favourable for sales.

2. Budgeted quantity is 1,000, actual is 900 and the standard price is ₹50. The sales volume variance is…

Not quite. The answer is “₹5,000 adverse”. ₹50 × (900 − 1,000) = −₹5,000. Fewer units were sold than budgeted.

3. Sales price +₹1,800 and volume −₹5,000. The sales value variance is…

Not quite. The answer is “₹3,200 adverse”. +₹1,800 − ₹5,000 = −₹3,200, which agrees with actual ₹46,800 less budget ₹50,000.

Reflect & discuss

“A firm raises its price and sells fewer units. How would you tell whether the price rise paid?”

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One-page summary
Sales variances
  • Sales value variance = Actual sales − Budgeted sales.
  • Price variance = Actual quantity × (Actual price − Standard price).
  • Volume variance = Standard price × (Actual quantity − Budgeted quantity).
  • Sign rule for sales: actual above standard is favourable, the opposite of costs.
Remember

Sales: actual minus standard, so above is favourable.

Test yourself

All 17 questions from this chapter, in a new order.

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How this chapter connects

Worked out from the glossary terms each chapter uses. A chapter is listed when two or more terms are shared.

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