Standard price is \5per kg; actual was\5.20 for 3\,000\,kg used. Find the material price variance and its label. [2 marks]

SingaporeAccountingSyllabus dot point

How does a flexible budget enable fair control, and how are variances calculated and interpreted?

Prepare a flexible budget and calculate and interpret material, labour and sales variances

A focused answer to the H2 Principles of Accounting outcome on flexible budgeting and variances. Flexing the budget to actual activity, material and labour price and usage variances, sales variances, and reading favourable and adverse results.

Generated by Claude Opus 4.811 min answerUpdated 2026-06-06

Reviewed by: AI editorial process; not yet individually human-reviewed

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What this dot point is asking

SEAB wants you to prepare a flexible budget and to calculate and interpret variances for materials, labour and sales. This is the control half of budgeting: having set a plan, the business compares actual results with it to find where and why performance differed. The central insight is that a fair comparison must first flex the budget to the actual activity level, and that each variance can be split into a price (rate) component and a quantity (usage or volume) component, each pointing to a different cause.

The answer

Why flex the budget

A fixed (original) budget is set for a planned activity level. Comparing it directly with actual results at a different volume is unfair, because differences would mix volume effects with cost-control effects. A flexible budget restates the budget at the actual activity level: variable costs and revenues are recalculated for the actual units, while fixed costs stay constant. Variances are then the difference between the flexed budget and the actual results, isolating control performance from the effect of producing more or fewer units.

Material and labour variances

Each cost variance splits into a price (rate) part and a quantity (usage/efficiency) part:

Variance	Formula
Material price	$(\text{standard price} - \text{actual price}) \times \text{actual quantity}$
Material usage	$(\text{standard quantity for actual output} - \text{actual quantity}) \times \text{standard price}$
Labour rate	$(\text{standard rate} - \text{actual rate}) \times \text{actual hours}$
Labour efficiency	$(\text{standard hours for actual output} - \text{actual hours}) \times \text{standard rate}$

A result is favourable (F) when it improves profit (lower cost or higher revenue than standard) and adverse (A) when it worsens profit.

Sales variances

Sales variances explain why revenue or contribution differed:

Sales price variance $= (\text{actual price} - \text{standard price}) \times \text{actual units}$ .
Sales volume variance $= (\text{actual units} - \text{budgeted units}) \times \text{standard contribution per unit}$ .

The volume variance is usually valued at contribution (under marginal costing), since fixed costs do not change with volume.

Worked example

Standard labour is $4$ hours per unit at $\$ 15 $per hour. Actual output was$ 1,000 $units, using$ 4,200 $hours at a total wage cost of$ \ $61\,740$ . Calculate the labour rate and efficiency variances.

Step 1: Actual rate per hour

\frac{61\,740}{4\,200} = \$14.70 \text{ per hour}

Step 2: Labour rate variance

(\text{standard rate} - \text{actual rate}) \times \text{actual hours} = (15.00 - 14.70) \times 4\,200 = 0.30 \times 4\,200 = \$1\,260 \text{ F}

Favourable, because the firm paid less per hour than standard.

Step 3: Labour efficiency variance

Standard hours for $1\,000$ units $= 1\,000 \times 4 = 4\,000$ hours.

(\text{standard hours} - \text{actual hours}) \times \text{standard rate} = (4\,000 - 4\,200) \times 15 = -200 \times 15 = \$3\,000 \text{ A}

Adverse, because more hours were used than the standard allowed.

Step 4: Net and interpret

Net labour variance $= 3\,000\,\text{A} - 1\,260\,\text{F} = \$ 1,740$ adverse. The cheaper labour (favourable rate) may have been less skilled, taking longer (adverse efficiency), a trade-off worth investigating, just like the material price-quality link.

Examples in context

Example 1. A fair judgement on a busy month. A factory budgeted for $5\,000$ units but actually made $6\,000$ . Its total material cost naturally exceeded the original budget, but this is mostly because it made more units. Flexing the budget to $6\,000$ units shows whether material cost per unit was actually controlled. Only the flexed comparison fairly judges the production manager, separating the extra volume from any real overspend.

Example 2. Diagnosing an adverse result. A company reports an adverse total labour variance and wants to know why. Splitting it shows a favourable rate variance but a large adverse efficiency variance: workers were paid less but took far longer, perhaps due to inexperience or poor materials. The split tells management to look at training and input quality, not at wage rates, which the combined figure alone could not reveal.

Try this

Q1. Standard price is $\$ 5 $per kg; actual was$ \ $5.20$ for $3\,000\,\text{kg}$ used. Find the material price variance and its label. [2 marks]

Cue. $(5.00 - 5.20) \times 3\,000 = -0.20 \times 3\,000 = \$ 600$ adverse (paid more than standard).

Q2. Explain why fixed costs are not flexed when preparing a flexible budget. [2 marks]

Cue. Fixed costs do not change with the activity level within the relevant range, so they stay the same in the flexed budget; only variable items are recalculated for actual volume.

Q3. A favourable sales price variance accompanies an adverse sales volume variance. Suggest a link. [3 marks]

Cue. Raising the selling price (favourable price) may have reduced the quantity demanded (adverse volume), so the higher price per unit was partly offset by selling fewer units; the two should be assessed together.

Exam-style practice questions

Practice questions written in the style of SEAB exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

Original8 marksStandard material cost is

3\,\text{kg}

per unit at

\

per kg. Actual production was

2\,000

units, using

6\,300\,\text{kg}

costing

24\,570

. (a) Calculate the material price variance. (b) Calculate the material usage variance. (c) State whether each is favourable or adverse.

Show worked answer →

Actual price per kg $= \dfrac{24\,570}{6\,300} = \$ 3.90$.

(a) Material price variance $= (\text{standard price} - \text{actual price}) \times \text{actual quantity} = (4.00 - 3.90) \times 6\,300 = 0.10 \times 6\,300 = \$ 630 \text{ favourable}$ (paid less than standard).

(b) Material usage variance $= (\text{standard quantity for actual output} - \text{actual quantity}) \times \text{standard price}$ .

Standard quantity for $2\,000$ units $= 2\,000 \times 3 = 6\,000\,\text{kg}$ .

Usage variance $= (6\,000 - 6\,300) \times 4 = -300 \times 4 = \$ 1,200 \text{ adverse}$ (used more than standard).

(c) Price variance $\$ 630 $favourable; usage variance$ \ $1\,200$ adverse. The net material variance is $1\,200 - 630 = \$ 570$ adverse.

Markers reward the actual price of $\$ 3.90 $, a$ \ $630$ favourable price variance, a $\$ 1,200$ adverse usage variance, and the favourable/adverse labels.

Original6 marksExplain the purpose of flexing a budget before calculating variances, and why a favourable price variance and an adverse usage variance for materials might be linked.

Show worked answer →

Flexing the budget means restating it for the actual level of activity before comparing with actual results. Variable costs and revenues are recalculated at the actual volume, while fixed costs stay the same. Without flexing, a variance would mix up the effect of producing a different volume with the effect of cost control, which is unfair: a manager should be judged against what costs should have been at the actual output, not the originally planned output.

A favourable material price variance with an adverse usage variance may be linked: buying cheaper material (favourable price) could mean lower-quality material that is wasted more in production (adverse usage). So the saving on price is partly or wholly offset by extra waste. Investigating the two together, rather than in isolation, reveals this trade-off.

Markers reward explaining flexing as restating the budget to actual volume to isolate control from volume effects, and the price-quality link between a favourable price and an adverse usage variance.