Management Accounting · Reconciliation of budgeted and actual profit

Material Price and Usage Variances: Formulas and How to Calculate Them

Updated 11 October 2026 · Fact-checked

Material price variance compares what you actually paid for the materials bought with what they should have cost at standard price. Material usage variance values the difference between standard and actual quantity used, at standard price. A positive result is favourable (F); a negative result is adverse (A). Always check the quantity basis first.

Understand Material Price and Usage Variances

A standard cost card sets the expected price per unit of material and the expected quantity per unit of output. Actual results rarely match. Variances split the total material cost difference into two causes: you paid a different price, or you used a different quantity.

The material price variance measures the price effect. It asks: for the quantity we actually bought, how much more or less did we pay than standard? The material usage variance measures the quantity effect. It asks: for the actual output, how much more or less material did we use than the standard allows? The usage difference is valued at the standard price, so price changes do not distort it.

Splitting the two matters because different managers control them. The purchasing manager is usually responsible for price. The production manager is usually responsible for usage. Each variance is then judged on what that person can influence.

The two variances can be linked. Buying cheaper, poorer-quality material may give a favourable price variance but an adverse usage variance through more waste. Buying better material may do the reverse. Do not judge one variance alone. Together, the two variances add up to the total material cost variance.

In the exam you must always work from the actual output. The standard quantity allowed is the standard usage per unit multiplied by actual units produced, not by budgeted units.

Key formulas to remember

Material price variance: (Standard price × Actual quantity purchased) − Actual cost of that quantity; Positive = favourable, negative = adverse. Equivalent form: (Standard price − Actual price) × Actual quantity. If purchases equal usage, use that quantity. If stock is valued at standard, use the quantity purchased.
Material usage variance: (Standard quantity for actual output − Actual quantity used) × Standard price; Positive = favourable (used less than allowed), negative = adverse.
Standard quantity for actual output: Actual units produced × Standard quantity per unit; Use actual output, not budgeted output.
Total material cost variance: (Standard quantity for actual output × Standard price) − Actual cost; Equals price variance plus usage variance when purchases equal usage.

How to solve Material Price and Usage Variances questions

Use this method for any material price or usage question, whether you must calculate a variance, find a missing figure or explain a cause.

1Read the question and note the standard price, standard quantity per unit, actual output, actual quantity purchased, actual quantity used and actual cost.
2Calculate the standard quantity allowed: actual output × standard quantity per unit.
3Calculate the usage variance: (standard quantity allowed − actual quantity used) × standard price.
4Calculate the price variance: (standard price × actual quantity purchased) − actual cost. Check whether purchases and usage differ.
5Label each answer favourable (F) if positive or adverse (A) if negative.
6Check your work: if purchases equal usage, price plus usage should equal the total material cost variance.
7If asked for causes, link each variance to a sensible reason and say which manager would normally be responsible, noting any link between the two.

Quickest way: Standard-cost grid shortcut

When to use it: Use this in Section A objective questions when you have about 3 minutes and the question gives all quantities and costs.

Write three figures: actual quantity × standard price, actual cost, and standard quantity × standard price.
Price variance is the first figure minus actual cost, using the quantity purchased.
Usage variance is the standard-quantity figure minus the actual quantity figure, using the quantity used.
If the answer is positive, choose F. If negative, choose A. Check the sign against the options given.
Check the sign with common sense: more material used than allowed must be adverse.

Common mistakes in Material Price and Usage Variances

Using budgeted output instead of actual output to find standard quantity.
The budget figures are often given first and look like the standard.
Fix: Always multiply standard usage per unit by actual units produced.
Valuing the usage variance at actual price.
Students think the real cost matters.
Fix: Usage variance is always at standard price. Price effects belong only in the price variance.
Using quantity used instead of quantity purchased for the price variance when they differ.
The two quantities are mixed up under time pressure.
Fix: Price variance uses the quantity purchased when stock is held at standard cost. Underline both quantities in the question.
Getting the sign wrong.
Students subtract in the wrong order.
Fix: Always do standard minus actual. Then ask if the answer makes sense: paying less or using less is favourable.
Explaining an adverse price variance only as poor purchasing.
It is the most obvious cause.
Fix: Also consider general price rises, loss of discounts, urgent orders, a better-quality material or an unrealistic standard.
Treating the two variances as independent when judging performance.
They are calculated separately.
Fix: Ask whether a price saving caused extra waste, or higher quality reduced waste.

Worked examples

Example 1

A company makes product X. The standard is 4 kg of material per unit at $5 per kg. In April, 2,000 units were made. 8,400 kg were bought and used, costing $44,100. Calculate the material price and usage variances.

Show the solution

Standard quantity allowed = 2,000 × 4 kg = 8,000 kg.
Usage variance = (8,000 − 8,400) × $5 = −400 × $5 = $2,000 adverse.
Price variance: standard cost of actual purchases = 8,400 × $5 = $42,000.
Price variance = $42,000 − $44,100 = $2,100 adverse.
Check: total cost variance = (8,000 × $5) − $44,100 = $40,000 − $44,100 = $4,100 adverse. Price $2,100 + usage $2,000 = $4,100.

Answer: Material price variance $2,100 adverse; material usage variance $2,000 adverse.

Example 2

A product has a standard of 3 litres of liquid at $8 per litre. In May, 1,500 units were made. 4,800 litres were purchased at a total cost of $36,000, and 4,600 litres were used. Stock is valued at standard cost. Calculate both variances and suggest one possible link between them.

Show the solution

Standard quantity allowed = 1,500 × 3 = 4,500 litres.
Usage variance = (4,500 − 4,600) × $8 = −100 × $8 = $800 adverse.
Price variance uses the quantity purchased: 4,800 × $8 = $38,400.
Price variance = $38,400 − $36,000 = $2,400 favourable.
Link: the favourable price variance may come from cheaper, lower-quality liquid, which could cause more waste and the adverse usage variance. The saving of $2,400 is larger than the extra usage cost of $800, but quality or customer effects should also be checked.

Answer: Material price variance $2,400 favourable; material usage variance $800 adverse. Cheaper material may explain the extra usage.

Exam tips

In objective questions, read whether the figures are for purchased or used quantity before you calculate anything.
Expect wrong options built from classic errors, such as budgeted output, actual price in the usage variance or a reversed sign. Work out your own answer first, then match it.
For multiple response questions on causes, choose only reasons that fit the direction (adverse or favourable) and the manager responsible.
In number entry questions, check whether the question asks for the amount only or also the F/A label, and enter the figure in the format required.

Practice questions from Reconciliation of budgeted and actual profit

Material Price and Usage Variances in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Material Price and Usage Variances: frequently asked questions

What is the formula for material price variance?

It is (standard price × actual quantity purchased) − actual cost. A positive answer is favourable and a negative answer is adverse. Equivalently, it is (standard price − actual price) × actual quantity.

How do you calculate material usage variance?

Find the standard quantity for actual output, subtract the actual quantity used, and multiply by the standard price. A positive result is favourable. A negative result is adverse.

What are possible causes of an adverse material price variance?

Causes include a general market price rise, loss of bulk discounts, rush orders at higher cost, buying higher-quality material than the standard assumed, or an out-of-date standard. Some of these are outside the purchasing manager's control.

Why can price and usage variances be related?

Material quality links them. Cheaper material can give a favourable price variance but more waste and an adverse usage variance. Better material can do the opposite, so you should review both together.