Price and Volume Variance: Reconcile Revenue

Revenue can change because prices change, quantities change, or the mix of products changes. For a single product, a price-volume bridge separates the first two effects. The bridge needs an explicit convention for the interaction between price and quantity changes; otherwise two valid calculations may appear to disagree about which factor deserves credit.

Use a bridge that reconciles exactly

Suppose the budget is 1,000 units at $30, producing $30,000 of revenue. Actual results are 900 units at $32, producing $28,800. Total revenue variance is −$1,200. One convention values the volume change at the budget price and the price change at actual volume.

The two effects sum to −$1,200, exactly matching actual less budget revenue. Volume fell 10% relative to the budgeted 1,000 units, while price rose 6.67% relative to the budgeted $30. Adding those percentages is not the correct revenue-change calculation because the changes interact. Actual revenue fell 4% relative to $30,000.

Explain the interaction rather than hiding it

An alternative convention values the price effect at budget volume: 1,000 × $2 = $2,000. It values the volume effect at actual price: −100 × $32 = −$3,200. These also total −$1,200. The $200 difference in allocation is the interaction of the two changes, not an error. Choose one convention and use it consistently.

This decomposition explains arithmetic, not causation. The lower volume might have been caused partly by the higher price, by stock availability, or by another factor. Labeling one effect favorable does not prove that a pricing decision improved the business overall. Contribution and customer behavior need separate review.

Extend carefully to multiple products

Calculate the bridge by product or a stable unit definition before adding totals. A change in average selling price can result from selling more expensive products, even when no individual price changes. Treating that mix shift as a pure price increase can mislead the decision-maker.

Reconcile returns, credits, discounts, and period cutoffs so budget and actual revenue use the same basis. This page addresses revenue, not profit or cash. A higher actual selling price can coexist with lower contribution if costs rise, and invoiced revenue can arrive in cash later. Keep those follow-on analyses connected without confusing their measures.

Method references: OpenStax: Break-Even Sensitivity Analysis. Accessed October 22, 2026. All dollar figures are hypothetical worked examples.