Worked Analysis Examples

If Costs Rise 10%, Must Prices Also Rise 10% to Maintain Margins?

Passing higher costs through to customers requires different prices to preserve profit per unit and the profit margin. Unit-level calculations distinguish raw-material weights and changes in sales volume.

Adding the same amount as the cost increase to the selling price maintains profit per unit, but can reduce the margin percentage. To preserve the margin, divide the new unit cost by the target cost-to-sales ratio, assuming sales volume and other costs stay unchanged.

Distinguish the profit amount from the percentage of revenue

Selling price per unit less cost per unit gives unit gross profit; dividing that by the selling price gives the gross margin. The prices needed to maintain these two measures generally differ. A markup on cost also differs from a profit margin on revenue. Adding a 25% markup to a cost of KRW 80 gives a price of KRW 100 and a margin of 20%. When a company says it passed through cost increases, check separately whether it recovered only the additional cost amount or also maintained its previous margin percentage.

Do not apply one raw material’s inflation rate to all costs

Cost of sales can include labor, depreciation, logistics, and other items as well as raw materials. A 10% increase in one raw material does not mean total costs rise 10%. Check the quantity used, its share of costs, inventory purchase timing, and long-term contract prices. Under IAS 2’s framework of inventory costing and expense recognition on sale, changes in spot raw-material prices may not appear fully and immediately in current cost of sales. Calculate the lag between cost increases and selling-price adjustments separately by quarter.

Include volume declines to assess total profit

Even if profit per unit is preserved, total profit can decline if volumes fall after a price increase. A company with high fixed costs also faces a higher cost burden per unit as volumes decline. Do not conclude that margins have improved from the price increase alone; check subsequent orders, discounts, and product-mix changes. Also distinguish the unit contribution margin used in break-even analysis from the gross profit used here. Specify the scope of costs in the calculation so fixed costs already included in accounting costs are not subtracted again separately.

Worked example

Hypothetical example: A selling price of KRW 100 and unit cost of KRW 80 give profit of KRW 20 and a 20% margin. If cost rises 10% to KRW 88 and the price is set at KRW 108, profit remains KRW 20 but the margin falls to about 18.52%. Maintaining the original 20% margin requires a price of KRW 88 ÷ 0.8 = KRW 110. If sales volume at this price falls from 100 units to 90, total profit declines from KRW 2,000 to KRW 1,980. Profit per unit rises to KRW 22, but lower volume more than offsets the increase. SG&A expenses and taxes are excluded.

What to check

  • Decide whether the objective is to maintain the profit amount or the margin percentage.
  • Distinguish inflation in a specific raw material from inflation in total costs.
  • Check the lag between inventory cost recognition and price increases.
  • Recalculate sales volume and the fixed-cost burden after the price adjustment.

Sources and primary materials

This is educational material about research methods. For an actual company decision, verify the filings and primary sources for the relevant period.

  1. IFRS Foundation — IAS 2 Inventories ↗
  2. U.S. Small Business Administration — Break-even point ↗