Calculating Sales Volume Needed to Earn Desired Profit Per Unit

Every business owner eventually asks a version of the same question: “How many units do I need to sell to make the profit I actually want?” Cost-Volume-Profit (CVP) analysis answers this precisely. One specific version of this question focuses on profit per unit rather than a lump-sum target, and it changes the formula just enough to trip up students who have only memorised the standard break-even equation. Let’s break down exactly how to calculate the sales volume required to earn a desired profit per unit, and why this small formula matters a great deal in real pricing and production decisions.

What “desired profit per unit” actually means 🔗

In most CVP problems, the “target profit” is a single rupee figure for the whole business – say, a company wants to earn a total profit of ₹5,00,000 this year. But sometimes a business (or an exam question) frames the target differently: it wants every unit sold to carry a fixed profit margin, expressed per unit, not as a lump sum. For example, a manufacturer might decide that each product must earn ₹40 in profit after covering its variable cost and its share of fixed costs.

This distinction matters because the formula used to calculate the required sales volume changes slightly depending on whether the target is expressed as a total figure or a per-unit figure. Mixing the two up is one of the most common errors students make in CVP analysis problems.

Recapping the break-even point formula 🔗

Before calculating a profit target, it helps to revisit the break-even point (BEP), since the desired-profit formula is simply an extension of it. At break-even, total contribution exactly equals total fixed cost, and profit is zero.

Break-even sales volume (units) = Fixed Cost ÷ Contribution per unit

Contribution per unit: the building block 🔗

Contribution per unit is the amount left over from the selling price after covering the variable cost of making and selling one unit:

Contribution per unit = Selling Price per unit − Variable Cost per unit

This contribution is what pays off fixed costs first, and once fixed costs are fully covered, every rupee of contribution beyond that becomes profit. This single relationship – sales minus variable costs minus fixed costs equals profit – is the foundation of the entire CVP framework, as most cost-volume-profit models confirm.

The formula for sales volume to earn a desired profit per unit 🔗

Now, instead of asking “how many units to break even,” the question becomes “how many units to earn ₹X profit on each unit sold.” The trick, as outlined in standard marginal costing material, is to treat the desired profit per unit exactly like an additional variable cost. Since it has to be recovered on every single unit sold, it behaves just like a per-unit expense that the contribution must cover before fixed costs are even considered.

So the “adjusted” variable cost becomes:

Adjusted Variable Cost = Variable Cost per unit + Desired Profit per unit

And the standard break-even formula is applied using this adjusted figure:

Sales Volume (units) = Fixed Cost ÷ (Selling Price per unit − Adjusted Variable Cost)

Which simplifies to:

Sales Volume (units) = Fixed Cost ÷ (Contribution per unit − Desired Profit per unit)

Why treat profit like a cost? 🔗

This might feel counterintuitive at first – profit is supposed to be the reward, not an expense. But mathematically, if every unit must “keep aside” ₹40 as profit before anything is available to absorb fixed costs, then that ₹40 effectively reduces the contribution available for fixed-cost recovery. The remaining contribution (after subtracting the desired profit per unit) is what has to multiply out to exactly cover total fixed cost. This is the same underlying logic used across target-income CVP calculations, just applied on a per-unit basis rather than a total basis.

Worked example: setting a sales target 🔗

Assume a furniture manufacturer has the following cost structure for a study table:

• Selling price: ₹250 per table
• Variable cost: ₹150 per table
• Fixed costs: ₹6,00,000 per year
• Desired profit: ₹40 per table

Step 1: Calculate contribution per unit.

Contribution = ₹250 − ₹150 = ₹100 per table

Step 2: Subtract the desired profit per unit from the contribution.

₹100 − ₹40 = ₹60

Step 3: Divide fixed cost by this adjusted figure.

Sales Volume = ₹6,00,000 ÷ ₹60 = 10,000 tables

Let’s verify this. At 10,000 units, total contribution is 10,000 × ₹100 = ₹10,00,000. Subtracting the fixed cost of ₹6,00,000 leaves a total profit of ₹4,00,000. Divide that by 10,000 units, and profit per unit comes to exactly ₹40 – matching the target. The required sales revenue would be 10,000 × ₹250 = ₹25,00,000.

Desired profit per unit vs desired total profit: don’t mix them up 🔗

It’s worth placing all three related formulas side by side, since exam questions and real business scenarios often blur them together.

Notice the structural difference: when the target is a total profit figure, it gets added to fixed cost in the numerator. When the target is a per-unit profit figure, it gets subtracted from contribution in the denominator. Confusing the two produces wildly different – and wrong – answers, something even structured CVP calculation guides flag as a common pitfall.

How businesses actually use this calculation 🔗

Pricing strategy 🔗

Companies frequently work this formula in reverse. If a business knows its production capacity is capped at, say, 8,000 units a year, and it wants a specific profit margin on each unit, it can rearrange the formula to solve for the selling price instead of the volume. This is common in Indian manufacturing and retail, where MRPs are often set by working backwards from a desired per-unit margin after accounting for GST, distributor margins, and fixed overheads.

Setting realistic sales targets 🔗

Sales teams are frequently given unit targets, not profit targets, because units are easier to track and communicate. Translating a desired profit-per-unit figure into a concrete sales volume gives the sales function a number they can actually work toward, while still tying their performance back to the company’s profitability goals.

Budgeting and investor conversations 🔗

When a business is raising funds or negotiating a bulk supply contract, being able to say “we need to sell X units to guarantee ₹Y profit per unit” is far more persuasive than a vague profitability estimate. It shows the numbers have been modelled properly, a discipline emphasised throughout marginal costing study material used in Indian commerce and accountancy courses.

Limitations to keep in mind 🔗

This formula, like all CVP formulas, rests on a few simplifying assumptions: selling price and variable cost per unit stay constant regardless of volume, fixed costs don’t change within the relevant range of production, and the business sells a single product (or a constant sales mix, if multiple products are involved). In reality, bulk discounts, changing raw material prices, and step-fixed costs (where fixed costs jump once a certain volume is crossed) can all disturb this neat calculation. That’s why the number produced by this formula should be treated as a planning benchmark, not a guarantee – a starting point for setting targets, not the final word on them.

It’s also worth remembering that “profit per unit” as used here is typically profit before tax, unless a question specifically asks for an after-tax profit target, which would require grossing up the desired profit by the tax rate before applying the formula, similar to how after-tax target income problems are handled in standard CVP target-income calculations.

What do you think? If your fixed costs rose by 20% next year but you wanted to hold the same ₹40 profit per unit, how do you think the required sales volume would change – and would raising the selling price be a better solution than simply selling more units?

References

1. https://corporatefinanceinstitute.com/resources/accounting/cvp-analysis-guide/
2. https://www.wallstreetmojo.com/cost-volume-profit-analysis/
3. https://www.accountingverse.com/managerial-accounting/cvp-analysis/target-profit.html
4. https://www.indeed.com/career-advice/career-development/cost-volume-profit-analysis
5. https://www.catestseries.org/fetch-resource/ca-inter-costing-chapter-14-marginal-costing-by-icai-1770720951.pdf