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Microlesson · 5-min read

Profit-Volume (P/V) Ratio

# Profit-Volume (P/V) Ratio

The P/V Ratio (also called Contribution-to-Sales ratio) expresses contribution as a percentage of sales. It indicates the rate at which profit changes for every rupee of sales (after the break-even point is crossed).

## Formulas

All the following are equivalent:

$$\text{P/V Ratio} = \frac{\text{Contribution per unit}}{\text{Selling Price per unit}}$$

$$= \frac{\text{Total Contribution}}{\text{Total Sales}}$$

$$= \frac{\text{Sales} - \text{Variable Cost}}{\text{Sales}}$$

$$= 1 - \text{Variable Cost \%}\;\text{(of sales)}$$

It is typically expressed as a percentage.

## Uses of P/V Ratio

  • Compute Break-Even Point in ₹: BEP = Fixed Cost / P/V Ratio.
  • Compute Sales required for a desired profit: (Fixed Cost + Desired Profit) / P/V Ratio.
  • Compare profitability of different products / divisions / segments.
  • Indicates the margin available to absorb fixed cost and contribute to profit from every rupee of sale.

## How to Improve P/V Ratio

1. Increase the selling price per unit.

2. Reduce the variable cost per unit (better procurement, efficient labour, better process).

3. Change the sales mix — push products with a higher P/V ratio.

Worked example

### Example 1

Example 1 — From per-unit data

SP/unit = ₹100, VC/unit = ₹60.

Contribution/unit = ₹40 → P/V Ratio = 40/100 = 40%.

This means 40 paise out of every rupee of sales is contribution (available for fixed cost & profit).

### Example 2

Example 2 — Using P/V Ratio for planning

Fixed Cost = ₹2,00,000; P/V Ratio = 25%; Desired Profit = ₹50,000.

Required Sales = (Fixed Cost + Desired Profit) / P/V Ratio

= (2,00,000 + 50,000) / 0.25 = ₹10,00,000.

⚠️ Common exam mistakes

  • Dividing by Variable Cost or by Fixed Cost instead of by Sales — denominator is always Sales.
  • Forgetting to express the ratio as a percentage in the final answer.
  • Mixing per-unit numerator with total denominator (or vice versa) — keep both in the same unit basis.
  • Assuming P/V ratio changes with volume — within the relevant range it is constant (since SP/unit and VC/unit are assumed constant).
Reference:
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