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Microlesson · 5-min read

Margin of Safety (MOS)

# Margin of Safety (MOS)

## Concept

Once the Break-Even Point (BEP) is reached, the firm has fully recovered its costs. Margin of Safety measures the cushion of sales beyond the break-even level — i.e., the portion of sales that actually generates profit.

A high MOS indicates a financially healthy business — sales can drop substantially before the firm starts incurring losses.

## Formulas

In units:

$$\text{MOS (units)} = \text{Actual units sold} - \text{Break-even units}$$

In sales value:

$$\text{MOS (₹)} = \text{Actual sales} - \text{Break-even sales}$$

Profit-based shortcuts:

$$\text{MOS (units)} = \frac{\text{Total Profit}}{\text{Contribution per unit}}$$

$$\text{MOS (₹)} = \frac{\text{Total Profit}}{\text{P/V Ratio}}$$

## Important Tips

(i) Cash BEP: If the question asks for Cash BEP, replace Fixed Cost with (Fixed Cost − Depreciation) because depreciation is a non-cash expense.

$$\text{Cash BEP (units)} = \frac{\text{Fixed Cost} - \text{Depreciation}}{\text{Contribution per unit}}$$

(ii) Multi-product Weighted Average Contribution: When a company manufactures more than one product, compute the weighted average contribution per unit:

$$\text{Weighted Avg. Contribution} = \frac{(\text{Contri/unit}_A \times \text{Units}_A) + (\text{Contri/unit}_B \times \text{Units}_B)}{\text{Units}_A + \text{Units}_B}$$

Worked example

### Example 1

Example: A company has fixed cost ₹1,00,000, selling price ₹50/unit, variable cost ₹30/unit, and current sales of 8,000 units.

  • Contribution/unit = ₹50 − ₹30 = ₹20
  • BEP (units) = ₹1,00,000 / ₹20 = 5,000 units
  • MOS (units) = 8,000 − 5,000 = 3,000 units
  • Total Profit = 3,000 × ₹20 = ₹60,000
  • Check: MOS = Profit/Contribution = 60,000/20 = 3,000 units ✓

### Example 2

Cash BEP Example: Fixed cost ₹1,00,000 includes ₹20,000 depreciation; contribution/unit ₹20.

  • Cash BEP = (1,00,000 − 20,000) / 20 = 4,000 units
  • (vs. normal BEP of 5,000 units)

⚠️ Common exam mistakes

  • Forgetting to subtract depreciation when the question asks for Cash BEP — using full fixed cost gives the wrong answer.
  • Using selling price instead of contribution per unit in the MOS formula MOS = Profit/Contribution per unit.
  • Mixing units and value — applying P/V ratio to a units figure or contribution/unit to a sales value.
  • In multi-product problems, taking a simple average of contributions instead of a weighted average based on the actual sales mix.
Reference:
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