CVP Analysis — P/V Ratio, BEP, Margin of Safety, Cash BEP

# CVP Analysis: Key Ratios and Break-Even Concepts

## What CVP Analysis Tells You

Cost-Volume-Profit analysis examines how costs, output volume, and profit interrelate. It provides actionable answers to:

• How do costs behave as activity changes?
• At what sales level does the business break even?
• What profit results from a given sales volume?
• What volume is needed to hit a target profit?

### Four Variables That Impact Net Profit

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## Formula 1: Profit/Volume Ratio (P/V Ratio)

Measures how fast contribution grows relative to sales. Expressed as a percentage.

$$P/V\ Ratio = \frac{\text{Contribution}}{\text{Sales}} \times 100$$

Alternatively (useful when only changes are known):

$$P/V\ Ratio = \frac{\text{Change in Contribution or Profit}}{\text{Change in Sales}} \times 100$$

Higher P/V ratio means contribution grows faster than sales — better profitability per rupee of revenue.

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## Formula 2: Break-Even Point (BEP)

The sales level where Total Revenue = Total Cost (zero profit, zero loss).

$$\text{BEP (Units)} = \frac{\text{Fixed Cost}}{\text{Contribution per Unit}}$$

$$\text{BEP (Value / ₹)} = \frac{\text{Fixed Cost}}{P/V\ Ratio}$$

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## Formula 3: Margin of Safety (MOS)

The buffer between actual sales and break-even sales.

$$\text{MOS} = \text{Actual Sales} - \text{Break-Even Sales}$$

$$\text{MOS Ratio} = \frac{\text{Actual Sales} - \text{Break-Even Sales}}{\text{Actual Sales}}$$

Alternate formula (very useful in problems):

$$\text{MOS} = \frac{\text{Profit}}{P/V\ Ratio}$$

• MOS = NIL when Actual Sales = BEP Sales (not a loss — exactly break-even)
• Higher MOS → lower business risk

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## Formula 4: Cash Break-Even Point

BEP computed using only cash fixed costs — depreciation and other non-cash charges are excluded.

$$\text{Cash BEP (Units)} = \frac{\text{Cash Fixed Costs}}{\text{Contribution per Unit}}$$

Cash BEP ≤ Normal BEP always, since cash fixed costs ≤ total fixed costs.

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## MOS and Operating Leverage — The Inverse Relationship

$$\text{Operating Leverage} = \frac{\text{Contribution}}{\text{Operating Profit}}$$

Key identity: $\text{MOS Ratio} = \dfrac{1}{\text{Operating Leverage}}$

Both metrics measure sensitivity of profit to sales changes. A company with high operating leverage amplifies profits on upside but magnifies losses on downside.