# Break-Even Points — Operating, Financial and Combined

Three distinct break-evens map to the three layers of the income statement.

## 1. Operating BEP

Sales level at which EBIT = 0 (Contribution just covers operating fixed cost).

BEP (units) = Fixed Cost ÷ Contribution per unit
BEP (₹) = Fixed Cost ÷ P/V Ratio

## 2. Financial BEP

EBIT level at which EPS = 0 — i.e., EBIT just covers interest plus the grossed-up preference dividend.

> Financial BEP (EBIT) = Interest + Preference Dividend ÷ (1 − t)

Below this EBIT, equity shareholders take a loss even if the company is operationally profitable.

## 3. Combined BEP

Sales level at which EPS = 0, considering both operating and financial fixed costs together.

> Combined BEP (Sales ₹) = [Fixed Cost + Interest + PD/(1−t)] ÷ P/V Ratio

## Why three?

They isolate the source of risk:

A firm above Operating BEP but below Financial BEP is in financial distress (operating profit exists but is gobbled up by interest).
The gap between Operating BEP and Combined BEP is the firm's financial risk cushion.

## Margin of Safety (MOS)

MOS (₹) = Actual Sales − Operating BEP Sales
MOS ratio = MOS ÷ Actual Sales
MOS ratio = 1 / DOL

A high MOS means a wide gap between current sales and the operating break-even.

Worked example

### Example 1

RTP May 2025 Kshitij Ltd.: Sales ₹180 L, BEP ₹120 L (given). MOS = 180 − 120 = ₹60 L. MOS ratio = 60/180 = 33.33%. DOL = 1/0.3333 = 3. So a 15% rise in sales gives 45% rise in EBIT.

### Example 2

Computing Combined BEP for a firm with Fixed Cost ₹45 L, Interest ₹8.1 L, no pref capital, P/V ratio 50%:

Combined BEP = (45 + 8.1) / 0.50 = ₹106.2 L. Any sales below this and equity shareholders earn nothing.

⚠️ Common exam mistakes

Treating Operating BEP and Financial BEP as interchangeable — they're measured in different units (sales vs. EBIT).
Skipping the (1 − t) gross-up on preference dividend in Financial BEP — pref div is post-tax.
Using Contribution instead of Contribution per unit when computing BEP (units).

Reference:

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Operating, Financial and Combined Break-Even Points

Worked example

⚠️ Common exam mistakes