Last Updated: June 2026
Break-Even Analysis — BEP Formula, Contribution Margin, P/V Ratio & Solved Examples
Break-Even Analysis is a fundamental concept in the JAIIB AFM (Accounting & Financial Management for Bankers) paper. It helps determine the point at which total revenue equals total costs — meaning neither profit nor loss. Understanding the Break-Even Point (BEP), contribution margin, Profit/Volume (P/V) ratio, and margin of safety is essential for credit appraisal, project evaluation, and financial analysis. This comprehensive guide covers all formulas, concepts, and solved examples for JAIIB preparation.
What is Break-Even Analysis?
Break-Even Analysis is a cost-volume-profit (CVP) technique used to determine the level of sales at which a business covers all its costs without making a profit or loss. At the Break-Even Point (BEP), Total Revenue = Total Costs (Fixed Costs + Variable Costs). Any sales above BEP generate profit, and any sales below BEP result in a loss. This analysis is crucial for banks when evaluating loan proposals — it helps assess the minimum viable production/sales level for a business to sustain operations.
The key cost categories are: (a) Fixed Costs — costs that remain constant regardless of production volume (rent, salary, insurance, depreciation); (b) Variable Costs — costs that vary directly with production volume (raw materials, direct labor, packaging); (c) Semi-Variable Costs — costs that have both fixed and variable components (electricity, maintenance).
Key Formulas
Contribution per unit = Selling Price per unit - Variable Cost per unit
P/V Ratio = (Contribution / Sales) × 100
BEP (units) = Fixed Costs / Contribution per unit
BEP (₹ sales) = Fixed Costs / P/V Ratio
Margin of Safety = Actual Sales - BEP Sales
Margin of Safety Ratio = (Margin of Safety / Actual Sales) × 100
Contribution Margin & P/V Ratio
Contribution is the amount available to cover fixed costs and generate profit after deducting variable costs from sales. The P/V Ratio (Profit-Volume Ratio) expresses contribution as a percentage of sales. A higher P/V ratio indicates greater profitability per rupee of sales and a lower break-even point. For example, if a product sells for ₹100 with variable cost of ₹60, the contribution is ₹40 and P/V ratio is 40%. This means for every ₹100 of sales, ₹40 is available to cover fixed costs and profit.
Solved Example 1 — Basic BEP Calculation
Given: Selling price = ₹200/unit, Variable cost = ₹120/unit, Fixed costs = ₹4,00,000/year
Solution:
- Contribution per unit = ₹200 - ₹120 = ₹80
- P/V Ratio = (80/200) × 100 = 40%
- BEP (units) = ₹4,00,000 / ₹80 = 5,000 units
- BEP (sales) = ₹4,00,000 / 0.40 = ₹10,00,000
Interpretation: The business must sell at least 5,000 units (worth ₹10 lakh) to cover all costs.
Solved Example 2 — Margin of Safety
Given: Actual sales = ₹15,00,000, BEP sales = ₹10,00,000
Solution:
- Margin of Safety = ₹15,00,000 - ₹10,00,000 = ₹5,00,000
- Margin of Safety Ratio = (5,00,000 / 15,00,000) × 100 = 33.33%
- Profit = Margin of Safety × P/V Ratio = ₹5,00,000 × 0.40 = ₹2,00,000
Interpretation: Sales can drop by 33.33% before the business starts incurring losses.
Key Relationships — Summary Table
| Concept | Formula | Significance |
|---|---|---|
| BEP (units) | Fixed Costs ÷ Contribution per unit | Minimum units to sell to avoid loss |
| BEP (₹) | Fixed Costs ÷ P/V Ratio | Minimum revenue to cover all costs |
| P/V Ratio | Contribution ÷ Sales × 100 | Profitability per rupee of sales |
| Margin of Safety | Actual Sales - BEP Sales | Buffer before loss begins |
| Target Profit Sales | (Fixed Costs + Target Profit) ÷ P/V Ratio | Sales needed for desired profit |
Relevance in Banking (Credit Appraisal)
For bankers, break-even analysis is a critical tool during credit appraisal of manufacturing and trading businesses. A bank evaluates: (a) How quickly does the borrower reach break-even? A lower BEP relative to installed capacity indicates lower risk; (b) What is the margin of safety? Higher margin means the business can withstand revenue declines; (c) What is the P/V ratio? Higher P/V ratio means better ability to service debt from operations. Banks typically prefer lending to businesses operating well above their BEP with a margin of safety of at least 25-30%.
Key Points for JAIIB Exam
- • At BEP: Profit = 0, Contribution = Fixed Costs
- • Higher fixed costs → higher BEP
- • Higher P/V ratio → lower BEP
- • Margin of Safety = Profit / P/V Ratio (alternative formula)
- • BEP assumes selling price, variable cost, and fixed costs remain constant
- • Angle of Incidence: angle between sales line and total cost line at BEP
- • Larger angle of incidence = higher profit rate above BEP
Sample MCQs for JAIIB AFM
Q1. If fixed costs are ₹3,00,000 and P/V ratio is 30%, the BEP in sales value is:
- (a) ₹9,00,000
- (b) ₹10,00,000
- (c) ₹12,00,000
- (d) ₹15,00,000
Answer: (b) — BEP (sales) = Fixed Costs / P/V Ratio = ₹3,00,000 / 0.30 = ₹10,00,000.
Q2. A product has selling price ₹500, variable cost ₹300. The P/V ratio is:
- (a) 60%
- (b) 40%
- (c) 50%
- (d) 30%
Answer: (b) — P/V Ratio = Contribution/Sales × 100 = (500-300)/500 × 100 = 200/500 × 100 = 40%.
Q3. If actual sales are ₹20 lakh and BEP is ₹15 lakh, the margin of safety ratio is:
- (a) 20%
- (b) 25%
- (c) 30%
- (d) 75%
Answer: (b) — Margin of Safety = ₹20L - ₹15L = ₹5L. MoS Ratio = (5/20) × 100 = 25%. Sales can drop 25% before losses begin.
Q4. At the Break-Even Point, which statement is TRUE?
- (a) Total contribution = Total variable costs
- (b) Total contribution = Total fixed costs
- (c) Total revenue = Total variable costs
- (d) Fixed costs = Variable costs
Answer: (b) — At BEP, Total Contribution exactly equals Total Fixed Costs, resulting in zero profit. Beyond BEP, contribution exceeds fixed costs, generating profit.