Understanding the Profit Volume Ratio (PV Ratio)

The Profit Volume Ratio, commonly known as the PV Ratio or Contribution to Sales Ratio, is a fundamental concept in cost accounting and managerial economics. It shows the relationship between contribution margin and sales revenue. Essentially, it indicates how much contribution margin is generated for every rupee of sales. A higher PV ratio generally means that a larger portion of each sales rupee is available to cover fixed costs and contribute to profit.

The formula for calculating the PV Ratio is:

\( \text{PV Ratio} = \left( \frac{\text{Contribution Margin}}{\text{Sales Revenue}} \right) \times 100 \)

Alternatively, it can be calculated on a per-unit basis:

\( \text{PV Ratio} = \left( \frac{\text{Contribution Margin per unit}}{\text{Selling Price per unit}} \right) \times 100 \)

Let's break down the components needed for the calculation based on the provided information:

Calculating Contribution Margin per Unit

Contribution Margin per unit is the difference between the selling price per unit and the total variable cost per unit.

• Selling Price per unit = Rs. 20
• Variable Manufacturing Cost per unit = Rs. 11
• Variable Selling Cost per unit = Rs. 3

First, calculate the Total Variable Cost per unit:

\( \text{Total Variable Cost per unit} = \text{Variable Manufacturing Cost per unit} + \text{Variable Selling Cost per unit} \)

\( \text{Total Variable Cost per unit} = \text{Rs. } 11 + \text{Rs. } 3 = \text{Rs. } 14 \)

Now, calculate the Contribution Margin per unit:

\( \text{Contribution Margin per unit} = \text{Selling Price per unit} - \text{Total Variable Cost per unit} \)

\( \text{Contribution Margin per unit} = \text{Rs. } 20 - \text{Rs. } 14 = \text{Rs. } 6 \)

Determining the PV Ratio Calculation

Now that we have the Contribution Margin per unit and the Selling Price per unit, we can calculate the PV Ratio using the per-unit formula:

\( \text{PV Ratio} = \left( \frac{\text{Contribution Margin per unit}}{\text{Selling Price per unit}} \right) \times 100 \)

\( \text{PV Ratio} = \left( \frac{\text{Rs. } 6}{\text{Rs. } 20} \right) \times 100 \)

\( \text{PV Ratio} = (0.3) \times 100 \)

\( \text{PV Ratio} = 30\% \)

The calculated PV ratio for the company is 30%.

Revision Table: Key Costing Terms

Additional Information: Significance of PV Ratio

The PV ratio is a very important tool for management. Here's why:

• Profitability Indicator: It helps understand the inherent profitability of each product or sales segment. A higher ratio indicates better profitability potential.
• Break-Even Analysis: The PV ratio is crucial for calculating the break-even point (the level of sales where total revenue equals total costs, resulting in zero profit). Break-even point in Sales Value = Fixed Costs / PV Ratio.
• Decision Making: It assists in various decisions like pricing, sales mix analysis (deciding which products to push), make-or-buy decisions, and evaluating performance.
• Forecasting: It can be used to forecast profit at different sales levels or determine the sales needed to achieve a target profit. Target Sales Volume = (Fixed Costs + Target Profit) / Contribution Margin per unit. Target Sales Revenue = (Fixed Costs + Target Profit) / PV Ratio.
• Cost Control: Changes in variable costs or selling price directly impact the contribution margin and hence the PV ratio. Monitoring the ratio can highlight cost control or pricing issues.

In this specific case, a 30% PV ratio means that for every Rs. 100 of sales, Rs. 30 is available to cover fixed costs and contribute to profit. The remaining Rs. 70 represents the variable costs incurred for those sales.