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Profit Volume Ratio (P/V Ratio) — Formula and Examples

The Profit Volume ratio, usually written as the P/V ratio, is an important tool in cost accounting and break-even analysis. It shows the relationship between contribution and sales — that is, how much of each rupee of sales is available as contribution towards covering fixed costs and earning profit. The P/V ratio is widely used to find the break-even point, the margin of safety and the profit at different levels of sales. A higher P/V ratio is better, because it means more contribution per rupee of sales.

Question (Click to Flip)

What is the P/V ratio?

Answer

The Profit Volume (P/V) ratio shows the relationship between contribution and sales — how much of each rupee of sales is available as contribution to cover fixed costs and earn profit. It is calculated as (Contribution / Sales) Ɨ 100, where contribution is sales minus variable cost. It is mainly used in break-even analysis.

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Key Facts

P/V ratio shows the relationship between contribution and sales.

Formula: P/V Ratio = (Contribution / Sales) Ɨ 100.

Contribution = Sales āˆ’ Variable Cost.

P/V Ratio can also be found as (Change in Profit / Change in Sales) Ɨ 100.

Break-Even Point (in ₹) = Fixed Cost / P/V Ratio.

A higher P/V ratio means higher profitability.

P/V ratio improves by raising prices, cutting variable costs or changing product mix.

P/V Ratio Formula

The Profit Volume ratio is calculated as:

P/V Ratio = (Contribution / Sales) Ɨ 100

Where Contribution = Sales āˆ’ Variable Cost.

So the P/V ratio can also be written as: P/V Ratio = [(Sales āˆ’ Variable Cost) / Sales] Ɨ 100

Other useful forms: • P/V Ratio = (Change in Profit / Change in Sales) Ɨ 100 • P/V Ratio = (Contribution per unit / Selling price per unit) Ɨ 100

The P/V ratio is usually expressed as a percentage.

Example of P/V Ratio Calculation

Example 1: Sales = ₹2,00,000; Variable Cost = ₹1,20,000. Contribution = Sales āˆ’ Variable Cost = 2,00,000 āˆ’ 1,20,000 = ₹80,000. P/V Ratio = (80,000 / 2,00,000) Ɨ 100 = 40%.

Example 2 (using change in profit and sales): If sales increase from ₹1,00,000 to ₹1,50,000 and profit increases from ₹10,000 to ₹30,000: Change in profit = 30,000 āˆ’ 10,000 = ₹20,000. Change in sales = 1,50,000 āˆ’ 1,00,000 = ₹50,000. P/V Ratio = (20,000 / 50,000) Ɨ 100 = 40%.

Uses and Importance of the P/V Ratio

The P/V ratio is used to find several important figures:

  1. Break-Even Point (BEP): BEP (in ₹) = Fixed Cost / P/V Ratio.

  2. Contribution: Contribution = Sales Ɨ P/V Ratio.

  3. Profit: Profit = (Sales Ɨ P/V Ratio) āˆ’ Fixed Cost.

  4. Margin of Safety: Margin of Safety = Profit / P/V Ratio.

Importance: • A higher P/V ratio means more profit; a lower one means less. • It helps in deciding which product is more profitable. • It helps in fixing selling prices and planning sales targets.

The P/V ratio can be improved by increasing the selling price, reducing variable costs, or changing the product mix towards products with a higher P/V ratio.

Questions and Answers

What is the P/V ratio?+

The Profit Volume (P/V) ratio shows the relationship between contribution and sales — how much of each rupee of sales is available as contribution to cover fixed costs and earn profit. It is calculated as (Contribution / Sales) Ɨ 100, where contribution is sales minus variable cost. It is mainly used in break-even analysis.

What is the formula for the P/V ratio?+

The P/V ratio is calculated as (Contribution / Sales) Ɨ 100, where Contribution = Sales āˆ’ Variable Cost. It can also be found as (Change in Profit / Change in Sales) Ɨ 100, or as (Contribution per unit / Selling price per unit) Ɨ 100. It is usually expressed as a percentage.

How is the P/V ratio used to find the break-even point?+

The break-even point in rupees is found using the formula: BEP = Fixed Cost / P/V Ratio. For example, if fixed cost is ₹40,000 and the P/V ratio is 40% (0.40), the break-even sales = 40,000 / 0.40 = ₹1,00,000. At this level of sales, there is neither profit nor loss.

How can the P/V ratio be improved?+

The P/V ratio can be improved by: increasing the selling price of the product, reducing the variable cost per unit, or changing the sales mix in favour of products that have a higher P/V ratio. A higher P/V ratio means more contribution per rupee of sales and therefore more profit.

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