Marginal Costing - Cost Accounting | CMA Inter Syllabus

  • By Team Koncept
  • 30 November, 2024
Marginal Costing - Cost Accounting | CMA Inter Syllabus

Marginal Costing - Cost Accounting | CMA Inter Syllabus

Traditional costing evolved in the early 1900s. In 1901, the British Federation of Master Printers set out to find a solution to the problem of setting prices on the basis of the cost of the product. Twelve years later, in 1913, they issued ‘The Printer’s Cost Finding System’, which was basically the absorption costing system that revolutionised the cost accounting scenario. The traditional system of cost accounting also known as the absorption costing is the most widely and the accepted methodology which records the cost accumulation process and is most significant in product pricing, but it is important to note that since it was designed for production companies, it dealt with production costs only and, as a consequence, it is less suitable for service or retail organisations.

It is important to note that traditional costing or absorption costing is used exclusively for pricing and external reporting purpose. It is not designed to make decisions of a short-term nature, and is therefore never be used for this purpose.

Marginal costing alias variable costing, which is the subject of this study note, is used when short-term decisions on matters such as product/service profitability is under consideration, but if long-term decisions need to be made, long-run average costs are required which an absorption costing system provides.

CIMA Official Terminology1 defines absorption costing or traditional costing as ‘a costing system which assigns direct costs and all or part of overhead to cost units using one or more overhead absorption rates. It is also referred to as full costing although this is a misnomer if all costs are not attributed to cost units.’

Marginal Costing is not a method of costing like job, batch or contract costing. It is a technique of costing in which only variable manufacturing costs are considered while determining the cost of goods sold and also for valuation of inventories. This technique is based on the fundamental principle that the total costs can be divided into fixed and variable. While the total fixed costs remain constant at all levels of production, the variable costs go on changing with the production level.

Para 4.14 of CAS – 3 (Revised 2015) defines variable cost as the costs which tends to directly vary with the volume of activity.

Para 4.17 of CAS - 1 (Revised 2015) defines fixed costs as costs which do not vary with the change in the volume of activity. Fixed indirect costs are termed fixed overheads.

It is important to note that fixed cost remain fixed for a particular period and is thus referred as period cost and that also within the relevant range. Whereas, variable costs are treated as product costs as these costs are traceable to the product.

In this regard it is important to note that there are costs which cannot be classified as variable cost nor as fixed cost. These costs are referred as semi-variable costs. 

Para 4.30 of CAS - 1 (Revised 2015) defines semi variable costs as the costs that contain both fixed and variable elements. They partly change with the change in the level of activity.

Semi-variable cost are to be segregated into fixed and variable elements specifically for the purpose of analysis under marginal costing system. The segregation of the semi-variable cost has been considered, in details, in Module 1 in this Study material.


1 Concept of Marginal Cost and Marginal Costing

Definitions

Marginal cost

Fully absorbed product costs include fixed overhead, whereas  the marginal cost of a product usually consists of variable costs only. It is defined as the change in aggregate costs due to change in the volume of production by one unit.

CIMA Official Terminology defines marginal cost as part of the cost of one unit of product or service that would be avoided if the unit were not produced, or that would increase if one extra unit were produced.

For example, if the total number of units produced are 800 and the total cost of production is ₹12,000, if one unit is additionally produced the total cost of production may become ₹12,010 and if the production quantity is decreased by one unit, the total cost may come down to ₹11,990. Thus the change in the total cost is by ₹10 and hence the marginal cost is ₹10. This change, particularly in the short run, is brought about by variable cost of production. The increase or decrease in the total cost is by the same amount because the variable cost always remains constant on per unit basis. The marginal production cost per unit of an item usually consists of the following:

  • Direct materials
  • Direct labour
  • Variable production overheads

Marginal costing

Marginal costing is an alternative method of costing to absorption costing. In marginal costing, only variable costs are charged as a cost of sale and a contribution is calculated. Closing inventories of work in progress or finished goods are valued at marginal (variable) production cost. Fixed costs are treated as a period cost, and are charged in full against profit in the accounting period in which they are incurred. It is defined as ascertainment of cost and measuring the impact on profit of the change in the volume of output or type of output. This is subject to one assumption and that is the fixed cost will remain unchanged irrespective of the change. Thus, the marginal costing involves firstly the ascertainment of the marginal cost and measuring the impact on profit of alterations made in the production volume and type.

CIMA Official Terminology2 defines marginal (or variable) costing as a technique which assigns only variable costs to cost units while fixed costs are written off as period costs.

The following example clarifies the issue of application of marginal costing:

Assume that company is manufacturing 45,000 units of product A, 50,000 units of product B and 30,000 units of product C in a particular year. If it decides to change the product mix and decides that the production of B is to be reduced by 5000 units and that of A should be increased by 5000 units, there will be impact on profits and it will be essential to measure the same before the final decision is taken. Marginal costing helps to prepare comparative statement and thus facilitates the decision-making. This decision is regarding the change in the volume of output. Now suppose if the company has to take a decision that product B should not be produced at all and the capacity, which will be available, should be utilized for A and B this will be change in the type of output and again the impact on profit will have to be measured. This can be done with the help of marginal costing by preparing comparative statement showing profits before the decision and after the decision. This is subject to one assumption and that is the fixed cost remains constant irrespective of the changes in the production. Thus, marginal costing is a very useful technique of costing for decision-making.

Contribution

Contribution is an important measure in marginal costing. It is calculated as the difference between sales value and marginal or variable cost.

CIMA Official Terminology2 defines contribution as ‘sales value – variable cost of sales’.

The term ‘contribution’ is really short for ‘contribution towards covering fixed overheads and making a profit’.

The term is derived from the concept that the sales revenue generated through sales after covering up for variable cost of sales (without which the sales revenue cannot be generated) contributes towards fixed cost and after recoup-ing the fixed cost the residue contributes towards profit.

Example 1

Let us assume that a fountain pen named Shikhar is sold by Lotus Ltd. for ₹14,500. The direct material cost (cost of blank, nib, clip and trims) per unit is ₹3,200, the direct labour cost per unit is ₹ 4100 and the variable production overhead cost per unit is ₹1,320. Fixed overheads per month are ₹1,00,000 and the budgeted production level is 100 units in a particular month.

The contribution is calculated as below:

Particulars  (₹)  (₹) 
Sale Price (per unit)   14,500
Less: Variable cost of production    
     Direct material 3,200  
     Direct Labour 4,100  
     Variable production overhead 2,320 9,620
Contribution per unit    4,880

In the above example there is a contribution of ₹4,880 for each unit of sale of Shikhar. This implies that sale of one unit of the fountain pen contributes ₹4,880 initially towards fixed overheads of  ₹1,00,000 which is spent for the month and after such fixed overhead is recovered, towards profit. In the given situation the budgeted production level is 100 units in a particular month. Thus, ₹4,88,000 is the total contribution for the month which contributes towards the recovery of fixed cost for the month (₹1,00,000). Thus, profit (contribution – fixed cost) is ₹3,88,000.

Features of Marginal costing

Marginal costing is not a method of costing but it is a technique of costing distinct from the traditional costing absorption costing. The distinguishing features of marginal costing are as follows:

  1. In marginal costing, costs are segregated into fixed and variable. Only variable costs are charged to the production, i.e. included in the cost of production. Fixed costs are not included in the cost of production, which means that they are not absorbed in the production. However, this does not mean that they are ignored or not taken into consideration. These costs are considered while computing the final profit or loss by debiting them to the Costing Profit and Loss Account. This primarily counters the problem of under and over absorption of overheads also.
  2. The second important feature of marginal costing is that the valuation of inventory is done at only variable cost. This implies that only variable costs are taken into consideration while valuing the inventory. Fixed costs are eliminated from the inventory valuation because they are period costs and relate to a particular period. If they are included in the inventory valuation, they will be carried forward to the next period because the closing inventory for a particular year is the opening inventory for the next year. Thus, charging current year’s costs to the next year will be against the basic principle of the fixed element of the cost. It is also pertinent to note that as discussed in the previous point fixed costs are not included in the cost of production, and so including them in the inventory valuation is not justifiable.
  3. There is significant difference in preparation of the Income statement under Marginal costing. The income statement (under marginal costing) is shown as under:

Income Statement 
XYX Ltd

Particulars Amount (₹) Amount (₹)
Sales    
Less: Variable Cost    
Contribution    
Less: Fixed costs    
Profit    

If the company is producing more than one product, the contribution from each product is combined as a pool from which the total fixed cost is deducted. Fixed cost is not charged to each product unless it is identifiable with a product. 


2 Absorption Costing vs Marginal costing 

From the above discussion it is clear that marginal costing is a technique of costing which advocates that only variable costs should be taken into consideration while working out the total cost of production and while valuing the inventory, only variable costs should be taken into the computation. Fixed costs should not be absorbed in the cost of production but should be charged to the Costing Profit and Loss Account. On the other hand, under absorption costing all indirect costs i.e. overheads are first apportioned and then absorbed in the production units. The difference between the absorption costing and marginal costing is discussed in the subsequent lines.

  Absorption Costing   Marginal Costing
1 Costs are classified as direct and indirect, direct costs are identifiable with a particular product and hence charged directly. Indirect costs i.e. overheads are first identified, apportioned to the cost centers and finally absorbed in the product units on some suitable basis. Costs and classified as fixed and variable. While direct costs are mostly variable, indirect costs, i.e. overheads may be semi variable. The variable portion in the total overhead cost is identified and thus, the total variable costs are computed. Only variable costs are charged to the product while the fixed costs are not absorbed in the product units. They are finally debited to the Costing Profit and Loss Account for computing the final figure of profit or loss. Thus, the cost of production under marginal costing is only the variable portion of the total costs.
2.  The year-end inventory of finished goods under absorption costing is valued at total cost, i.e. fixed and variable. The year-end inventory is valued at variable cost only. Fixed costs are not taken into consideration while valuing inventory, as they are not absorbed in the product units.
3.  The fixed overhead absorption may create some problems like over/under absorption. This happens because of the overhead absorption rate which is pre determined. Suitable corrective entries are to be made to rectify the over/under absorption of overheads; otherwise the cost of production with be distorted. The fixed overheads are charged directly to the Costing Profit and Loss Account and not absorbed in the product units. Therefore there is no question of under/over absorption of overheads.
4.  Due to the inventory valuation, which is done at the full cost, the costs relating to the current period are carribe forward to the subsequent period. This will distort the cost of production.  Fixed costs are not taken into consideration while valuing the inventory and hence there is no distortion of profits.
5.  The total cost of production is charged to the product without distinguishing between the fixed and variable components. The selling price is thus 
fixed on the basis of total costs.
Only variable costs are charged to the cost of production and therefore the selling price is also based on only variable costs. This will result in fixation of selling price below the total costs. There is a possibility of starting a price war in such situations, which will be harmful to all the companies in the industry.

The impact on the profit under the two cost accounting systems is summarized below:

  • Scenario one –No opening and closing stock  
  • In this situation, profit / loss under absorption and marginal costing will be equal.
  • Scenario two – Value of opening stock is equal to value of closing stock In this situation, profit / loss under two approaches will be equal provided the fixed cost element in both the stocks is same amount.
  • Scenario three – Value of closing stock is more than value of opening stock When production during a period is more than sales, then profit as per absorption approach will be more than that by marginal approach. The reason behind this difference is that a part of fixed overhead included in closing stock value is carried forward to next accounting period.
  • Scenario four – Value of opening stock is more than the value of closing stock When production is less than the sales, profit shown by marginal costing will be more than that shown by absorption costing. This is because, in absorption costing a part of fixed cost from the preceding period is added to the current year’s cost of goods sold in the form of opening stock.

The income statements under the two systems are presented in the following lines:

Income Statement (Absorption Costing)

Particulars (₹)  (₹) 
Sales   --
- Direct material consumed    --
- Direct labour cost   --
- Variable manufacturing overhead   --
-  Fixed manufacturing overhead   --
Cost of production    --
Add: Opening stock of finished goods (Value at cost of previous year’s production)   --
Less: Closing stock of finished goods (Value at production cost of current period)   --
Cost of Goods Sold   --
Add:(or less) Under (or Over) absorption of Fixed Manufacturing overhead   --
Add: Administration costs --  
Add: Selling and distribution costs -- --
Total Cost   --
Profit (Sales–Total cost)    --

 

Income statement (Marginal Costing)

Particulars (₹)
Sales --
Variable manufacturing costs: --
-  Direct material consumed --
- Direct labour --
- Variable manufacturing overhead --
Cost of Goods Produced --
Add: Opening stock of finished goods (value at cost of previous period) --
Less: Closing stock of finished goods (Value at current variable cost) --
Cost of Goods Sold  --
Add: Variable administration, Selling and distribution overhead --
Total Variable Cost --
Contribution (Sale–Total variable costs) --
Less: Fixed costs (production, administration, selling and distribution) --
Net profit --

Fundamental principle of marginal costing

Since fixed costs are constant within the relevant range of volume sales, the following is the net impact of selling one extra unit:

  1. Revenue will increase by the sales price of one unit.
  2. Costs will only increase by the variable cost per unit.
  3. The increase in profit will equal sales value less variable costs, i.e. the contribution

If the volume of sales falls by one unit, then profit will fall by the contribution of that unit. If the volume of sales increases by one unit, profit will increase by the contribution of that unit.

Fixed costs relate to time and is thus referred as the period cost, and do not change with increases or decreases in sales volume. It avoids the often arbitrary apportionment of fixed cost and highlights contribution, which is considered more appropriate for decision –making purposes.

Differential Cost Analysis

Differential costs are also known as incremental cost. This cost is the difference in total cost that will arise from the selection of one alternative to the other. In other words, it is an added cost of a change in the level of activity. This type of analysis is useful for taking various decisions like change in the level of activity, adding or dropping a product, change in product mix, make or buy decisions, accepting an export offer and so on. Thus, differential cost analysis is similar to marginal cost. In the following lines a conceptual understanding of the same is undertaken.

Differential cost represents the algebraic difference between the relevant costs for the alternatives being considered. Thus, when two levels of activities are being considered, the differential cost is obtained by subtracting the cost at one level from the cost of another level. The difference in total costs of two alternative courses of action will be the differential cost. The existing cost or original cost is compared with the prospective / expected or proposed cost. If the differential cost is negative (i.e. proposed cost less existing cost) then the proposal is acceptable else the proposal is rejected. Suppose, present cost is ₹ 1, 25,000 when the work is done by an existing machine and the estimated cost, when the work is done by new machine, is ₹ 1,05,000. There is a decrease in cost by ₹ 20,000 and the decision for replacement of machine should be implemented because there is an increase of profit by ₹ 25,000.

Essential features of differential costs are as follows:

  1. Differential cost analysis is not made within the accounting records, rather it is made outside the accounting records. Differential costs may however, be incorporated in the flexible budget because the budget shows costs at various levels of activity.
  2. The database which is considered for analysis of differential costs are total costs (both fixed and variable), total revenue and the investment factors which are relevant in the problem for which the analysis is under-taken.
  3. Total differential costs are considered in differential cost analysis. Cost per unit is not taken into consideration.
  4. Cost benefit analysis is done in evaluating alternate course of actions. Total differential revenues are compared with total differential costs before advocating an alternate course of action. A change in course of action is recommended only if incremental revenue exceeds incremental costs.
  5. As the differences in the costs at two levels are considered, absolute costs at each level are not as relevant as the difference between the two. Thus, items of costs which do not change but are identical for the alternative under consideration, are ignored.
  6. The changes in costs are measured from a common base point which may be present course of action or present level of production.
  7. Differential costs analysis is related to the future course of action or future level of output, so it deals with future costs. Historical costs or standard cost may be used but they should be adjusted to future conditions.
  8. For making a choice among the various alternatives, the alternative which gives the maximum difference between the incremental revenue and incremental cost is recommended to be adopted.

Differential Cost Analysis and Marginal Costing

Differential costs are often considered as marginal costs but that is really too simplistic and the two terms are used to mean different things. Differential costs are simply, as stated above, the difference of total cost between two alternative courses of action and are therefore calculated on the basis of absorption costing or total costing but in marginal costing technique, analysis are made on the basis of variable costs and the fixed costs are considered as period costs and thus are excluded for the purpose of analysis. If the alternate course of action does not involve any extra fixed cost then change in variable costs will be equal to the differential costs and there will be no difference between differential costs and marginal costs.

Similarities

  1. Both differential costs and marginal costs are techniques of cost analysis and cost presentation.
  2. Management decisions and policies are evaluated on the basis of differential costs and marginal costs technique.
  3. When there is no change in fixed cost on account of change in the level of activity then differential costs and marginal costs remains the same.

Differences

  1. Fixed costs are not added to get the marginal cost of a product whereas differential cost analysis takes into consideration changes in fixed costs due to change in the level of activity.
  2. Differential costs are not incorporated in the accounting records. It is used in evaluation of management decisions separately. Marginal costs may be incorporated in the accounting records.
  3. Marginal costs are calculated on the basis of contribution approach whereas differential costs may be ascer-tained on the basis of both absorption costing as well as marginal costing.
  4. In marginal costing, contribution margin, contribution per unit of limiting factor and profit volume ratio are the main tools for evaluating management decisions whereas in differential cost analysis, incremental revenue is compared with the incremental cost to evaluate alternative course of actions.

Limitations of Marginal Costing

Marginal costing technique is used for internal reporting purpose and for the purpose of decision making. For external reporting purpose, total costing or absorption costing is still the preferred method. The discussion made, in the above paragraphs, so far highlights only the positive aspects of marginal costing. In the following lines, some of the limitations of the technique are noted.

  1. The breakeven analysis assumes that cost and revenue behaviour patterns are known and that the change in activity levels can be represented by a straight line.
  2. It may not always be feasible to split costs precisely into variable and fixed categories. Costs often show mixed behaviour and then, simple techniques of segregation fail.
  3. The breakeven analysis assumes that fixed costs remain constant over the relevant range under consideration. If that is not the case, then the graph of total costs will have a step in it where the fixed costs are expected to increase.
  4. Breakeven analysis assumes input and output volumes are the same, so that there is no build-up of stocks and work-in-progress.
  5. Breakeven charts and simple analysis can only deal with one product at a time.
  6. The entire gamut of break-even analysis is based on the assumption that cost behaviour depends entirely on volume.

These limitations may be overcome by modifying the breakeven analysis. However, that would involve considerably more computation work and is beyond the scope of this study note.


3 Cost –Volume – Profit (CVP) Analysis

Managers are concerned about the impact of their decisions on profit. The decisions managers make basically about volume of sales, pricing of products, or incurring a cost. Therefore, managers require an understanding of the relations among revenues, costs, volume, and profit. The cost accounting department supplies the data and analysis, called Cost-Volume-Profit (CVP) analysis, which facilitates managers to take their decisions. The term CVP analysis is interchangeably used with the term marginal costing. Surely the term CVP analysis is much broader in context and uses the similar technique as embedded in marginal costing.

CIMA’s Official Terminology defines Cost–Volume–Profit (CVP) analysis as ‘the study of the effects on future profit of changes in fixed cost, variable cost, sales price, quantity and mix’.

The terms CVP analysis and the term breakeven analysis are used interchangeably. However, this is somewhat misleading, since the term break even analysis seems to imply that the focus of the analysis is the breakeven point – that is, the level of activity which produces neither profit nor loss.

Tools and techniques of CVP analysis

Contribution analysis

It has been already discussed that the fundamental aspect of CVP analysis alias marginal costing is that the excess of sales value and the variable cost of sales contributes to the fixed cost (period cost) and after recouping fixed cost the residue contributes towards profit. Thus, the issue of contribution is fundamental to CVP analysis.

  • Contribution per unit = Sales per unit – Variable Cost per unit
  • Total Contribution = per unit contribution × number of units sold
  • Total Contribution – Fixed Cost = Profit

If more than one product is produced, contributions of all products are added and out of aggregate contribution fixed costs are deducted to arrive at profit. Contribution is helpful in determination of profitability of the products. When there are two or more products, the product having more contribution is more profitable.

For example, the following are the three products with selling price and cost details :

Particulars  A B C
Selling Price p.u. (₹) 100 150 200
Variable Cost p.u. (₹) 50 70 100
Contribution p.u. (₹) 50 80 100

In the above example, one can say that the Product C is more profitable because, it has higher contribution. This proposition of product having higher contribution is more profitable is valid, as long as, there are no limiting factor.

Breakeven point

Contribution is so called because it contributes initially towards fixed costs (which is for a particular period and remains fixed within a relevant range) and then towards profit. As sales revenues grow from zero, the contribution also grows until it just covers the fixed costs. This is the breakeven point where neither profits nor losses are made. Thus, it is obvious that to break even, the amount of contribution must be exactly equal to the fixed costs. Thus, once the contribution per unit is calculated3, the number of units required to break even can be calculated as follows:

Breakeven point in units = Fixed costs / Contribution per unit

Example 2

Suppose that ASA Ltd. manufactures a particular fountain pen called ASA Durga, incurring variable costs of ₹30 per unit and fixed costs of ₹20,000 per month. If the product sells for ₹50 per unit, then the breakeven point can be calculated as follows:

Breakeven point in units = ₹ 20,000 / ₹ (50 – 30)  = 1000 units per month

This implies that if ASA Ltd. manufactures 1000 units of the fountain pen called ASA Durga then the income statement of the manufacturer for the particular month would be as follows;

Particulars (₹) (per unit) (₹) (1000 units)
Sale Price per unit 50  
Variable cost per unit 30  
Contribution per unit    20
Total contribution (for 1000 units)   20,000
Fixed cost for the month   20,000
Profit   Nil

Thus ASA Ltd. breaks even (no profit/no loss) at 1000 units per month.

It is obvious that;

Break-even point (in Amount) = Break-even point (in units) × Selling price per unit

In the above example, the Break-even point (in Amount) of ASA Ltd. is

 = Break-even point (in units) × Selling price per unit  = 1000 units × ₹ 50.00 = ₹ 50,000.00

Thus ASA Ltd. breaks even (no profit/no loss) when it’s sales revenue per month is ₹ 50000. 


4 Margin of Safety

The margin of safety is the difference between the expected level of sales and the breakeven point. It is a reflection of the cushion. The larger the margin of safety, the more likely a profit will be made, i.e. if sales start to fall there is more leeway before the organisation begins to incur losses.

In the above example if for a particular month ASA Ltd. forecasts sales to be 1,700 units, the margin of is calculated as:

Margin of safety = projected sales – breakeven point

Margin of safety= 1700 – 1000 =700 units or 41% of Sales [(700 / 1700) × 100 ]

The margin of safety should be expressed as a percentage of projected sales to put it in perspective. To quote a margin of safety of 700 units without relating it to the projected sales figure is not giving the full picture.

The margin of safety might also be expressed as a percentage of the breakeven value, that is, 70 per cent of the breakeven value in this case.

The margin of safety can also be used as one route to a profit calculation. We have seen that the contribution goes towards fixed costs and profit. Once breakeven point is reached the fixed costs have been covered. After the break-even point there are no more fixed costs to be covered and all of the contribution goes towards making profits grow.

In our example the monthly profit from sales of 1,700 units would be ₹14,000 (₹20 per unit contribution × Margin of safety = ₹20 × 700 units). This is so because the Fixed cost of ₹20,000 is covered by ASA Ltd. by selling 1000 units of the ASA Durga in the particular month).

4. Contribution to Sales ratio (C/S) or Profit Volume Ratio (P/V)

The Contribution to Sales ratio (C/S) also referred as the Profit Volume Ratio (P/V) expresses the relationship between contribution to sales.

For example, P/V Ratio may be expressed as follows:

  • P/V Ratio is 1⁄4 th of sales.
  • Sales is 4 times that of contribution.
  • P/V Ratio is 25%.
  • P/V Ratio is 0.25 of sales.

P/V Ratio (C/S ratio)4  = ( contribution per unit  / sals ) × 100

A higher contribution to sales ratio means that contribution grows more quickly as sales levels increase. Once the breakeven point has been passed, profits will accumulate more quickly than for a product with a lower contribution to sales ratio. This ratio is based on the fundamental assumption that unit selling price and unit variable cost remain constant. When there is a change in selling price or variable cost of sales then the P/V ratio changes.

If it is assumed that a unit’s variable cost and selling price remains constant, then the C/S ratio (P/V ratio) will also remain constant.

In the above example, the P/V ratio is calculated as follows:

P/V Ratio (C/S ratio) = ( Contribution per unit / Selling price per unit ) × 100 
                                    = ( ₹ 20 / ₹ 50 ) × 100 = 40%

Or,  

P/V Ratio (C/S ratio) = ( Total Contribution / Total Sales ) × 100

                                   =  ( 20 000 / 50 000 ) × 100 = 40 %

⸫ The Breakeven point (₹) = Fixed Cost / P / V  Ratio

In the above example,

= Fixed cost / P/V Ratio = 20,000 / 40% = ₹ 50,000

Thus, ASA Ltd. breaks even (no profit/no loss) when it’s sales revenue per month is ₹50,000

There are situations when data for two periods is given and the per unit sale price or per unit variable cost of sales is not given then a modified version of the ratio is used. In such case the ratio is given as:

P/ V Ratio = ( change in contribution / change in sales ) × 100

Or, P/ V Ratio5 = ( Change in Profit / Change in Sales ) × 100

5. Variable Cost Ratio

The variable cost ratio is a cost accounting tool used to express a company’s variable production costs as a percentage of its net sales. The primary motive of calculating the ratio is to consider costs that may be subject to variations with the changes in production levels and compare them to the amount of revenues generated by the sales of that particular cycle of production.

The formula for the calculation of the variable cost ratio is as follows:

Variable Cost Ratio = Variable Cost / Net Sales

An alternate formula is given below:

Variable Cost Ratio = 1 – Contribution Margin

Variable Cost Ratio6  = 1 – P/V Ratio.

If P/V ratio is 40% (0.4). This implies that the Variable Cost ratio is 1 – 0.4 = 0.6 or 60%

6. Sales to earn target profit

Besides being able to determine the break-even point, CVP analysis determines the sales required to attain a particular income level or target profit. There are two ways in which target net income can be expressed:

  1. As a specific rupee amount
  2. As a percentage of sales

As a specific rupee amount – As a specific rupee amount, the cost-volume equation specifying target profit is given as,

Sales = VC + FC + target profit

If q = volume in units, the above relationship can be rewritten as,

pq = uq + FC + target profit

Where,

p = sale price per unit

q = quantity sold

u = Variable cost per unit

The above equation can be written as,

q(p – u) = FC + target profit

Here7 (p – u) = contribution per unit

⇒ q = ( FC + target profit ) / (p – u) 

⇒ target profit sales volume = ( FC + target profit ) / contribution per unit

Specifying target profit as a percentage of sales, the cost-volume equation is,

pq = uq + FC + % (pq)

⇒ q =  FC / (p − u) − % (p)

⇒ q = FC / per unit contribution – profit as a % of unit sale price

Example 3

Suppose that ASA Ltd. manufactures a student level fountain pen and sales each fountain pen @ ₹25 per unit, the variable cost of sales of each fountain pen is ₹10 each and the fixed cost for a month is ₹15,000.

assume that ASA Ltd. wishes to attain:

 Case 1. A target profit of ₹15,000 before tax

 Case 2. A target income of 20% of sales

Now,

In Case 1, target profit sales volume (in units) required is,

Check,  qtarget profit = Fixed cost + Target profit / ( p -  u ) = 15,000 + 155 000 / ( 25 - 10 ) = 2,000 units

at 2000 units the income statement is:

  (`)
Sales @ `25 per unit 50,000
Less: Variable cost @ `10 per unit 20,000
Contribution 30,000
Less: Fixed Cost 15,000
Target profit 15,000

In Case 2, the target income volume required is,
⇒ q =  FC /  (p - u) – % (p)

⇒ q = 15000 / (25 - 10) - (20%  25 )

q = 15000 / (15 - 5) = 1500 units

Check,

at 1500 units, the income statement is:

  (`)
Sales @ `25 per unit 37,500
Less: Variable cost @ `10 per unit 15,000
Contribution 22,500
Less: Fixed Cost 15,000
Target profit 7,500

Profit is targeted at 20% of sales = 20% of 37,500 = `7,500 (as calculated in the above income statement).

7. Break-even analysis

Break-even analysis, a branch of CVP analysis, determines the break-even sales, which is the level of sales at which total costs equal total revenue. It refers to the identifying of the point where the revenue of the company starts exceeding its total cost i.e., the point when the project or company under consideration will start generating the profits by the way of studying the relationship between the revenue of the company, its fixed cost, and the variable cost. The break-even point, the point of no profit and no loss, provides managers with insights into profit planning. It can be computed in three different ways:

  1. The equation approach
  2. The contribution approach
  3. The graphical approach

(i) The Equation Approach is based on the cost-volume equation, which shows the relationships among sales, variable and fixed costs, and profit:

S = VC + FC + Profit

Where,

S = Sales revenue

VC = total fixed cost

FC = total fixed cost

At the break-even sales volume,

S = VC + FC + 0 (by definition)

If q = volume in units, the above relationship can be rewritten as

pq = uq + FC

Where,

p = sale price per unit

q = quantity sold

u = Variable cost per unit

To find the break-even point in units, simply solve the equation for q.

Example 4

If it is assumed that ASA Ltd. manufactures a student level fountain pen and sales each fountain pen @ `25 per unit, the variable cost of sales of each fountain pen is `10 each and the fixed cost for a month is `15,000.

We know,

At the break-even sales volume,

S = VC + FC + 0.  

And

If q = volume in units, the above relationship can be rewritten as,

pq = uq + FC

Where,

p = sale price per unit

q = quantity sold

u = Variable cost per unit

Therefore,

25 × q = 10 × q + 15000

or, 15 q = 15,000

or, q = 1000 units

Therefore, ASA Ltd. breaks even at a sales volume of 1,000 units.

(ii) The Contribution Margin Approach, another technique for computing the break-even point, is based on solving the cost-volume equation stated earlier.  

Solving the equation, pq = uq + FC for q yields:

qBE

= p − u = Contribution per unit
Here qBE = break-even unit sales volume
If the break-even point is desired in terms of Rupees, then 
Break – even point in Rupees = Break-even point in units × Unit sales price
Break – even point in Rupees = Fixed Cost 
P / V  Ratio
8. Angle of Incidence 
The angle formed at the break-even point by the intersection of the sales line and the total cost line is known as 
the angle of incidence. It should be the aim of the management to have a wider angle. The size of the angle indicates 
the rate of profit earned after break-even point. A wider angle means a high rate of profit accruing after the fixed 
costs are absorbed. On the contrary, a narrow angle means a relatively low rate of profit indicating that variable 
costs constitute a large part of cost of sales.
(iii) The Graphical Approach is based on the so-called break-even chart as shown in Fig. 6.1. Sales revenue, 
variable costs, and fixed costs are plotted on the vertical axis, while volume, x, is plotted on the horizontal 
axis. The break-even point is the point where the total sales revenue line intersects the total cost line. The 
chart can also effectively report profit potentials over a wide range of activity. The profit-volume (P--V) 
chart, as shown in Fig. 6.2, focuses more directly on how profits vary with changes in volume. Profits are 
plotted on the vertical axis, while units of output are shown on the horizontal axis. Note that the slope of 
the chart is the unit contribution margin. The main advantage of the profit–volume chart is that it is capable 
of depicting clearly the effect on profit and breakeven point of any changes in the variables.

Ruchika Saboo An All India Ranker (AIR 7 - CA Finals, AIR 43 - CA Inter), she is one of those teachers who just loved studying as a student. Aims to bring the same drive in her students.

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