Gross Profit vs Gross Margin: Rupees Against Percentage

Gross profit is a quantity of rupees and gross margin is a rate. Anjani Stationers earned Rs 1,21,50,000 of gross profit at a gross margin of 45.0 per cent. The two can move in opposite directions, and when they do, each is telling the truth about a different question: the rupees say how much there is to cover everything else, and the rate says how much of each sale survived.

Underneath that sits the following. Gross profit and gross margin are built from exactly the same two numbers, revenue and the cost of what was sold, and they are the two different things that can be done with a pair of numbers. Subtraction is one, and it leaves an amount. Division is the other, and it leaves a proportion. Subtraction answers how much. Division answers how much out of how much. Nothing has been lost or added between the two, and yet they can point in opposite directions on the very same set of accounts. No other pair on an income statement generates so many confused arguments.

The confusion is worth taking seriously because both figures are quoted constantly and neither is ever labelled with the question it answers. A press release quotes the rupees. An analyst note quotes the rate. Both are drawn from the same filing, both are arithmetically correct, and a reader holding only one of them can walk away with a picture that the other would have corrected in a sentence. Both measures are computed below from one pair of figures, then the two cases where they disagree are worked, then each is tested against the bills and against a business of a very different size.

Neither measure can be understood by contrast with the other. Each has to be held firmly on its own first. Most explanations of this pair open with the contrast, and a reader who does not already hold both definitions ends up remembering a slogan rather than an arithmetic.

What is gross profit, in rupees?

Gross profit is revenue less the cost of the goods that were sold, expressed as an amount of money. The definition ends there. Gross profit is a levelA quantity measured in units of something, here rupees. A level answers how much there is. A level is the opposite kind of number from a rate. A rate answers how much per something else., meaning a quantity that could in principle be counted out on a table, and it sits at the top of the income statement because the cost of the goods is the first cost every business has to get past.

A case small enough to hold in mind makes the point. A woman sells idlis from a cart outside an office gate. In a day she takes Rs 4,000 from customers. The rice, the dal and the gas that went into the idlis she actually sold cost her Rs 1,800. Her gross profit for the day is Rs 2,200. The Rs 2,200 is not hers to keep. It is the pile of money from which she has to pay the boy who helps her, the rent on the cart's parking spot, the loan instalment on the pressure cooker, and only then whatever is left is what the day earned her. Gross profit is not what a business made; it is the money available to pay for everything the business does after the goods themselves have been paid for.

Anjani Stationers Private Limited runs the same shape at a much larger size. In year two it sold notebooks and exercise books for Rs 2,70,00,000 and the paper in the notebooks it sold cost Rs 1,48,50,000. Subtract, and gross profit is Rs 1,21,50,000. In year one revenue was Rs 2,40,00,000 against a cost of Rs 1,32,00,000, giving gross profit of Rs 1,08,00,000. Gross profit rose by Rs 13,50,000 between the two years. The extra Rs 13,50,000 is real and countable, and every rupee of it is available to pay for everything else.

What the Rs 1,21,50,000 has to carry in year two is the part that makes the rupee figure matter. Look at the list. Employee benefits took Rs 42,00,000. Other operating costs took Rs 26,00,000. Depreciation and amortisation took Rs 12,00,000. The three come to Rs 80,00,000, and what survives them is earnings before interest and tax of Rs 41,50,000. Then finance cost of Rs 3,50,000 and tax of Rs 8,00,000, and profit after tax is Rs 30,00,000. Every one of those deductions is stated in rupees, and every one of them is taken out of the gross profit rupees rather than out of the gross margin percentage.

What is gross margin, and of what?

Gross margin is gross profit divided by revenue, expressed as a percentage. Gross margin is a rateA number expressed per unit of something else, so it always has a hidden phrase after it. Until it is said what the forty five per cent is of, forty five per cent is meaningless., meaning it is not a quantity of anything and cannot be counted out on a table. A rate is a statement about the relationship between two amounts, and it carries a hidden phrase that has to be said out loud: gross margin is a percentage of revenue.

Back to the idli cart. Rs 2,200 of gross profit on Rs 4,000 of takings is 55 per cent. The 55 per cent tells the woman that out of every hundred rupees a customer hands over, fifty five survives the ingredients. The 55 per cent says nothing at all about how many hundred rupees came in. She could have a 55 per cent margin on a busy day and a 55 per cent margin on a day when three people bought lunch, and the second day would not pay the boy who helps her. A rate states what happens to each rupee of sale and is completely silent about how many rupees of sale there were.

A margin computed against a different base is a different number wearing the same name, so the denominatorThe number divided by, which sits below the line in a fraction. When the denominator changes, the answer changes even when the number above the line has not moved at all. matters more than anything else in that sentence. Gross margin uses revenue as its denominator, always. Not cost, not gross profit, not the previous year's revenue. If somebody quotes a margin without naming the base, the figure cannot be checked and should not be repeated.

Work it for both of Anjani Stationers' years. Year one: Rs 1,08,00,000 divided by Rs 2,40,00,000 gives 0.450, or 45.0 per cent. Year two: Rs 1,21,50,000 divided by Rs 2,70,00,000 gives 0.450, or 45.0 per cent. The rate did not move by a hundredth of a point. Out of every hundred rupees a school paid Anjani Stationers in either year, forty five survived the paper.

How can gross profit rise while gross margin stands still?

Now that both measures are defined and both are worked, the two can go in the same sentence. Anjani Stationers' gross profit rose Rs 13,50,000 between year one and year two while its gross margin did not move at all, and there is nothing strange about that once the two growth rates underneath are set out.

Revenue rose from Rs 2,40,00,000 to Rs 2,70,00,000. The rise is Rs 30,00,000 on Rs 2,40,00,000, or 12.5 per cent. Cost rose from Rs 1,32,00,000 to Rs 1,48,50,000. The rise is Rs 16,50,000 on Rs 1,32,00,000, also 12.5 per cent. When revenue and cost grow at exactly the same rate, the rate between them cannot change and the gap between them must grow. So the percentage held at 45.0 while the rupees added Rs 13,50,000. The two facts are not in tension. The two are the same fact stated in two units.

A growing business with stable buying and stable pricing produces exactly this pattern year after year, so it is the ordinary case and worth naming as such. Nothing interesting has happened in Anjani Stationers' gross line. Everything interesting in that second year happened below it, in costs the gross margin never touches, and neither gross profit nor gross margin can see any of it.

What does it look like when the two move in opposite directions?

In the years Anjani Stationers actually reported the two measures agreed, so those years are the easy case. The cases worth working are the ones where they disagree, and they disagree in both directions. Neither case happened. Both are computed from the same business at a different revenue and a different cost, and both are worked to the rupee so that each can be checked.

Take case A first. Case A is more rupees on a thinner rate. Suppose Anjani Stationers won a large volume order at a lower price and revenue reached Rs 3,00,00,000 with a cost of Rs 1,71,00,000. Gross profit is Rs 1,29,00,000, Rs 7,50,000 more than the Rs 1,21,50,000 the business actually reported. Gross margin is Rs 1,29,00,000 divided by Rs 3,00,00,000, or 43.0 per cent, 2.0 percentage pointsThe plain difference between two percentages. A move from 45.0 per cent to 43.0 per cent is a fall of two percentage points, not a fall of two per cent. A fall of two per cent would be a much smaller move. below the 45.0 per cent it actually reported. More money and a thinner sale, at the same time, both true.

Case B runs the other way. Suppose instead that Anjani Stationers lost a low priced volume customer and kept only its better priced school work, so revenue fell to Rs 2,20,00,000 with a cost of Rs 1,17,70,000. Gross profit is Rs 1,02,30,000, Rs 19,20,000 less than reported. Gross margin is Rs 1,02,30,000 divided by Rs 2,20,00,000, or 46.5 per cent, 1.5 points above what was reported. Better sales and less money, at the same time, both true.

Neither case is a contradiction, and a reader watching only one of the two figures will misread exactly one of them. Watch gross margin alone and case A looks like deterioration when there is Rs 7,50,000 more money in the business than there was. Watch gross profit alone and case B looks like deterioration when every rupee of sale is now doing more work than it did. The measures are not competing. The two are reporting on two different things that happened at once.

Which of the two shows whether the bills are covered?

The bills are where the distinction earns its keep, and the answer turns on a fact so plain that it is usually skipped. Every cost that sits below the gross line is quoted in rupees, not in percentages, so only the rupee measure can be tested against them. Nobody sends a landlord a percentage. Nobody pays a salary in basis pointsOne hundredth of a percentage point, so a hundred basis points make one point. Basis points are a way of talking about very small movements in a rate without a string of decimals.. A rent agreement says Rs 4,00,000 a year, an audit fee says a number, a loan instalment says a number, and none of those numbers gets smaller because a margin improved.

Think about a household for a moment. A woman moves from a job paying Rs 60,000 a month with a two hour commute to one paying Rs 42,000 a month five minutes from home. Her earnings per hour of her life have gone up. Her rent has not moved. Whether the second job works depends entirely on the rupees against the rupees. The improved rate is real, and it cannot be handed to a landlord.

Anjani Stationers has a fixed costA cost that does not move when volume moves, at least within the range a business normally operates in. Rent, salaries, insurance and depreciation are the usual examples. base of Rs 74,00,000 in year two, made up of employee benefits of Rs 42,00,000, the rent, insurance, audit fee and warehouse costs inside other operating costs of Rs 20,00,000, and depreciation and amortisation of Rs 12,00,000. The split into fixed and variable is an estimate an analyst makes and not something any Indian company publishes, so treat the Rs 74,00,000 as a stated assumption rather than a disclosed fact. Take it as given and put the three positions against it.

As reported, gross profit of Rs 1,21,50,000 leaves Rs 47,50,000 of headroomWhat is left over after a claim on the money has been met. Here it is gross profit less the fixed costs that have to be paid whatever the business sells. above the Rs 74,00,000. Case A, with the margin 2.0 points lower, has gross profit of Rs 1,29,00,000 and leaves Rs 55,00,000, Rs 7,50,000 more headroom than the business actually had. Case B, with the margin 1.5 points higher, has gross profit of Rs 1,02,30,000 and leaves Rs 28,30,000, Rs 19,20,000 less. The case with the better rate has barely more than half the headroom of the case with the worse one, and no reading of the percentages alone could have shown that.

One honest footnote on those three headroom figures. Carriage outward and packing, roughly Rs 6,00,000 at year two's revenue, still have to come out of the headroom and they move with volume, so year two's Rs 47,50,000 less that Rs 6,00,000 is the Rs 41,50,000 of earnings before interest and tax the business actually reported. The same deduction scaled to each hypothetical revenue is about Rs 6,67,000 in case A and about Rs 4,89,000 in case B, both rounded to the nearest thousand. The ranking does not change. Case A still has the most left and case B the least.

Which one should be compared between two businesses?

Put Anjani Stationers beside a much larger notebook manufacturer with revenue of Rs 3,00,00,00,000 and gross profit of Rs 1,05,00,00,000. In rupees the comparison is useless: one business has more than eighty six times the gross profit of the other, and every rupee bar drawn makes the smaller one invisible. In rates the comparison works immediately: 45.0 per cent against 35.0 per cent, two numbers of the same size that can sit in the same sentence. The rate travels between businesses of different sizes and the rupees do not. No stronger argument for quoting a margin exists.

But the rate has a weakness the rupees do not share, and it is the reason neither of the two can be named the winner. A margin is only as stable as the cost line underneath it, and the cost line is a classification decision. Anjani Stationers' published 45.0 per cent is computed on cost of materials consumed. The test about location and condition requires the binding line supervisor's Rs 2,50,000 to sit above the gross line. Moving it there leaves the same business reporting 44.1 per cent on identical trading. Nothing about the business changed. A rupee moved between two lines, and the rate moved almost a full point.

Gross profit is a subtotalA running total struck partway down a statement rather than a line of its own. Where the line is drawn is a presentation choice, and moving it moves everything above it. of the same statement whichever way the classification runs, and a reader comparing rupees already knows they are looking at one business rather than two. So the rupees are far less sensitive to a reclassification. So the honest answer is that comparing rates needs the classification checked before the comparison means anything, and comparing rupees needs the difference in scale acknowledged before the comparison means anything. Neither is free.

Why do the two answer different questions?

Strip everything else away and the pair reduces to two questions that sound similar and are not. How much is there? is a rupee question, and how much of each sale survives? is a rate question, and most arguments about margins are two people answering different questions at each other.

The rupee question is asked by anyone who has to pay something out of the answer. A lender asks it because a loan instalment is a rupee amount. A landlord asks it. A payroll asks it every month. The rate question is asked by anyone who is comparing, projecting or diagnosing. An analyst asks it because a rate can be carried across to another business or another year. Vaidehi Rao, sitting inside Anjani Stationers as its finance controller, asks it when she wants to know whether her buying and her pricing have shifted relative to each other.

The reason neither question can be answered with the other's number is that the two carry different information about the same event. A rate is a ratio, and every ratio throws scale away. Throwing away scale is not a flaw. Throwing away scale is the entire purpose, and it is what makes two businesses comparable. But the scale cannot be recovered afterwards, and a business paying rent needs the scale.

How do a lender, an analyst and a controller each use the pair?

The same pair does three different jobs, and none of them is the job the other two are doing. Watch three people work with the same two numbers.

A facility is sized in rupees and an instalment is paid in rupees, so a lender assessing a working capital limit for Anjani Stationers starts with the rupees. Rs 1,21,50,000 of gross profit against Rs 74,00,000 of fixed costs is what tells the lender there is Rs 47,50,000 of room before anything is available to service debt at all. The lender looks at the rate second, and for a different reason. A margin that has held at 45.0 per cent across two years suggests the rupee figure is not about to move sharply. The rate serves as a statement about the reliability of the first number rather than as a number in its own right.

An equity analyst does the reverse. The analyst is holding several notebook businesses and needs figures that can sit on one axis, so the rate comes first. Anjani Stationers at 45.0 per cent and a larger maker at 35.0 per cent is a readable difference. But the analyst has to check the classification before believing it. A business that charges its production supervisors below the gross line reports a higher margin than one that charges them above it while trading identically. The Rs 2,50,000 that moves Anjani Stationers from 45.0 to 44.1 per cent is exactly that difference.

Vaidehi Rao, as Anjani Stationers' finance controller, uses both in the same meeting and keeps them separate. When the board asks whether paper is getting more expensive relative to what the notebooks sell for, she gives the rate. Proportion is the question, and 45.0 per cent in both years answers it. When the board asks whether there is money to hire two more people, she gives the rupees. Two salaries are a rupee amount, and no percentage will pay them. The discipline is not choosing one measure; it is naming the question before reaching for a number.

The whole worked instance in one place

All amounts in rupees. Over the two years Anjani Stationers actually reported, cost grew at exactly the rate revenue did, so the two measures agreed. The interesting cases are precisely the ones where they do not agree, and both of those are hypothetical, computed on the same business at a revenue it did not reach.

Anjani Stationers Private Limited and Vaidehi Rao are invented.
Educational material. Not advice on any investment, tax, budget or market position.