Suppose — as we have gone on assuming all through this Part — that in each particular sphere of production the mass of profit taken there is exactly equal to the surplus-value which the whole capital invested there produces. Even so, the bourgeois will not take profit to be the same thing as surplus-value — that is, as unpaid surplus labour. And he will not, for the following reasons:
(1) In the process of circulation the bourgeois forgets about the process of production. He takes the realizing of the commodities' value — getting that value in money by selling them, their surplus-value included — for the making of that surplus-value.
(2) Assume the degree of exploitation of labour is the same throughout. Set aside, too, any modifications brought in by the credit system, any mutual cheating and swindling among capitalists, and any advantage from a favourable choice of market. Even so, as we have seen, the rate of profit can vary a great deal, depending on whether raw material was bought cheaper or dearer, with more or less specialist knowledge; whether the machinery in use is productive, well suited to its purpose and cheap; whether the various stages of the production process are more or less perfectly organized, waste is avoided, and management and supervision are simple and effective, and so on.
In short: given the surplus-value produced on a certain variable capital, whether this same surplus-value is expressed in a higher or a lower rate of profit — and so whether it delivers a greater or a smaller mass of profit — still depends a great deal on the business acumen of the individual, either the capitalist himself or his managers and salespeople.
Take the same £1,000 of surplus-value, the product of £1,000 in wages, in two businesses. In business A it is set against £9,000 of constant capital; in business B, against £11,000. In case A: p' = 1,000/10,000 = 10 per cent. In case B: p' = 1,000/12,000 = 8⅓ per cent. The total capital in A produces proportionally more profit than in B, because the rate of profit is higher there, even though in both cases the variable capital advanced is £1,000 and the surplus-value drawn from it is also £1,000, so the same number of workers is exploited to the same degree in both.
This difference in how the same mass of surplus-value is expressed — that is, this difference in the rates of profit, and so in the profits themselves, with the exploitation of labour equal — can spring from other sources too. But it can also arise purely and simply from the difference in business skill with which the two businesses are run. And this is what misleads the capitalist — convinces him — that his profit is owed not to the exploitation of labour but, at least in part, to other circumstances independent of that, and above all to his own individual doing.
What has been developed in this first Part proves false Rodbertus's view that a change in the size of capital has no effect on the ratio between profit and capital, and so none on the rate of profit. Ground-rent, on his account, is different: there the area of land may stay the same while the rent grows. His reason: when the mass of profit grows, the mass of capital it is reckoned against grows with it, and the other way round.
This is true only in two cases. First: suppose all other circumstances, in particular the rate of surplus-value, stay the same, and a change occurs in the value of the commodity that serves as money. (The same holds for a merely nominal change in value, a rise or fall in tokens of value — paper money and the like, standing in for the money commodity — other things being equal.) Let the total capital be £100 and the profit £20, so the rate of profit is 20 per cent. Now suppose the value of gold falls, or rises, by 100 per cent. If it falls, the same capital that was previously worth £100 will now be worth £200, and the profit will have a value of £40 — that is, it will show up in this money expression instead of the earlier £20. If gold rises instead, the capital falls to a value of £50, and the profit shows up in a product worth £10. But in both cases, 200 : 40 = 50 : 10 = 100 : 20 = 20 per cent. In all these cases, though, there would in fact have been no change in the size of the capital value at all — only in the money expression of the same value and the same surplus-value. So s/C — the rate of profit — could not be affected either.
The other case is where a real change in value does take place, but this change is not accompanied by any change in the ratio of v to c. That is: with the rate of surplus-value constant, the ratio between the capital laid out in labour-power and the capital laid out in means of production stays the same. Variable capital is taken here as an index of the labour-power set in motion. Under these conditions, whether we have C, or nC, or C/n — say, 1,000, or 2,000, or 500 — the profit, at a 20 per cent rate of profit, will be 200 in the first case, 400 in the second, 100 in the third; but 200/1,000 = 400/2,000 = 100/500 = 20 per cent. That is, the rate of profit stays unchanged here, because the composition of the capital stays the same and is not touched by the change in its size. An increase or decrease in the mass of profit, then, shows here only an increase or decrease in the size of the capital applied.
So in the first case, the change in the size of the capital applied is only an apparent one; in the second case, a real change in size takes place, but no change in the organic composition of the capital, that is, in the ratio of its variable part to its constant part.
But apart from these two cases, a change in the size of the capital applied is either the consequence of a prior change in the value of one of its components — and with that, of a change in the relative size of those components, unless the surplus-value itself changes along with the variable capital — or else this change in size, as with operations on a larger scale or the introduction of new machinery, is itself the cause of a change in the relative size of its two organic components. In all these cases, then, other things being equal, a change in the size of the capital applied must be accompanied by a simultaneous change in the rate of profit.
A rise in the rate of profit always comes from surplus-value being increased, relatively or absolutely, in relation to its costs of production — that is, to the total capital advanced — or from the gap between the rate of profit and the rate of surplus-value being narrowed.
Fluctuations in the rate of profit are also possible independently of any change in the organic components of the capital or in the absolute size of the capital. They come about in this way: the value of the capital advanced, whatever form it exists in, fixed or circulating, rises or falls because the labour-time needed to reproduce it has risen or fallen — a change that comes about independently of the capital already in existence.
The value of every commodity, and so also of the commodities that make up the capital, is determined not by the necessary labour-time it itself contains, but by the socially necessary labour-time required to reproduce it. This reproduction can take place under conditions that make it harder or easier than the conditions of the original production. If, under the changed conditions, it generally takes twice as much time, or conversely only half as much time, to reproduce the same material capital, then, with the value of money unchanged, a capital that was previously worth £100 would now be worth £200, or £50, as the case may be.
If this rise or fall in value affected all parts of the capital equally, the profit too would come to be expressed, correspondingly, in double or in only half the sum of money. But if it includes a change in the organic composition of the capital, if it raises or lowers the ratio of the variable to the constant part of the capital, then, other things being equal, the rate of profit will rise where the variable capital grows relatively, and fall where it shrinks relatively. If only the money value of the capital advanced rises or falls, as a result of a change in the value of money, then the money expression of the surplus-value rises or falls in the same proportion. The rate of profit stays unchanged.
Suppose — as we have gone on assuming all through this Part — that in each particular sphere of production the mass of profit taken there is exactly equal to the surplus-value which the whole capital invested there produces. Even so, the bourgeois will not take profit to be the same thing as surplus-value — that is, as unpaid surplus labour. And he will not, for the following reasons:
(1) In the process of circulation the bourgeois forgets about the process of production. He takes the realizing of the commodities' value — getting that value in money by selling them, their surplus-value included — for the making of that surplus-value.
(2) Assume the degree of exploitation of labour is the same throughout. Set aside, too, any modifications brought in by the credit system, any mutual cheating and swindling among capitalists, and any advantage from a favourable choice of market. Even so, as we have seen, the rate of profit can vary a great deal, depending on whether raw material was bought cheaper or dearer, with more or less specialist knowledge; whether the machinery in use is productive, well suited to its purpose and cheap; whether the various stages of the production process are more or less perfectly organized, waste is avoided, and management and supervision are simple and effective, and so on.
In short: given the surplus-value produced on a certain variable capital, whether this same surplus-value is expressed in a higher or a lower rate of profit — and so whether it delivers a greater or a smaller mass of profit — still depends a great deal on the business acumen of the individual, either the capitalist himself or his managers and salespeople.
Take the same £1,000 of surplus-value, the product of £1,000 in wages, in two businesses. In business A it is set against £9,000 of constant capital; in business B, against £11,000. In case A: p' = 1,000/10,000 = 10 per cent. In case B: p' = 1,000/12,000 = 8⅓ per cent. The total capital in A produces proportionally more profit than in B, because the rate of profit is higher there, even though in both cases the variable capital advanced is £1,000 and the surplus-value drawn from it is also £1,000, so the same number of workers is exploited to the same degree in both.
This difference in how the same mass of surplus-value is expressed — that is, this difference in the rates of profit, and so in the profits themselves, with the exploitation of labour equal — can spring from other sources too. But it can also arise purely and simply from the difference in business skill with which the two businesses are run. And this is what misleads the capitalist — convinces him — that his profit is owed not to the exploitation of labour but, at least in part, to other circumstances independent of that, and above all to his own individual doing.
What has been developed in this first Part proves false Rodbertus's view that a change in the size of capital has no effect on the ratio between profit and capital, and so none on the rate of profit. Ground-rent, on his account, is different: there the area of land may stay the same while the rent grows. His reason: when the mass of profit grows, the mass of capital it is reckoned against grows with it, and the other way round.
This is true only in two cases. First: suppose all other circumstances, in particular the rate of surplus-value, stay the same, and a change occurs in the value of the commodity that serves as money. (The same holds for a merely nominal change in value, a rise or fall in tokens of value — paper money and the like, standing in for the money commodity — other things being equal.) Let the total capital be £100 and the profit £20, so the rate of profit is 20 per cent. Now suppose the value of gold falls, or rises, by 100 per cent. If it falls, the same capital that was previously worth £100 will now be worth £200, and the profit will have a value of £40 — that is, it will show up in this money expression instead of the earlier £20. If gold rises instead, the capital falls to a value of £50, and the profit shows up in a product worth £10. But in both cases, 200 : 40 = 50 : 10 = 100 : 20 = 20 per cent. In all these cases, though, there would in fact have been no change in the size of the capital value at all — only in the money expression of the same value and the same surplus-value. So s/C — the rate of profit — could not be affected either.
The other case is where a real change in value does take place, but this change is not accompanied by any change in the ratio of v to c. That is: with the rate of surplus-value constant, the ratio between the capital laid out in labour-power and the capital laid out in means of production stays the same. Variable capital is taken here as an index of the labour-power set in motion. Under these conditions, whether we have C, or nC, or C/n — say, 1,000, or 2,000, or 500 — the profit, at a 20 per cent rate of profit, will be 200 in the first case, 400 in the second, 100 in the third; but 200/1,000 = 400/2,000 = 100/500 = 20 per cent. That is, the rate of profit stays unchanged here, because the composition of the capital stays the same and is not touched by the change in its size. An increase or decrease in the mass of profit, then, shows here only an increase or decrease in the size of the capital applied.
So in the first case, the change in the size of the capital applied is only an apparent one; in the second case, a real change in size takes place, but no change in the organic composition of the capital, that is, in the ratio of its variable part to its constant part.
But apart from these two cases, a change in the size of the capital applied is either the consequence of a prior change in the value of one of its components — and with that, of a change in the relative size of those components, unless the surplus-value itself changes along with the variable capital — or else this change in size, as with operations on a larger scale or the introduction of new machinery, is itself the cause of a change in the relative size of its two organic components. In all these cases, then, other things being equal, a change in the size of the capital applied must be accompanied by a simultaneous change in the rate of profit.
A rise in the rate of profit always comes from surplus-value being increased, relatively or absolutely, in relation to its costs of production — that is, to the total capital advanced — or from the gap between the rate of profit and the rate of surplus-value being narrowed.
Fluctuations in the rate of profit are also possible independently of any change in the organic components of the capital or in the absolute size of the capital. They come about in this way: the value of the capital advanced, whatever form it exists in, fixed or circulating, rises or falls because the labour-time needed to reproduce it has risen or fallen — a change that comes about independently of the capital already in existence.
The value of every commodity, and so also of the commodities that make up the capital, is determined not by the necessary labour-time it itself contains, but by the socially necessary labour-time required to reproduce it. This reproduction can take place under conditions that make it harder or easier than the conditions of the original production. If, under the changed conditions, it generally takes twice as much time, or conversely only half as much time, to reproduce the same material capital, then, with the value of money unchanged, a capital that was previously worth £100 would now be worth £200, or £50, as the case may be.
If this rise or fall in value affected all parts of the capital equally, the profit too would come to be expressed, correspondingly, in double or in only half the sum of money. But if it includes a change in the organic composition of the capital, if it raises or lowers the ratio of the variable to the constant part of the capital, then, other things being equal, the rate of profit will rise where the variable capital grows relatively, and fall where it shrinks relatively. If only the money value of the capital advanced rises or falls, as a result of a change in the value of money, then the money expression of the surplus-value rises or falls in the same proportion. The rate of profit stays unchanged.