Distribution Analysis — Exercise Solutions
Complete solutions for TN State Board Class 11 Economics Chapter 6: Distribution Analysis. Solve every exercise question yourself first, then compare with the solutions below.
How to Use This Page
1. Attempt every question on your own before reading the answer. 2. Compare your answer with the solution given — focus on keywords and structure you may have missed. 3. Note mistakes in a separate notebook and revise those topics from the textbook. 4. Practise the detail answers by writing them out — reading alone is not enough for board exams.
Key Concepts (Quick Recap)
Meaning of Distribution
| Concept | Definition |
|---|---|
| Distribution | The process of sharing national income among the four factors of production |
| Functional Distribution | Studies how much each factor class receives — rent to land, wages to labour, interest to capital, profit to entrepreneur |
| Personal Distribution | Studies how national income is distributed among individuals or households regardless of the source |
Factors of Production and Their Rewards
| Factor | Meaning | Reward |
|---|---|---|
| Land | Free gift of nature; includes soil, minerals, water, climate | Rent |
| Labour | Physical and mental effort of human beings in production | Wages |
| Capital | Man-made wealth used to produce more wealth | Interest |
| Entrepreneur | Organises the other three factors, bears risk and uncertainty | Profit |
Theories of Wages
| Theory | Propounded By | Key Idea |
|---|---|---|
| Subsistence Theory | David Ricardo | Wages tend to settle at the subsistence level needed to keep the worker alive and working |
| Wage Fund Theory | Adam Smith / J.S. Mill | Wages are determined by the ratio of wage fund to the number of workers |
| Residual Claimant Theory | J.B. Walker | Wages are the residue left after paying rent, interest, and profit |
| Marginal Productivity Theory | J.B. Clark | Wages equal the value of the marginal product of labour under perfect competition |
| Bargaining Theory | Davidson | Wages are determined by the relative bargaining power of workers and employers |
Theories of Rent
| Theory | Propounded By | Key Idea |
|---|---|---|
| Ricardian Theory of Rent | David Ricardo | Rent is a differential surplus arising from differences in the fertility of land; rent does not enter price |
| Modern Theory of Rent | Modern economists | Rent is the difference between actual earnings and transfer earnings of a factor; applies to all factors, not just land |
| Quasi-rent | Alfred Marshall | Temporary rent earned by fixed factors in the short run due to sudden increase in demand; disappears in the long run |
Theories of Interest
| Theory | Propounded By | Key Idea |
|---|---|---|
| Time Preference Theory | Irving Fisher | Interest is the reward for abstaining from present consumption; savers prefer present goods over future goods |
| Loanable Funds Theory | Knut Wicksell | Interest rate is determined by the demand for and supply of loanable funds in the money market |
| Liquidity Preference Theory | J.M. Keynes | Interest is the reward for parting with liquidity; rate is determined by demand for money (L) and supply of money (M) |
Theories of Profit
| Theory | Propounded By | Key Idea |
|---|---|---|
| Risk-bearing Theory | F.B. Hawley | Profit is the reward for bearing business risks; without risk, there is no profit |
| Innovation Theory | Joseph Schumpeter | Profit arises from innovations — new products, methods, markets, or organisational changes |
| Uncertainty-bearing Theory | Frank H. Knight | Profit is the reward for bearing insurable and uninsurable uncertainty; only uninsurable uncertainty earns profit |
Transfer Earnings and Economic Rent
| Concept | Definition |
|---|---|
| Transfer Earnings | The minimum payment necessary to keep a factor in its present use; what the factor could earn in its next best alternative |
| Economic Rent | The surplus earned by a factor above its transfer earnings; actual earnings minus transfer earnings |
| Total Earnings | Transfer Earnings + Economic Rent |
| Factor Supply Elasticity | Transfer Earnings | Economic Rent |
|---|---|---|
| Perfectly elastic supply | All earnings are transfer earnings | Zero economic rent |
| Perfectly inelastic supply | Zero transfer earnings | All earnings are economic rent |
| Less than perfectly elastic | Part earnings are transfer earnings | Part earnings are economic rent |
I. Choose the Best Answer (MCQs)
Q1. The reward paid to land is called ____
(a) Wages (b) Interest (c) Rent ✓ (d) Profit
Q2. Functional distribution studies ____
(a) How income is shared among individuals (b) How much each factor class receives ✓ (c) How taxes are distributed (d) How wealth is inherited
Q3. According to the marginal productivity theory, the price of a factor equals its ____
(a) Average product (b) Total product (c) Value of marginal product ✓ (d) Marginal cost
Q4. The subsistence theory of wages was propounded by ____
(a) Adam Smith (b) J.B. Clark (c) David Ricardo ✓ (d) J.S. Mill
Q5. According to the wage fund theory, wages depend on ____
(a) Marginal productivity of labour (b) The ratio of wage fund to the number of workers ✓ (c) Subsistence level of the worker (d) Bargaining power of trade unions
Q6. Quasi-rent was propounded by ____
(a) David Ricardo (b) Alfred Marshall ✓ (c) J.M. Keynes (d) Irving Fisher
Q7. According to Keynes, the interest rate is determined by ____
(a) Time preference (b) Marginal productivity of capital (c) Liquidity preference and supply of money ✓ (d) Demand for and supply of loanable funds
Q8. Profit as a reward for risk-bearing was stated by ____
(a) Joseph Schumpeter (b) Frank H. Knight (c) F.B. Hawley ✓ (d) David Ricardo
Q9. Innovation theory of profit was propounded by ____
(a) F.B. Hawley (b) Joseph Schumpeter ✓ (c) Frank H. Knight (d) Alfred Marshall
Q10. Economic rent is the difference between ____
(a) Total revenue and total cost (b) Actual earnings and transfer earnings ✓ (c) Wages and subsistence level (d) Interest and profit
Q11. When the supply of a factor is perfectly inelastic, ____
(a) Economic rent is zero (b) The entire earnings are transfer earnings (c) The entire earnings are economic rent ✓ (d) Transfer earnings equal economic rent
Q12. The three motives for liquidity preference according to Keynes are ____
(a) Consumption, investment, and saving (b) Transaction, precautionary, and speculative ✓ (c) Production, distribution, and consumption (d) Earning, spending, and hoarding
II. Fill in the Blanks
1. The reward paid to land is called rent. 2. The reward paid to labour is called wages. 3. The reward paid to capital is called interest. 4. The reward paid to the entrepreneur is called profit. 5. Functional distribution studies how national income is shared among factors of production. 6. Personal distribution studies how national income is shared among individuals or households. 7. According to the marginal productivity theory, the price of a factor equals the value of its marginal product (VMP). 8. The subsistence theory of wages was propounded by David Ricardo. 9. The wage fund theory was propounded by Adam Smith (and J.S. Mill). 10. The residual claimant theory of wages was propounded by J.B. Walker. 11. Quasi-rent was introduced by Alfred Marshall. 12. According to Keynes, interest is the reward for parting with liquidity. 13. Innovation theory of profit was propounded by Joseph Schumpeter. 14. Economic rent = Actual earnings minus transfer earnings. 15. When the supply of a factor is perfectly elastic, economic rent is zero.
III. True or False (with corrections for false statements)
Q1. Functional distribution studies how national income is shared among individuals.
False. Functional distribution studies how national income is shared among the factors of production (land, labour, capital, and entrepreneur). Personal distribution studies how income is shared among individuals.
Q2. Rent is the reward paid to labour.
False. Rent is the reward paid to land. The reward paid to labour is wages.
Q3. According to the marginal productivity theory, factors are paid equal to the value of their marginal product under perfect competition.
True. Under perfect competition, the marginal productivity theory states that each factor is rewarded at a rate equal to the value of its marginal product (VMP = MP x Price). This ensures no factor is overpaid or underpaid.
Q4. Quasi-rent is a permanent income like land rent.
False. Quasi-rent is a temporary income that arises in the short run due to a sudden increase in demand for fixed factors. In the long run, supply adjusts and quasi-rent disappears. Land rent, by contrast, is permanent because land is fixed in supply.
Q5. According to Keynes, interest is determined by the demand for and supply of loanable funds.
False. According to Keynes, interest is determined by liquidity preference (demand for money) and the supply of money. The loanable funds theory is a different theory propounded by Knut Wicksell.
Q6. Economic rent is the surplus earned by a factor above its transfer earnings.
True. Economic rent is the difference between a factor's actual earnings and its transfer earnings (the minimum payment needed to keep the factor in its present use). It represents the surplus above the factor's opportunity cost.
Q7. According to the innovation theory, profit is permanent.
False. According to Schumpeter's innovation theory, profit is temporary. It arises from an innovation and disappears when other firms imitate the innovation. Competition eventually erodes the profit earned by the innovator.
Q8. The wage fund theory states that wages depend on the marginal productivity of labour.
False. The wage fund theory states that wages depend on the ratio of the wage fund to the number of workers. The marginal productivity theory of wages, not the wage fund theory, links wages to the marginal product of labour.
IV. Match the Following
Set 1 — Factors of Production and Their Rewards
| Column A | Column B | Answer |
|---|---|---|
| 1. Land | (a) Wages | d — Rent |
| 2. Labour | (b) Interest | a — Wages |
| 3. Capital | (c) Profit | b — Interest |
| 4. Entrepreneur | (d) Rent | c — Profit |
Set 2 — Theories of Wages and Their Authors
| Column A | Column B | Answer |
|---|---|---|
| 1. Subsistence theory | (a) J.B. Walker | b — David Ricardo |
| 2. Wage fund theory | (b) David Ricardo | d — Adam Smith / J.S. Mill |
| 3. Residual claimant theory | (c) J.B. Clark | a — J.B. Walker |
| 4. Marginal productivity theory | (d) Adam Smith / J.S. Mill | c — J.B. Clark |
Set 3 — Theories of Rent
| Column A | Column B | Answer |
|---|---|---|
| 1. Ricardian theory of rent | (a) Temporary rent for fixed factors | b — Rent is a differential surplus |
| 2. Quasi-rent | (b) Rent is a differential surplus | a — Temporary rent for fixed factors |
| 3. Modern theory of rent | (c) Rent = Actual earnings minus Transfer earnings | c — Rent = Actual earnings minus Transfer earnings |
Set 4 — Theories of Interest
| Column A | Column B | Answer |
|---|---|---|
| 1. Time preference theory | (a) J.M. Keynes | b — Irving Fisher |
| 2. Loanable funds theory | (b) Irving Fisher | d — Knut Wicksell |
| 3. Liquidity preference theory | (c) Alfred Marshall | a — J.M. Keynes |
| 4. Quasi-rent | (d) Knut Wicksell | c — Alfred Marshall |
Set 5 — Theories of Profit
| Column A | Column B | Answer |
|---|---|---|
| 1. Risk-bearing theory | (a) Joseph Schumpeter | c — F.B. Hawley |
| 2. Innovation theory | (b) Frank H. Knight | a — Joseph Schumpeter |
| 3. Uncertainty-bearing theory | (c) F.B. Hawley | b — Frank H. Knight |
Set 6 — Key Terms and Definitions
| Column A | Column B | Answer |
|---|---|---|
| 1. Transfer earnings | (a) Surplus above transfer earnings | b — Minimum payment to keep a factor in its present use |
| 2. Economic rent | (b) Minimum payment to keep a factor in its present use | a — Surplus above transfer earnings |
| 3. Quasi-rent | (c) Temporary rent in the short run | c — Temporary rent in the short run |
| 4. VMP | (d) MP x Price of the product | d — MP x Price of the product |
| 5. Contractual rent | (e) Rent agreed upon by contract between landlord and tenant | e — Rent agreed upon by contract between landlord and tenant |
| 6. Functional distribution | (f) Sharing of income among factors of production | f — Sharing of income among factors of production |
V. Answer Briefly (2-mark questions)
Q1. Distinguish between functional distribution and personal distribution.
Functional distribution studies how national income is shared among the four factors of production — rent to land, wages to labour, interest to capital, and profit to the entrepreneur. It answers the question "who gets what as a factor owner?" Personal distribution studies how national income is shared among individuals or households, regardless of the source. It answers the question "how much does each person earn?" and reveals income inequality in society.
Q2. What is the marginal productivity theory of distribution?
The marginal productivity theory of distribution was propounded by J.B. Clark. It states that under perfect competition, the price of each factor of production is determined by its marginal productivity. A factor will be employed up to the point where the value of its marginal product (VMP = MP x Price) equals the factor's price. When VMP equals the wage rate for labour, or the rental rate for land, or the interest rate for capital, the firm is in equilibrium regarding that factor.
Q3. Define quasi-rent.
Quasi-rent is a concept introduced by Alfred Marshall. It refers to the temporary surplus earned by fixed factors of production (such as machinery, buildings, or equipment) in the short run, when demand increases suddenly. It is called "quasi" because it resembles land rent but is not permanent. In the long run, supply adjusts to increased demand and quasi-rent disappears. For example, if demand for a product rises sharply, existing factories earn a surplus above their variable costs — this is quasi-rent.
Q4. What is the difference between contractual rent and economic rent?
Contractual rent is the rent agreed upon by contract between the landlord and the tenant. It is a fixed payment made periodically for the use of land or property. Economic rent, on the other hand, is the surplus earned by a factor above its transfer earnings (the minimum payment necessary to keep it in its present use). All contractual rent may not be economic rent, and all economic rent may not be contractual rent. Economic rent is an economic concept, while contractual rent is a legal and practical arrangement.
Q5. What are transfer earnings? Give an example.
Transfer earnings are the minimum payment necessary to keep a factor of production in its present use. It is what the factor could earn in its next best alternative use. For example, if a teacher earning ₹30,000 per month could earn ₹25,000 in the next best alternative job, then the transfer earnings are ₹25,000 and the economic rent is ₹5,000. Transfer earnings represent the opportunity cost of keeping the factor in its current employment.
VI. Answer in Detail (5-mark questions)
Q1. Explain the Ricardian theory of rent.
David Ricardo defined rent as "the price paid for the use of the original and indestructible powers of the soil." According to Ricardo, rent arises due to differences in the fertility and location of land. It is a differential surplus that more fertile land earns over the least fertile (marginal) land under cultivation.
Assumptions: (i) Land differs in fertility and location. (ii) The order of cultivation is from more fertile to less fertile land. (iii) The supply of land is limited. (iv) Cultivation is subject to the law of diminishing returns. (v) Rent does not enter price — it is a surplus, not a cost.
Key points: Rent is a differential surplus, not a reward for the landlord's effort. Rent does not determine price — rather, price determines rent. Rent arises because land is scarce and differs in quality. Ricardo considered rent as unearned income that landowners receive without any effort.
Criticism: Ricardo assumed cultivation moves from superior to inferior land, but in reality, the best land may not be cultivated first. He ignored the fact that rent can arise even on marginal land due to scarcity. He also assumed land has only one use, ignoring transfer earnings.
Q2. Explain Keynes's liquidity preference theory of interest.
J.M. Keynes propounded the liquidity preference theory of interest in his work "The General Theory of Employment, Interest and Money." According to Keynes, interest is not the reward for saving but the reward for parting with liquidity. The rate of interest is determined by the demand for money (liquidity preference) and the supply of money.
Demand for Money (Liquidity Preference): People prefer to hold money in cash rather than in interest-bearing assets for three motives:
(i) Transaction Motive: People hold cash to meet day-to-day transactions like buying goods, paying bills, and meeting regular expenses. The transaction demand for money is directly proportional to income: L1 = kY, where k is the fraction of income held as cash and Y is income.
(ii) Precautionary Motive: People hold cash for unforeseen contingencies like illness, accidents, or unemployment. This demand also depends on income: L2 = f(Y).
(iii) Speculative Motive: People hold cash to take advantage of future changes in bond prices and interest rates. When interest rates are expected to fall (bond prices expected to rise), people hold more cash. When interest rates are expected to rise, people invest in bonds. This demand is inversely related to the interest rate: L3 = f(r), where r is the rate of interest.
Supply of Money (M): The supply of money is determined by the central bank and is assumed to be fixed at a given point in time.
Equilibrium Rate of Interest: The equilibrium rate of interest is determined where liquidity preference (demand for money) equals the supply of money: L = M. If liquidity preference increases (demand curve shifts right), interest rates rise. If the money supply increases, interest rates fall. At very low interest rates, the liquidity preference curve becomes perfectly elastic — this is called the liquidity trap, where people hoard all additional money and interest rates cannot fall further.
Criticism: The theory ignores the saving or time preference element in interest. It considers only the money supply and ignores the real factors like productivity of capital. The liquidity trap is a rare phenomenon.
Q3. Explain the theories of profit.
Profit is the reward for the entrepreneur for organising the other three factors of production, bearing risks, and making innovations. Several theories explain the origin and nature of profit:
(i) Risk-bearing Theory (F.B. Hawley): According to Hawley, profit is the reward for bearing business risks. The entrepreneur takes various risks such as fire, theft, market fluctuations, changes in demand, and competition. Since risk is inherent in business, profit is the compensation for undertaking these risks. However, this theory is criticised because insurable risks (fire, theft) do not earn profit — only uninsurable risks (market uncertainty) justify profit.
(ii) Innovation Theory (Joseph Schumpeter): Schumpeter argued that profit arises from innovations made by the entrepreneur. Innovations include: (a) introducing a new product, (b) adopting a new method of production, (c) opening a new market, (d) discovering a new source of raw materials, and (e) creating a new organisation. Profit is the result of successful innovation, but it is temporary — when other firms imitate the innovation, competition erodes the profit. In a perfectly competitive economy with no innovation, profit would be zero.
(iii) Uncertainty-bearing Theory (Frank H. Knight): Knight distinguished between risk (which is insurable and predictable) and uncertainty (which is uninsurable and unpredictable). According to Knight, profit is the reward for bearing uninsurable uncertainty, not insurable risks. Insurable risks can be covered by insurance and do not generate profit. Only genuine uncertainty — such as changes in consumer tastes, technology, or government policy — can produce profit. This theory is considered more realistic because it explains why profit is uncertain and variable.
Comparison: Hawley's theory focuses on risk, Schumpeter's on innovation, and Knight's on uncertainty. In practice, profit results from a combination of all three — the entrepreneur bears uncertainty, takes risks, and innovates. Profit is not a fixed reward like rent or wages — it can be positive, zero, or even negative (loss).
Q4. Explain the marginal productivity theory of distribution.
The marginal productivity theory of distribution was propounded by J.B. Clark. It explains how the prices of factors of production are determined under perfect competition. The theory states that the price of a factor tends to equal the value of its marginal product (VMP).
Assumptions: (i) Perfect competition in both product and factor markets. (ii) All units of a factor are homogeneous. (iii) Factors are perfectly mobile. (iv) The law of diminishing returns applies. (v) Full employment of resources. (vi) The firm aims to maximise profit.
Demand for a Factor: The VMP curve is the demand curve for the factor. The firm demands more of a factor when its price falls and demands less when its price rises.
Supply of a Factor: The supply curve of a factor under perfect competition is perfectly elastic at the prevailing factor price. The firm is a price-taker in the factor market.
Equilibrium: The factor market is in equilibrium when the VMP of the factor equals its price. At this point, the firm maximises profit, and the factor receives its marginal product as its reward.
Criticism: (i) The assumption of perfect competition is unrealistic — factor markets often have monopolies and monopsonies. (ii) Factors are not homogeneous — workers differ in skill and efficiency. (iii) The theory ignores the supply side of factors. (iv) It assumes full employment, which may not exist in reality. (v) The product of a factor cannot be measured separately in a joint production process.
Common Mistakes to Avoid
1. Confusing functional distribution with personal distribution — Functional distribution studies how income is shared among factors of production (land, labour, capital, entrepreneur). Personal distribution studies how income is shared among individuals. Do not mix them up.
2. Mixing up factor rewards — Land receives rent, labour receives wages, capital receives interest, and the entrepreneur receives profit. Swapping these in answers will cost marks.
3. Confusing Ricardian rent with modern rent — Ricardian rent applies only to land and arises from differences in fertility. Modern rent (economic rent) applies to all factors and is the surplus above transfer earnings.
4. Treating quasi-rent as permanent — Quasi-rent is temporary. It arises in the short run and disappears in the long run when supply adjusts. Only land rent is permanent because land supply is fixed.
5. Confusing liquidity preference theory with loanable funds theory — Keynes's theory determines interest by liquidity preference and money supply. The loanable funds theory (Wicksell) determines interest by the demand for and supply of loanable funds. These are different theories.
6. Forgetting the three motives of liquidity preference — Transaction, precautionary, and speculative. The speculative motive is unique to Keynes and is inversely related to the interest rate.
7. Confusing risk with uncertainty in profit theory — Hawley's theory links profit to risk-bearing. Knight's theory distinguishes insurable risk from uninsurable uncertainty and links profit only to uncertainty. Do not use these interchangeably.
8. Saying "rent enters price" — According to Ricardo, rent does not enter price. Rent is a surplus above marginal land earnings. Price determines rent, not the other way round.
9. Writing VMP = MP instead of VMP = MP x Price — The value of marginal product is the marginal product multiplied by the price of the product. VMP = MP x P, not just MP.
10. Confusing transfer earnings with economic rent — Transfer earnings are the minimum payment needed to keep a factor in its present use. Economic rent is the surplus above transfer earnings. They are different concepts, not interchangeable.
Exam Checklist
- [ ] Can define distribution and distinguish functional distribution from personal distribution
- [ ] Can list the four factors of production and their rewards (Land-Rent, Labour-Wages, Capital-Interest, Entrepreneur-Profit)
- [ ] Can explain the marginal productivity theory of distribution with its assumptions
- [ ] Can explain the subsistence theory of wages and its limitations
- [ ] Can explain the wage fund theory with its formula (Wage Fund / Number of Workers)
- [ ] Can explain the residual claimant theory of wages
- [ ] Can explain the marginal productivity theory of wages
- [ ] Can explain Ricardian theory of rent with a graded land illustration
- [ ] Can distinguish between economic rent and contractual rent
- [ ] Can define and explain quasi-rent with an example
- [ ] Can explain time preference theory of interest
- [ ] Can explain loanable funds theory of interest
- [ ] Can explain Keynes's liquidity preference theory with three motives
- [ ] Can explain the liquidity trap concept
- [ ] Can explain the risk-bearing theory of profit (Hawley)
- [ ] Can explain the innovation theory of profit (Schumpeter)
- [ ] Can explain the uncertainty-bearing theory of profit (Knight)
- [ ] Can define transfer earnings and economic rent with a numerical example
- [ ] Can explain how factor supply elasticity affects the size of economic rent
- [ ] Can write the formula VMP = MP x Price and apply it correctly