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Class 12EconomicsIntroductory MicroeconomicsChapter 2

Theory of Consumer Behaviour

≈ 55 min read · 2 Prelims and 0 Mains questions from this chapter
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Start here: why this chapter matters

In simple wordsWith ₹200 in your pocket at a fair, you weigh one more plate of chaat against a ride on the wheel. You stop buying chaat when the next plate isn't worth its price to you. This chapter turns that everyday weighing into diagrams — and from it derives the demand curve that the rest of economics leans on.

This is Chapter 2 of Introductory Microeconomics, and the longest and most technical in the book: 27 pages (8–35) in six sections — 2.1 utility (cardinal and ordinal); 2.2 the consumer's budget; 2.3 the optimal choice; 2.4 demand; 2.5 market demand; 2.6 elasticity of demand — with five tables, about twenty figures, boxes on the slope of the budget line, functions, linear demand, the rectangular hyperbola and elasticity and expenditure, and 26 exercise questions, about a third of them numerical. Every number below is recomputed, every graph drawn from computed points; where NCERT slips, we say so with a safe exam line.

  • Builds on Chapter 1 (leec201 — scarcity and opportunity cost; the budget line is the consumer's own frontier). Leads into Chapter 3 (production and costs), Chapter 4 (the firm's supply) and Chapter 5 (market equilibrium, where demand meets supply, and price ceilings and floors).
  • Macro links (live): Introductory Macroeconomics — leec104 (consumption and aggregate demand) and leec102 (price indices); Indian Economic Development keec102 and keec105 (food demand, MSP and public distribution).
  • UPSC, honestly: micro theory is a small part of UPSC. Prelims has asked directly about what shifts market demand (2021) and consumer equilibrium (1998); elasticity and demand ideas then appear inside questions on taxes, subsidies, MSP and inflation. GS3 answers on food security, taxation of ‘sin goods’ or fuel pricing use elasticity — the vocabulary here — without asking for diagrams.
WordWhat it means here
Bundle (x₁, x₂)x₁ bananas and x₂ mangoes
Utility; TU; MUWant-satisfying capacity; total satisfaction from n units; extra satisfaction from the nth unit
Cardinal / ordinal utilityUtility measured in numbers / bundles only ranked
Indifference curve; indifference mapBundles giving equal satisfaction; the family of such curves
MRSMangoes the consumer will give up for one more banana, staying equally well off
Monotonic preferencesMore of at least one good and no less of the other is always preferred
Budget set / budget lineAll affordable bundles / bundles costing exactly the income
OptimumThe affordable bundle on the highest indifference curve
Demand function / curveQuantity chosen at each price, other things given / its graph
Substitution / income effectResponse to a change in relative price / to the change in purchasing power
Normal / inferior / Giffen goodDemand rises with income / falls with income / inferior good whose demand rises with its own price
Substitutes / complementsUsed instead of each other (tea, coffee) / together (tea, sugar)
Price elasticity of demand% change in quantity demanded ÷ % change in price (quoted in absolute value)
Reading the chapter-opening drawing and the margin illustration (pages 8–35)
  • Opening drawing: a hand carrying a string bag full of fruit. The point: the chapter is about one consumer filling her basket from a limited purse. A QR code (12103CH02) links to NCERT's e-content.
  • Margin strip: the book's pale sketch of a market stall. The point: choices are made at prices set in a market.

At a glance — the six ideas to carry away

  • Cardinal: MUₙ = TUₙ − TUₙ₋₁; Table 2.1 MU 12, 6, 4, 2, 0, −2 → diminishing marginal utility; TU is maximum where MU = 0. DMU explains the downward-sloping demand curve.
  • Ordinal: indifference curve (equal utility); MRS = |ΔY/ΔX| falls 3 → 2 → 1 → convex curve; perfect substitutes → straight line. Monotonic preferences: higher IC better; ICs never intersect.
  • Budget set p₁x₁ + p₂x₂ ≤ M; budget line intercepts M/p₁, M/p₂, slope −p₁/p₂. Income change → parallel shift; one price change → pivot.
  • Optimum: budget line tangent to the highest IC → MRS = p₁/p₂. Changing p₁ traces the demand curve; substitution + income effects; Giffen = inferior good whose income effect outweighs.
  • Normal vs inferior goods (income); substitutes (tea, coffee) vs complements (tea, sugar). Price change = movement along; other factors = shift. Market demand = horizontal sum.
  • Price elasticity = %ΔQ ÷ %ΔP (Example 2.2: 20 ÷ 40 = 0.5). Linear demand: 0 → ∞, 1 at midpoint. Vertical 0, horizontal ∞, pq = constant 1. Elastic → spending moves opposite to price.

1. Cardinal utility: total and marginal utility

In simple wordsThe first glass of water on a hot day is bliss; the third is fine; the sixth you would rather not drink. Each glass adds less satisfaction than the one before — and that is why you will pay a lot for the first and little for the sixth.

The consumer's choice depends on her preferences (likes) and on what she can afford (prices and income). With two goods — bananas (x₁) and mangoes (x₂) — a combination such as (5, 10) is a bundle. Utility is a commodity's want-satisfying capacity; it is subjective and varies with place and time — a room heater in Ladakh or Chennai, in winter or summer. Cardinal analysis assumes utility can be expressed in numbers. Total utility TUₙ is the satisfaction from n units; marginal utility MUₙ = TUₙ − TUₙ₋₁ is the change from one more unit (NCERT: 4 bananas give 28, 5 give 30, so MU₅ = 2); and TUₙ = MU₁ + MU₂ + … + MUₙ.

UnitsTotal utility (NCERT)Marginal utility (NCERT)Our check: TUₙ − TUₙ₋₁Running sum of MU
1121212 − 0 = 1212
218618 − 12 = 618
322422 − 18 = 422
424224 − 22 = 224
524024 − 24 = 024
622-222 − 24 = -222

Table 2.1 is consistent. Marginal utility falls — 12, 6, 4, 2 — the law of diminishing marginal utility: MU from each additional unit declines as consumption rises, holding other consumption constant. Total utility rises at a diminishing rate, is maximum (24) when MU = 0 at the 5th unit, and falls once MU turns negative (−2 at the 6th).

Table 2.1 to scale: total utility rises at a falling rate; marginal utility falls1234560510152025units →TU121822242422123456-2024681012MUunits →126420-2MU = TU(n) − TU(n−1): 12, 6, 4, 2, 0, −2. TU peaks (24) where MU = 0, then falls as MU turns negative
Table 2.1 to scale: TU and MU.

Demand from diminishing MU. Demand is the quantity a consumer is willing and able to buy at given prices and income. Besides its own price, it depends on prices of other goods, income, and tastes. The demand curve shows quantities demanded at different prices of the good, holding other prices and income constant; its downward slope is the law of demand. Diminishing MU explains it: each extra unit is worth less, so the consumer pays less for it. NCERT's example: at ₹40 she buys 5 units; the 6th is worth less than the 5th, so she buys it only if the price falls below ₹40.

⤵ Why diminishing marginal utility gives a downward-sloping demand curve
More units consumeddesire for still more weakens
MU of each extra unit fallslaw of diminishing marginal utility
Willingness to pay fallsthe 6th unit is worth less than the 5th
Buys more only at a lower pricebelow ₹40 for the 6th unit (NCERT)
Demand curve slopes downthe law of demand
Reading Table 2.1, Figures 2.1 and 2.2 (pages 9–10)Table 2.1 and Figure 2.1 plot TU (12, 18, 22, 24, 24, 22) and MU (12, 6, 4, 2, 0, −2) for 1–6 units; Figure 2.2 is a hypothetical individual demand curve, price on the vertical axis (0–50) and quantity on the horizontal (to 100), with a few price–quantity rectangles marked. The point: falling MU and a falling demand curve are two views of one idea. We checked the table (every MU equals the difference in TU). Figure 2.2's scale (quantities up to 100) does not match the ‘5 units at ₹40’ in the text — treat the figure as illustrative.
Beyond NCERT — origins and a condition
  • Diminishing marginal utility is often called Gossen's first law (Hermann Heinrich Gossen, 1854); the ‘marginal revolution’ of the 1870s (Jevons, Menger, Walras) built price theory on it, and Alfred Marshall's Principles of Economics (1890) used it to derive demand.
  • Cardinal condition for one good: buy until MU (in money terms) = price; for many goods, until MU per rupee is equal across goods (the law of equi-marginal utility).
Exam traps
  • When MU = 0, TU is at its maximum, not zero.
  • MU can be negative (−2 at the 6th unit); TU then falls.
  • The law holds while other goods' consumption is constant and units are consumed in succession.

2. Ordinal utility: indifference curves and the MRS

In simple wordsYou can't say a samosa gives you ‘27 utils’, but you can say ‘two samosas and one jalebi’ are as good as ‘one samosa and three jalebis’. Ordinal analysis needs only these rankings — and draws them as curves.

Cardinal analysis is simple but assumes utility can be counted; in real life we only rank bundles. Ordinal analysis starts there. Bundles giving equal utility lie on an indifference curve. To stay on it, a consumer who gets one more banana must give up some mangoes, so the curve slopes down. The mangoes given up per extra banana is the marginal rate of substitution, MRS = |ΔY/ΔX| (the magnitude: if ΔY/ΔX = −3/1, MRS = 3).

Bundle (Table 2.2)BananasMangoesMangoes given upMRS (NCERT)Our check
A115———
B21233:115 − 12 = 3 ✓
C31022:112 − 10 = 2 ✓
D4911:110 − 9 = 1 ✓

MRS falls as bananas increase — the law of diminishing MRS: with more bananas, each extra banana adds less utility, and with fewer mangoes each mango is worth more, so she gives up smaller and smaller amounts. This makes the indifference curve convex to the origin. For perfect substitutes — goods that can replace each other giving exactly the same utility, like ₹5 notes and ₹5 coins (Table 2.3: (1, 8), (2, 7), (3, 6), (4, 5)) — the MRS stays at 1 and the curve is a straight line.

Table 2.2: a convex indifference curve · Table 2.3: perfect substitutes (both to scale)0123403691215bananas →mangoesA (1, 15)B (2, 12)−3C (3, 10)−2D (4, 9)−1MRS: 3, then 2, then 1 mango per extra banana03690369₹5 notes →₹5 coinsnotes + coins = 9MRS constant at 1: a straight line
Tables 2.2 and 2.3 to scale: diminishing MRS and perfect substitutes.

Preferences are assumed monotonic: between two bundles, the one with more of at least one good and no less of the other is preferred. The family of curves is an indifference map, and monotonicity means higher curves are preferred. NCERT's three features: (1) curves slope down — more bananas with no fewer mangoes would put her on a higher curve; (2) a higher curve gives more utility (Table 2.4: A (1, 10), B (2, 10), C (3, 10) lie on successively higher curves, as long as MU is positive); (3) two curves never intersect.

Suppose two indifference curves crossed at A (NCERT's points, to scale)02468101202468101214bananas →mangoesIC₁ (through A, B)IC₂ (through A, C)A (7, 10)B (9, 7)C (9, 5)A ~ B (same curve IC₁)A ~ C (same curve IC₂)so B ~ C …but B has 2 more mangoesthan C, same bananas:monotonic preferences sayB is preferred. Contradiction.
Why indifference curves cannot cross, using NCERT's points A, B and C.
Reading Figures 2.3–2.8 and Tables 2.2–2.4 (pages 11–14)Fig. 2.3 draws the convex curve through A–D of Table 2.2; Fig. 2.4 the straight line for notes and coins (Table 2.3); Fig. 2.5 an indifference map with an arrow towards higher curves; Fig. 2.6 the downward slope (if Δx₁ > 0 then Δx₂ < 0); Fig. 2.7 and Table 2.4 bundles with equal mangoes and more bananas on higher curves; Fig. 2.8 two curves crossing at A (7, 10) with B (9, 7) and C (9, 5). The point: four assumptions — ranking, monotonicity, diminishing MRS, transitivity — produce the familiar picture. All the MRS steps check out.
Views of the rational consumer (Beyond NCERT attribution)Scholars and worksClaim
Ordinal revolutionJohn Hicks and R.G.D. Allen, ‘A Reconsideration of the Theory of Value’ (1934); earlier F.Y. Edgeworth (1881) and Vilfredo Pareto (1906)rankings are enough; demand theory needs no measurable utility
Revealed preferencePaul Samuelson (1938)infer preferences from observed choices rather than introspection
Bounded rationalityHerbert Simon (1955)people ‘satisfice’ with limited information and attention
Behavioural economicsDaniel Kahneman and Amos Tversky, prospect theory (1979); Richard Thalerchoices depend on framing, reference points and habits — departures from the textbook consumer
Exam traps
  • MRS is the slope (magnitude) of the indifference curve; the slope of the budget line is the price ratio.
  • Convexity comes from diminishing MRS; perfect substitutes give a straight curve.
  • Monotonic preferences rule out upward-sloping and intersecting curves; a bundle with more of both goods must lie on a higher curve.

3. The budget set and the budget line

In simple wordsWith ₹20 and samosas and chai at ₹5 each, you can have four of anything — four samosas, four chai, or two and two. List every option that fits the ₹20 and you have your budget set; the options that use up exactly ₹20 form the budget line.

With income M and prices p₁ (bananas) and p₂ (mangoes), the consumer can buy any bundle with p₁x₁ + p₂x₂ ≤ M — the budget constraint; the affordable bundles form the budget set. Example 2.1: income ₹20, both goods ₹5, integer units only: 15 bundles are affordable; (0, 4), (1, 3), (2, 2), (3, 1) and (4, 0) cost exactly ₹20; (3, 3) and (4, 5) cost too much.

Example 2.1: income ₹20, both prices ₹5 — the 15 affordable bundles012345012345bananas →mangoes✕(3, 3) costs ₹30✕(4, 5) costs ₹45Affordable bundles: 15cost exactly ₹20 (red): 5cost less than ₹20: 10Budget constraint:5x₁ + 5x₂ ≤ 20, i.e. x₁ + x₂ ≤ 4Dashed line = budget line(for divisible goods, everypoint on or below it)
Example 2.1 recomputed: 15 affordable bundles, 5 on the budget line.

If goods are divisible, the budget set is every point on or below the budget line p₁x₁ + p₂x₂ = M, rewritten as x₂ = M/p₂ − (p₁/p₂)x₁: intercepts M/p₁ (all income on bananas) and M/p₂ (all on mangoes), slope −p₁/p₂. Its absolute value is the rate at which the market lets her substitute bananas for mangoes: one more banana costs p₁, which would have bought p₁/p₂ mangoes. Changes: if income changes, the slope is unchanged and both intercepts change — a parallel shift out (M′ > M) or in. If p₁ changes, the vertical intercept stays and the line pivots — steeper if p₁ rises, flatter if it falls; a change in p₂ is symmetric.

Step (NCERT's derivation box, page 17)Equation
Two points on the budget linep₁x₁ + p₂x₂ = M and p₁(x₁ + Δx₁) + p₂(x₂ + Δx₂) = M
Subtractp₁Δx₁ + p₂Δx₂ = 0
Rearrange: the slopeΔx₂/Δx₁ = −p₁/p₂
Exercise 4 (₹4, ₹5, M = ₹20)4x₁ + 5x₂ = 20; intercepts 5 and 4; slope −4/5
Budget line 4x₁ + 5x₂ = 20 (NCERT Exercise 4) and how it moves (Exercises 5–6), to scale024681002468good 1 →good 2income ₹20 → ₹40:parallel shift out810slope −4/5 unchanged; intercepts 5 → 10 and 4 → 80123450123456good 1 →good 254p₂: ₹5 → ₹4:pivots up on the good-2 axisslope −4/5 → −1 (flatter); good-1 intercept stays 5
Exercises 4–6 to scale: an income shift and a price pivot.
Reading Example 2.1 and Figures 2.9–2.11 (pages 15–18)Example 2.1 lists the 15 affordable integer bundles; Fig. 2.9 shades the budget set below the line p₁x₁ + p₂x₂ = M; Fig. 2.10 shows parallel inward (a) and outward (b) shifts with income; Fig. 2.11 shows the line steepening (a) and flattening (b) as the banana price rises or falls. The point: income moves the line, relative prices tilt it. We counted Example 2.1's list: exactly 15 bundles, 5 of them costing ₹20.
Exam traps
  • Income change → parallel shift, same slope. One price change → pivot around the other good's intercept.
  • If all prices and income double, nothing changes (Exercise 7).
  • Slope = −p₁/p₂ (price of the good on the horizontal axis on top).

4. The consumer's optimum

In simple wordsIf you'd happily swap 2 cups of chai for 1 samosa, but the stall swaps them 1 for 1, you should buy more samosas and less chai — you come out ahead. You keep switching until your own swap rate matches the stall's. That is the optimum.

The consumer has well-defined preferences — she can compare any two bundles — and is rational: she knows what is good for her and chooses the bundle with maximum satisfaction. Her problem: reach the highest indifference curve within her budget set. The optimum lies on the budget line (with monotonic preferences, any point below it is beaten by a point on it with more of something), at the point where the budget line is tangent to an indifference curve; every other point on the line is on a lower curve. At tangency the slopes match: MRS = p₁/p₂ — the rate at which she is willing to substitute equals the rate at which she is able to substitute in the market.

Consumer's optimum: tangency of the budget line and the highest reachable indifference curve0123456012345good 1 (bananas) →good 2 (mangoes)IC: x₁x₂ = 3 (reachable, lower)IC: x₁x₂ = 5 (tangent)IC: x₁x₂ = 8 (out of reach)E (2.5, 2)At E: MRS = x₂/x₁ = 2/2.5 = 0.8 = p₁/p₂ = 4/5. Utility function x₁·x₂ is our illustration †, not NCERT's
An illustrative optimum, computed: E (2.5, 2) where MRS = p₁/p₂ = 0.8.
⤵ Why the optimum needs MRS = price ratio (NCERT's box, page 19)
Suppose MRS = 2 and both prices are equalshe would give up 2 mangoes for 1 banana
The market asks only 1 mango per bananaprice ratio p₁/p₂ = 1
She trades 1 mango for 1 bananashe ends up with more than she needed to stay equally well off
She reaches a higher curveso the original point was not optimal
Only where MRS = p₁/p₂can no such gain be made — the optimum
Reading Figure 2.12 and the MRS–price-ratio box (pages 19–20)Fig. 2.12 shows a budget line touching a black indifference curve at (x₁*, x₂*), with a higher grey curve out of reach and a lower blue curve that cuts the line. The box explains why the two rates must be equal. Footnote 9 adds that an optimum can also be a corner — all income on one good. The point: tangency is the usual, not the only, case. Our version uses an illustrative utility function so that every point can be computed.
Beyond NCERT — the cardinal parallelIn cardinal terms the same condition reads MU₁/p₁ = MU₂/p₂ — equal marginal utility per rupee — because MRS = MU₁/MU₂. With our illustrative utility x₁·x₂, MU₁ = x₂ and MU₂ = x₁, so MRS = x₂/x₁; setting x₂/x₁ = 4/5 with 4x₁ + 5x₂ = 20 gives x₁ = 2.5, x₂ = 2: half the income on each good.
Exam traps
  • Optimum: MRS = p₁/p₂ and the bundle on the budget line (both conditions).
  • A point where the budget line cuts an indifference curve is not optimal.
  • UPSC 1998 calls a consumer ‘in equilibrium’ when she can best meet her needs with a given income — the idea of the optimum, phrased loosely.

5. Demand: the law, its exceptions, and what shifts it

In simple wordsWhen mangoes get cheaper, you buy more — partly because mangoes now beat bananas on price, partly because your money now stretches further. Those are two separate reasons, and economists keep them apart.

The optimum depends on the good's price, other prices, income and tastes. Holding the others fixed, the relation between the chosen quantity and the price is the demand function X = f(P); its graph, with price on the vertical axis, is the demand curve. Lowering the banana price pivots the budget line outward; the new optimum is on a higher curve with more bananas; plotting each price against its optimal quantity traces a downward-sloping demand curve. Two effects explain it: the substitution effect (bananas are now relatively cheaper, so she substitutes them for mangoes) and the income effect (her purchasing power rises, raising demand for bananas further if they are normal). Law of demand: other things equal, quantity demanded and price move in opposite directions. A linear demand curve d(p) = a − bp for 0 ≤ p ≤ a/b (and 0 above): demand a at price 0, zero at price a/b, falling by b units per ₹1 rise.

Deriving a demand curve (illustration †: utility x₁·x₂, income ₹20, mango price ₹5)024681001234bananas →mangoesp₁ = ₹5p₁ = ₹4p₁ = ₹2optima: 2, 2.5, 5 bananas01234560123456bananas demanded →price p₁(2, ₹5)(2.5, ₹4)(5, ₹2)Each lower price gives a new optimum with more bananas → a downward-sloping demand curve, here q = 10/p₁ †
Deriving a demand curve, computed from an illustrative utility function.
⤵ A price fall, split into two effects (NCERT pages 23–24)
Price of bananas fallsbudget line pivots outward
Substitution effectbananas relatively cheaper → buy more bananas
Income effectpurchasing power rises → effect depends on the type of good
Normal goodincome effect adds to demand: law of demand holds
Inferior good, weak income effecteffects oppose; substitution wins: law still holds
Giffen goodinferior, income effect stronger: demand rises with price
What changes (others constant)Effect on the demand curve for a good
Its own priceMovement along the curve (quantity demanded changes)
Income rises — normal goodShift right
Income rises — inferior good (e.g. coarse cereals)Shift left
Price of a substitute rises (coffee, for tea)Shift right
Price of a complement rises (sugar, for tea)Shift left
Tastes move in favour (ice cream in summer)Shift right
Tastes move against (health scare about cold drinks)Shift left

A good can be normal at some incomes and inferior at others: at very low incomes demand for low-quality cereals rises with income; beyond a point people switch to better cereals. Demand for a good moves with the price of its substitutes and against the price of its complements.

Reading the ‘Functions’ box (pages 21–22)It defines y = f(x), increasing and decreasing functions, and graphs four examples: points (0, 10), (1, 15), (2, 18), (3, 20); points (0, 100), (5, 90), (10, 70), (20, 40); y = 5 + x; and y = 50 − x — noting that economics puts the independent variable, price, on the vertical axis. The point: the demand curve is a decreasing function drawn ‘sideways’. Slip: the box first lists x as 0, 5, 10, 20 but then writes f(10) = 90 and f(15) = 70; its own graph shows (5, 90) and (10, 70). Safe line: f(0) = 100, f(5) = 90, f(10) = 70, f(20) = 40.
Reading Figures 2.13–2.17 (pages 21–26)Fig. 2.13 a downward demand curve; Fig. 2.14 budget lines pivoting as the banana price falls (optima C, D, E) and the matching demand points; Fig. 2.15 a linear demand curve; Fig. 2.16 leftward (a) and rightward (b) shifts; Fig. 2.17 movement along (a) versus shift (b). The point: price moves you along; everything else shifts the curve.
Beyond NCERT — names and evidence
  • The split into substitution and income effects is due to Eugen Slutsky (1915) and was popularised by Hicks and Allen (1934).
  • The Giffen case is named after Robert Giffen via Marshall (1890s); Robert Jensen and Nolan Miller (2008) found Giffen behaviour for rice among very poor households in Hunan, China.
  • A Veblen good (Thorstein Veblen, The Theory of the Leisure Class, 1899) is demanded more at a higher price for status — a different mechanism from Giffen.
NCERT details to read carefully
  • NCERT's equation 2.13 calls a the ‘vertical intercept’ and −b the ‘slope’. With price on the vertical axis, a is the quantity (horizontal) intercept, the price intercept is a/b, and the drawn line's slope is −1/b; −b is the change in quantity per ₹1 (Δq/Δp). Safe line: ‘in q = a − bp, demand falls by b units for each unit rise in price’.
  • Every Giffen good is inferior; not every inferior good is Giffen.
  • UPSC 2021 counts ‘its price falls’ as raising market demand; strictly that is a rise in quantity demanded (movement along) — the key (statements 1 and 4) stands, but know the distinction.

6. Market demand: adding up consumers

In simple wordsAt ₹4 a kilo, Asha buys 6 kg and Ravi 11 kg; the market's demand at ₹4 is 17 kg. Do this at every price and you have the market demand curve — you add quantities sideways, not prices.

Market demand at a price is the total of all consumers' demands at that price: if at p′ consumer 1 wants q′₁ and consumer 2 wants q′₂, market demand is q′₁ + q′₂. Graphically, individual curves are added horizontally (horizontal summation). NCERT's example: d₁(p) = 10 − p (0 above ₹10) and d₂(p) = 15 − p (0 above ₹15) give market demand 25 − 2p for p ≤ 10, 15 − p for 10 < p ≤ 15, and 0 above 15 — we checked each piece.

Market demand = horizontal sum of d₁ = 10 − p and d₂ = 15 − p (to scale)0510152025051015quantity →priced₁d₂marketkink (5, ₹10)at ₹4: 6 + 11 = 17p ≤ 10: 25 − 2p10 < p ≤ 15: 15 − pp > 15: 0
NCERT's two linear demands and their horizontal sum, to scale.
Reading Figure 2.18 (page 27)Three panels: consumer 1's and consumer 2's demand curves with quantities at p′ and p̂ marked, and the market curve whose quantities are their sums. The point: summation is horizontal — the same price, quantities added.
Exam traps
  • Add quantities at each price, not prices at each quantity.
  • The market curve is kinked where a consumer drops out (at ₹10 in NCERT's example).
  • Twenty identical consumers each with d = 10 − 3p give market demand 20 × (10 − 3p) = 200 − 60p (Exercise 15).

7. Price elasticity of demand

In simple wordsIf the price of salt doubles, you still buy about the same salt. If the price of one brand of biscuits doubles, you switch brands at once. Elasticity measures this difference in response.

Price elasticity of demand eD = (% change in quantity demanded) ÷ (% change in price) = (ΔQ/Q) ÷ (ΔP/P) = (ΔQ/ΔP) × (P/Q). It is negative, but quoted in absolute value. Example 2.2: at ₹5 she buys 15 bananas; at ₹7, 12. Quantity changes by (12 − 15)/15 = −20%; price by (7 − 5)/5 = +40%; so |eD| = 20/40 = 0.5 — inelastic. Demand is inelastic if |e| < 1 (often essentials), elastic if |e| > 1 (often luxuries), unit elastic if |e| = 1; the same good can be each at different prices.

Along a straight line q = a − bp, Δq/Δp = −b, so eD = −bp/(a − bp): 0 at p = 0, 1 at the midpoint p = a/2b, less than 1 below it, more than 1 above it, and infinite where q = 0. Geometrically, elasticity at a point = lower segment ÷ upper segment of the line. Constant-elasticity curves: vertical (|e| = 0, perfectly inelastic), horizontal (|e| = ∞, perfectly elastic), and the rectangular hyperbola pq = constant (|e| = 1, spending always the same). Determinants: necessities are inelastic, luxuries elastic; close substitutes make demand elastic — food in general is inelastic, a particular variety of pulse is elastic.

Elasticity along the straight line q = 10 − 3p (Exercise 23), computed as |e| = 3p / (10 − 3p)02468100123quantity q →price pp = 1, q = 7: |e| = 0.43p = 1.67, q = 5: |e| = 1p = 2, q = 4: |e| = 1.5p = 3, q = 1: |e| = 9|e| = 0|e| → ∞ at p = 10/3midpoint (5, 5/3): unit elasticabove it (upper half): elasticbelow it (lower half): inelasticGeometric rule: |e| at a point =lower segment ÷ upper segment
Elasticity computed at points along q = 10 − 3p (Exercise 23's curve).
Three demand curves with the same elasticity at every point (NCERT Fig. 2.20; schematic)qpq̄Vertical: |e| = 0perfectly inelasticqpp̄Horizontal: |e| = ∞perfectly elasticqpevery rectanglehas area 12pq = 12: |e| = 1rectangular hyperbola
Vertical, horizontal and unit-elastic (rectangular hyperbola) demand curves.

Elasticity and expenditure (price × quantity): spending moves opposite to price if demand is elastic, with price if inelastic, and is unchanged if unit elastic. NCERT's box derives ΔE ≈ Δp·q(1 + eD) (with eD negative), ignoring the small term ΔpΔq. Table 2.5 illustrates; we add the exact change in spending.

RowPrice changeQuantity change|e|NatureNCERT: spendingExact change in spending (ours)
1+10%-8%0.8Price inelastic↑+1.2%
2+10%-12%1.2Price elastic↓-3.2%
3+10%-10%1Unit elasticNo change-1.0%
4-10%+15%1.5Price elastic↑+3.5%
5-10%+7%0.7Price inelastic↓-3.7%
6-10%+10%1Unit elasticNo change-1.0%
⤵ Elasticity and spending: the rule
Price risesquantity demanded falls
|e| > 1 (elastic)quantity falls proportionately more: spending falls
|e| < 1 (inelastic)quantity falls proportionately less: spending rises
|e| = 1 (unit)spending (approximately) unchanged
UseExercises 25 and 26; questions on taxes on goods with inelastic demand
Reading Figures 2.19–2.20, the geometric box, the rectangular-hyperbola box and Table 2.5 (pages 29–33)Fig. 2.19 marks elasticity rising along a straight demand line; the geometric box proves eD = DA/DB using similar triangles on a line from B (price axis) to A (quantity axis); Fig. 2.20 shows vertical, horizontal and hyperbolic demand curves; the hyperbola box notes that any two rectangles under xy = c have equal area; Table 2.5 lists six hypothetical price changes. The point: elasticity is a property of a point, not of a whole straight line. NCERT writes ‘∝’ where it means ∞ in the geometric box.
Beyond NCERT — uses and the midpoint formula
  • Marshall introduced price elasticity in the 1890 Principles. Many textbooks use the midpoint (arc) formula — dividing by average price and quantity — so that a rise and a fall between the same two points give the same answer; NCERT uses the initial values.
  • Policy uses: a tax on a good with inelastic demand raises revenue with little fall in sales; farm prices can collapse in a bumper year because food demand is inelastic (the ‘paradox of plenty’), one reason for price support (Chapter 5).
NCERT details to read carefully
  • Table 2.5 rows 3 and 6 say ‘no change’ in spending for ±10% price with ∓10% quantity. Exactly, 1.1 × 0.9 = 0.99 and 0.9 × 1.1 = 0.99: spending falls by 1%. ‘No change’ is the approximation for small changes (NCERT's own box drops ΔpΔq). Safe line: ‘with unit elasticity, spending is (approximately) unchanged’.
  • A straight demand line does not have constant elasticity; a rectangular hyperbola does (|e| = 1).
  • Elasticity is a pure number, independent of units. NCERT quotes absolute values.

NCERT exercise — answer outlines

The chapter has no activities; its 26 exercise questions follow. Numerical answers are recomputed. Try first, then open.

1–3. What is the budget set? What is the budget line? Why is the budget line downward sloping?
Budget set: all bundles with p₁x₁ + p₂x₂ ≤ M. Budget line: bundles costing exactly M, p₁x₁ + p₂x₂ = M. It slopes down because, spending all income, more of one good requires less of the other: p₁Δx₁ + p₂Δx₂ = 0 gives slope −p₁/p₂ < 0.
4. Prices ₹4 and ₹5, income ₹20: (i) equation of the budget line; (ii) maximum of good 1; (iii) maximum of good 2; (iv) slope.
(i) 4x₁ + 5x₂ = 20. (ii) 20/4 = 5 units. (iii) 20/5 = 4 units. (iv) −4/5 = −0.8.
5. How does the budget line change if income rises to ₹40, prices unchanged?
Parallel outward shift: 4x₁ + 5x₂ = 40; intercepts 10 and 8; slope still −4/5.
6. How does it change if the price of good 2 falls by ₹1 (to ₹4)?
4x₁ + 4x₂ = 20: the good-2 intercept rises from 4 to 5, the good-1 intercept stays 5; slope becomes −1 (flatter). The line pivots outward around the good-1 intercept.
7. What happens to the budget set if both prices and income double?
Nothing: 8x₁ + 10x₂ ≤ 40 is the same as 4x₁ + 5x₂ ≤ 20. Same intercepts and slope.
8. She can afford 6 units of good 1 or 8 units of good 2 (spending all income); prices ₹6 and ₹8. Income?
The bundle (6, 8) costs the whole income: M = 6 × ₹6 + 8 × ₹8 = 36 + 64 = ₹100.
9. Goods at ₹10 each, income ₹40, integer units: (i) all available bundles; (ii) those costing exactly ₹40.
(i) All (x₁, x₂) with x₁ + x₂ ≤ 4: (0,0), (0,1), (0,2), (0,3), (0,4), (1,0), (1,1), (1,2), (1,3), (2,0), (2,1), (2,2), (3,0), (3,1), (4,0) — 15 bundles. (ii) (0,4), (1,3), (2,2), (3,1), (4,0).
10. What are monotonic preferences?
Between two bundles, the consumer prefers the one with more of at least one good and no less of the other.
11. With monotonic preferences, can she be indifferent between (10, 8) and (8, 6)?
No: (10, 8) has more of both goods, so she must strictly prefer it.
12. Monotonic preferences: rank (10, 10), (10, 9), (9, 9).
(10, 10) ≻ (10, 9) ≻ (9, 9): each has more of one good and no less of the other than the next.
13. A friend is indifferent between (5, 6) and (6, 6). Are the preferences monotonic?
No: (6, 6) has one more of good 1 and the same good 2, so monotonicity requires a strict preference for it.
14. d₁(p) = 20 − p for p ≤ 20 (0 above); d₂(p) = 30 − 2p for p ≤ 15 (0 above). Market demand?
p ≤ 15: (20 − p) + (30 − 2p) = 50 − 3p; 15 < p ≤ 20: 20 − p; p > 20: 0. (NCERT's question misprints ‘d₁(p) = 0’ for consumer 2 above ₹15.)
15. 20 identical consumers, d(p) = 10 − 3p for p ≤ 10/3 (0 above). Market demand?
200 − 60p for p ≤ 10/3; 0 for p > 10/3.
16. Two consumers' demands at prices 1–6: d₁ = 9, 8, 7, 6, 5, 4; d₂ = 24, 20, 18, 16, 14, 12. Market demand?
Add at each price: ₹1: 33; ₹2: 28; ₹3: 25; ₹4: 22; ₹5: 19; ₹6: 16.
17–20. Normal good; inferior good (examples); substitutes (examples); complements (examples).
Normal: demand rises with income. Inferior: demand falls as income rises — low-quality food such as coarse cereals (may be normal at very low incomes). Substitutes: tea and coffee (demand for one rises with the other's price). Complements: tea and sugar, shoes and socks, pen and ink (demand for one falls when the other's price rises).
21. Explain price elasticity of demand.
%ΔQ ÷ %ΔP; responsiveness of quantity to price; elastic, inelastic, unit; varies along a straight line (0 to ∞, 1 at the midpoint); determinants (necessity vs luxury, substitutes); link to spending. Use Example 2.2 (0.5).
22. Price ₹4 → ₹5; demand 25 → 20 units. Price elasticity?
%ΔQ = (20 − 25)/25 = −20%; %ΔP = (5 − 4)/4 = +25%. |e| = 20/25 = 0.8 (inelastic).
23. D(p) = 10 − 3p. Elasticity at p = 5/3?
q = 10 − 3(5/3) = 5. e = −3 × (5/3)/5 = −1: unit elastic — p = 5/3 is the midpoint (price intercept 10/3).
24. e = −0.2; price rises 5%. Fall in demand?
%ΔQ = −0.2 × 5 = −1%: demand falls by 1%.
25. e = −0.2; price rises 10%. Effect on expenditure?
Quantity falls 2%; demand is inelastic, so spending rises — approximately 10 − 2 = 8% (exactly 1.10 × 0.98 = 1.078, i.e. 7.8%).
26. Price falls 4%; expenditure rises 2%. What about elasticity?
Spending rose when price fell, so demand is elastic (|e| > 1). Quantity rose by about 6% (exactly 1.02/0.96 − 1 = 6.25%), so |e| ≈ 6.25/4 ≈ 1.56 (≈ 1.5 by the approximate rule).
⤵ Answer frame for numericals in this chapter
Write the relationbudget line p₁x₁ + p₂x₂ = M; demand q = a − bp; elasticity %ΔQ ÷ %ΔP
Identify what is givenprices, income, quantities before and after
Compute step by stepintercepts M/p; % changes from the initial values; sums at each price
Check limitskinks where a consumer drops out; elasticity at endpoints and midpoint
Interpretelastic or inelastic; spending up or down; shift or movement

What to remember

Numbers

Table 2.1 TU12, 18, 22, 24, 24, 22
Table 2.1 MU12, 6, 4, 2, 0, −2 (TU max at MU = 0, 5th unit)
NCERT's MU exampleTU₄ = 28, TU₅ = 30 → MU₅ = 2
Table 2.2 bundles / MRS(1,15), (2,12), (3,10), (4,9) / 3, 2, 1
Table 2.3 (₹5 notes, coins)(1,8) … (4,5): MRS constant 1
Fig. 2.8 pointsA (7,10), B (9,7), C (9,5)
Example 2.1₹20, both ₹5 → 15 bundles; 5 cost exactly ₹20
Budget lineintercepts M/p₁, M/p₂; slope −p₁/p₂
OptimumMRS = p₁/p₂ (illustration: (2.5, 2) for 4x₁ + 5x₂ = 20)
Market demand (2.14–2.15)25 − 2p (p ≤ 10); 15 − p (10 < p ≤ 15); 0 above
Example 2.2Q 15 → 12 (−20%), P ₹5 → ₹7 (+40%): |e| = 0.5
Linear demand elasticity0 at p = 0; 1 at p = a/2b; ∞ at q = 0
Constant elasticityvertical 0 · horizontal ∞ · pq = c gives 1
Exercise answersQ8 ₹100 · Q22 0.8 · Q23 1 · Q24 1% · Q25 ≈ +8% · Q26 ≈ 1.56
Gossen / Marshall / Slutsky / Hicks–Allen †1854 / 1890 / 1915 / 1934
Veblen / Jensen–Miller (Giffen rice) †1899 / 2008

One-liners

  • MU falls, so willingness to pay falls: the demand curve slopes down.
  • TU is greatest where MU is zero.
  • MRS is what you are willing to swap; the price ratio is what the market lets you swap.
  • Diminishing MRS makes indifference curves convex; perfect substitutes make them straight.
  • Higher curves are better and curves never cross — thanks to monotonic preferences.
  • Income shifts the budget line; a price tilts it.
  • Optimum: tangency, MRS = p₁/p₂.
  • Own price moves you along the demand curve; everything else shifts it.
  • Giffen goods are inferior goods with a dominant income effect.
  • Market demand is the horizontal sum.
  • Elastic demand: spending moves opposite to price.
  • A straight demand line runs from elasticity 0 to infinity.

Traps to avoid

  • MU = 0 means TU is at its maximum, not zero.
  • The budget line's slope is −p₁/p₂, the indifference curve's slope is MRS.
  • If prices and income all double, the budget set is unchanged.
  • NCERT calls ‘a’ in q = a − bp the vertical intercept; it is the quantity intercept (price intercept a/b).
  • Functions box: f(5) = 90 and f(10) = 70 (the text misprints f(10) and f(15)).
  • Table 2.5's ‘no change’ for ±10% is approximate — exactly, spending falls 1%.
  • A straight demand line does not have constant elasticity.
  • Every Giffen good is inferior; not every inferior good is Giffen.
  • A price change is a movement along, not a shift of, the demand curve.
  • Exercise 14 misprints d₁ for d₂ above ₹15.

How to strategise

Prelims — what UPSC asks

  • Shifts of demand: market demand rises if the price of a substitute rises; it falls if a complement becomes dearer or if income rises for an inferior good (2021; the key also counts ‘its own price falls’, strictly a movement along the curve).
  • Consumer equilibrium: the best bundle within the budget (1998, loosely worded). Learn MRS = p₁/p₂ and MU per rupee equal across goods.
  • Expect statement questions on elasticity (spending rule; vertical, horizontal, hyperbola; midpoint of a straight line), Giffen vs Veblen vs inferior goods, and movement vs shift.

Mains — where it appears and how to answer

  • Rarely asked directly. Use the tools in GS3: inelastic food demand and farm-price crashes (case for MSP and procurement, Chapter 5); taxing goods with inelastic demand (tobacco, fuel) for revenue; inferior and Giffen goods in discussions of food subsidies for the poor; substitution and income effects in subsidy design.
  • Present policy positions as attributed economists' views side by side (e.g. on whether price support distorts markets), without present-day political commentary.

Self-check

Tap an option. NCERT's own exercise questions come first; the rest test the figures and common confusions.

1. From Table 2.1, total utility is at its maximum at:

2. The slope of the budget line 4x₁ + 5x₂ = 20 is:

3. At the consumer's optimum (an interior tangency):

4. A Giffen good is:

5. A rise in the price of sugar is most likely to:

6. Price rises from ₹4 to ₹5 and quantity falls from 25 to 20. Price elasticity (NCERT's formula) is:

7. On the demand curve q = 10 − 3p, demand is unit elastic at:

UPSC questions from this chapter

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Prelims

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2021Prelims GSConsider the following statements : Other things remaining unchanged, market demand for a good might increase if 1. price of its substitute increases 2. price of its complement increases 3. the good is an inferior good and income of the consumers increases 4. its price falls Which of the above statements are correct?Attempt →1998Prelims GSA consumer is said to be in equilibrium, ifAttempt →

Mains

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2 Prelims and 0 Mains UPSC questions are linked to this chapter. More from Introductory Microeconomics.