Skip to main content
Quantitative Aptitude 3% exam weight

Demand and Supply

Part of the RPSC RAS study roadmap. Quantitative Aptitude topic econom-002 of Quantitative Aptitude.

Demand and Supply

🟢 Lite — Quick Review (1h–1d)

Demand is the willingness and ability to buy a good at various prices. Supply is the willingness and ability to sell a good at various prices. The Law of Demand states that price and quantity demanded have an inverse relationship (ceteris paribus). The Law of Supply states that price and quantity supplied have a direct relationship.

Market equilibrium occurs where demand curve (DD) intersects supply curve (SS). At this point, equilibrium price (Pe) and equilibrium quantity (Qe) are determined. If price is above Pe → surplus; if below Pe → shortage.

Price elasticity of demand (PED) = % change in quantity demanded / % change in price. If PED > 1 → elastic; PED < 1 → inelastic; PED = 1 → unitary.

Key formula for exam:

PED = (ΔQ/Q) ÷ (ΔP/P) = (P₁ × ΔQ) / (Q₁ × ΔP)

Exam Tip: Always check whether the question asks for “arc elasticity” or “point elasticity.” For point elasticity, use the formula above with original values. For arc elasticity, use the midpoint formula: PED = (ΔQ/[(Q₁+Q₂)/2]) ÷ (ΔP/[(P₁+P₂)/2]).


🟡 Standard — Regular Study (2d–2mo)

Law of Demand and Supply

Law of Demand: When price of a good rises, quantity demanded falls (and vice versa), keeping other factors constant. This inverse relationship forms the downward-sloping demand curve. The slope is negative because of the diminishing marginal utility — each additional unit consumed gives less satisfaction.

Law of Supply: When price rises, quantity supplied rises (and vice versa). This direct relationship creates an upward-sloping supply curve because higher prices incentivize producers to produce more and enter the market.

Determinants of Demand

  1. Price of the good — own price effect (movement along the curve)
  2. Income of consumers — normal goods: demand rises with income; inferior goods: demand falls with income
  3. Tastes and preferences — fashion, advertising, habit
  4. Expectations — if prices expected to rise, demand rises today
  5. Price of related goods:
    • Substitutes (tea ☕ and coffee): price of tea ↑ → demand for coffee ↑
    • Complements (tea and sugar): price of tea ↑ → demand for sugar ↓
  6. Number of buyers — more buyers → higher market demand

Rajasthan Context: In Rajasthan, the demand for water-saving appliances (like drip irrigation equipment) increases when farmers expect water scarcity or electricity tariff hikes for tubewells. This is a classic example of demand shifting due to price expectations of related goods (electricity) and future scarcity expectations.

Determinants of Supply

  1. Price of the good — own price effect (movement along the curve)
  2. Cost of production — raw material prices, wages, rent
  3. Technology — better tech reduces cost → supply increases
  4. Number of sellers — more producers → more supply
  5. Government policies — taxes reduce supply; subsidies increase supply
  6. Expectations — expected price falls may prompt sellers to supply more now
  7. Natural factors — drought reduces agricultural supply

Market Equilibrium

Equilibrium is reached when:

  • Quantity Demanded = Quantity Supplied
  • Neither shortage nor surplus exists
  • Price is stable at Pe

Changes in demand or supply shift the curves:

  • Demand ↑ → both Pe and Qe ↑
  • Supply ↑ → Pe ↓, Qe ↑
  • Demand ↑ + Supply ↑ → Qe ↑, Pe indeterminate (direction depends on magnitude of shifts)

Exam Tip: In RPSC RAS, questions frequently ask what happens to equilibrium price/quantity when demand or supply curves shift. Always draw a diagram mentally: rightward shift = increase, leftward shift = decrease.

Price Elasticity of Demand (PED)

Types:

ValueTypeMeaning
PED = 0Perfectly ElasticAny price change → quantity demanded falls to zero
0 < PED < 1InelasticQuantity demanded is less responsive to price
PED = 1Unitary% change in Q = % change in P
1 < PED < ∞ElasticQuantity demanded is highly responsive to price
PED = ∞Perfectly InelasticQuantity demanded remains constant regardless of price

Factors affecting PED:

  • Availability of substitutes — more substitutes → more elastic
  • Necessity vs luxury — necessities are inelastic
  • Proportion of income spent — larger proportion → more elastic
  • Time period — longer time → more elastic (consumers adjust)
  • Habit-forming goods — less elastic

Exam Tip: For RPSC RAS, remember: “NECST” — N (necessities inelastic), E (elastic for luxuries), C (complements have cross elasticity), S (substitutes have cross elasticity), T (time — more elastic in long run).

Price Elasticity of Supply (PES)

PES = % change in quantity supplied / % change in price

  • PES = 0: Perfectly inelastic supply (agricultural products in short run)
  • 0 < PES < 1: Inelastic supply
  • PES = 1: Unitary elastic
  • PES > 1: Elastic supply
  • PES = ∞: Perfectly elastic supply

Factors affecting PES:

  • Production capacity — excess capacity → more elastic
  • Ease of storage — storable goods have more elastic supply
  • Time period — long run → more elastic
  • Mobility of factors — easier to shift factors → more elastic

🔴 Extended — Deep Study (3mo+)

Law of Demand — Deep Dive

The Law of Demand can be derived from:

  1. Diminishing Marginal Utility (DMU): Each additional unit gives less utility, so consumers will only buy more at lower prices
  2. Income Effect: When price falls, real income rises, enabling more purchases
  3. Substitution Effect: When price falls, the good becomes cheaper relative to substitutes, encouraging switches

Exceptions to Law of Demand:

  • Giffen goods: Inferior goods where price fall reduces demand (the “Giffen paradox”)
  • Veblen goods: Luxury goods where higher price signals status, increasing demand
  • Speculation: During price rises, consumers buy more expecting further increases
  • Habitual consumption: Addictive goods (cigarettes, paan) defy normal demand logic

Exam Tip: Giffen goods are rare and often confused. The classic example is staple food in poor economies — when bread prices rise, poor households buy more bread (not less!) because they cannot afford expensive protein substitutes. Remember: Giffen goods are inferior goods with no close substitutes.

Determinants of Demand — Detailed Analysis

1. Income Elasticity of Demand (YED):

  • Normal goods: YED > 0 (demand increases with income)
  • Inferior goods: YED < 0 (demand decreases with income)
  • Luxury goods: YED > 1 (demand grows faster than income)

2. Cross Elasticity of Demand (XED):

  • Substitutes: XED > 0 (price of tea ↑ → demand for coffee ↑)
  • Complements: XED < 0 (price of petrol ↑ → demand for cars ↓)
  • Unrelated goods: XED = 0

3. Engel Curve: Shows relationship between income and quantity demanded for a good. Upward sloping for normal goods, downward sloping for inferior goods.

Rajasthan Focus: Rajasthan has a significant inferior good pattern in rural areas — items like ragi (finger millet) and bajra (pearl millet) may be inferior goods for lower-income households. When incomes rise, households switch to wheat and rice. This is a common RPSC RAS economics question.

Determinants of Supply — Detailed Analysis

Supply Function: Qs = f(P, Pr, T, G, E, N) Where: P = own price, Pr = price of resources, T = technology, G = government policy, E = expectations, N = number of firms

Movement vs Shift:

  • Movement along supply curve = change in quantity supplied due to own price change
  • Shift of supply curve = change in supply due to non-price determinants

Laws of Returns:

  • Increasing returns — supply increases faster than inputs ( economies of scale)
  • Constant returns — proportional increase
  • Decreasing returns — supply increases slower than inputs (diseconomies of scale)

Market Equilibrium — Advanced Concepts

Types of Equilibrium:

  1. Stable equilibrium — disturbance causes forces pushing back to equilibrium
  2. Unstable equilibrium — disturbance causes forces pushing away from equilibrium
  3. Neutral equilibrium — disturbance has no effect

Excess Demand (Shortage):

  • Qd > Qs at given price
  • Competition among buyers → price rises
  • Movement up the supply curve, down the demand curve
  • Continues until Qd = Qs

Excess Supply (Surplus):

  • Qs > Qd at given price
  • Competition among sellers → price falls
  • Movement down the demand curve, up the supply curve
  • Continues until Qd = Qs

Government Intervention:

  • Price ceiling: Maximum price → shortage (e.g., rent control in Jaipur)
  • Price floor: Minimum price → surplus (e.g., Minimum Support Price for wheat in Rajasthan)
  • Buffer stock: Government buys excess supply to maintain floor price
  • Issue price vs procurement price — commonly asked in agricultural economics questions

Rajasthan Context: The Maharaja Kesar (MSP) system for wheat and mustard in Rajasthan is a classic price floor example. The government guarantees a minimum price, creating surplus if world prices are lower. This is frequently tested in RPSC RAS Prelims under agricultural economics.

Price Elasticity of Demand — Calculation Methods

1. Point Elasticity Method:

PED = (dQ/dP) × (P/Q)

Where dQ/dP is the slope of demand curve.

2. Arc Elasticity Method (Midpoint Formula):

PED = (ΔQ/[(Q₁+Q₂)/2]) ÷ (ΔP/[(P₁+P₂)/2])

3. Total Expenditure Method:

  • If price falls and total expenditure rises → elastic
  • If price falls and total expenditure falls → inelastic
  • If price falls and total expenditure unchanged → unitary

Relationship between PED and TR:

  • P falls → TR rises if PED > 1
  • P falls → TR falls if PED < 1
  • P falls → TR unchanged if PED = 1

Exam Tip: A very common RPSC RAS question asks: “If price falls by 10% and quantity demanded rises by 20%, is demand elastic, inelastic, or unitary?” Answer: Elastic (20%/10% = 2 > 1). This also means total revenue (TR) will increase.

Consumer Surplus and Producer Surplus

Consumer Surplus (CS):

  • Difference between what consumers are willing to pay (max price) and what they actually pay (market price)
  • CS = Maximum Willingness to Pay − Actual Price
  • Represented by area below demand curve and above market price
  • Total CS = ½ × Qe × (Pmax − Pe)

Producer Surplus (PS):

  • Difference between actual price received and minimum acceptable price (marginal cost)
  • PS = Actual Price − Minimum Acceptable Price
  • Represented by area above supply curve and below market price
  • Total PS = ½ × Qe × (Pe − Pmin)

Total Welfare = CS + PS — maximized at equilibrium in a competitive market

Exam Tip: In RPSC RAS diagrams, consumer surplus is always the triangle between the demand curve and the market price line. Producer surplus is the triangle between the market price line and the supply curve. Combined, they form the “welfare triangle” at equilibrium.

Types of Markets — Detailed Comparison

FeaturePerfect CompetitionMonopolyMonopolistic CompetitionOligopoly
SellersManyOneManyFew
BuyersManyManyManyMany
Entry/ExitFreeBlockedFreeRestricted
ProductHomogeneousUniqueDifferentiatedHomogeneous or differentiated
PEDHighly elastic (horizontal DD)InelasticElasticVaries
Price= MC = MR = AR> MC> MC> MC (kinked demand)
MR = MCYesYesYesYes (in equilibrium)
DiagramHorizontal DD, upward SSDD = AR, MR = 2× slopeDownward DD, more elasticKinked demand curve

Key Points:

  • Perfect Competition: P = MR = MC (minimum of AC is equilibrium in long run)
  • Monopoly: No supply curve — quantity determined by MR = MC; price from DD curve
  • Monopolistic Competition: Excess capacity in long run (produce below minimum AC)
  • Oligopoly: Interdependence of firms; kinked demand curve explains price rigidity

Natural Monopoly:

  • One firm can serve entire market at lower cost than two
  • High fixed costs, low marginal costs (utilities, railways)
  • Average cost declines with output throughout relevant range

Rajasthan Example for Oligopoly: The cement industry in Rajasthan (with major players like ACC, Ambuja, Birla) is an oligopoly. Cement prices in the state tend to be stable (price rigidity) because firms are interdependent and fear price wars.

Rajasthan Example for Monopoly: Rajasthan State Road Transport Corporation (RSRTC) is a state monopoly for many inter-city bus routes. It sets routes and fares with limited competition, giving it monopoly power despite being a public utility.

Cross Elasticity, Income Elasticity, and Their Applications

Cross Elasticity of Demand (XED):

XED = (% change in demand for Good X) / (% change in price of Good Y)
  • Substitutes: XED > 0 (positive) — butter and margarine
  • Complements: XED < 0 (negative) — petrol and cars
  • Independent: XED = 0

Income Elasticity of Demand (YED):

YED = (% change in Qd) / (% change in income)
  • YED > 1: Luxury (income elasticity high — spending rises faster than income)
  • 0 < YED < 1: Normal necessity
  • YED = 0: Income inelastic (necessity goods)
  • YED < 0: Inferior good

Exam Tip: RPSC RAS often asks: “Which type of elasticity would a statistician use to determine if a good is normal or inferior?” Answer: Income Elasticity of Demand (YED). A positive YED = normal good; negative YED = inferior good.

High-Yield Formulas Summary

PED = (ΔQ/ΔP) × (P/Q)                          [Point elasticity]
PED = (ΔQ × (P₁+P₂)/2) / (ΔP × (Q₁+Q₂)/2)    [Arc elasticity]

YED = (% change in Qd) / (% change in income)
XED = (% change in Qd of X) / (% change in P of Y)

PES = % change in Qs / % change in P

Consumer Surplus = Willingness to Pay − Actual Price
Producer Surplus = Actual Price − Minimum Acceptable Price

Total Revenue (TR) = P × Q
Average Revenue (AR) = TR/Q
Marginal Revenue (MR) = ΔTR/ΔQ

Exam Tip: If total revenue (TR) falls when price falls, demand is inelastic. If TR rises when price falls, demand is elastic. This is a quick mental check RPSC RAS uses in multiple-choice questions.

Diagrams to Remember

1. Basic Demand-Supply Diagram:

P
↑    S
|     \
|      \       E (Equilibrium)
|       \     / \
|        \   /   \
|         \ /     \  D
|          -----------
|          Qe       Q
  • Equilibrium at E where DD and SS intersect
  • Price ceiling above Pe → surplus
  • Price floor below Pe → shortage

2. Elastic vs Inelastic Demand Curve:

P
↑    D₁ (Elastic, flat)
|   /
|  /   D₂ (Unitary)
| /   /
|/\  /  D₃ (Inelastic, steep)
|  \/
|   \
|    ------
|          Q
  • Flatter curve = more elastic
  • Steeper curve = more inelastic
  • Horizontal = perfectly elastic
  • Vertical = perfectly inelastic

3. Consumer and Producer Surplus:

P
↑   CS (triangle above price)
|  /\
| /  \  D
|/\  /\
|  \/  \   E (Pe, Qe)
|      /\ PS (triangle below price)
|      \/\
|       \  \ S
|        ------
|             Q
  • CS = area between demand curve and price line
  • PS = area between supply curve and price line

REET/RAS Specific Question Patterns

Based on previous years’ RPSC RAS Economics papers:

  1. Numericals on elasticity: “If price rises from ₹10 to ₹12 and quantity demanded falls from 100 to 80 units, find PED.” → Calculate percentage changes → PED = 1.0 (unitary)

  2. Equilibrium shifts: “If both demand and supply increase, what happens to equilibrium price and quantity?” → Q increases, P is indeterminate

  3. Surplus/shortage identification: Given market data, identify if situation is surplus or shortage

  4. Consumer/Producer surplus calculation: Find area of triangles given specific numbers

  5. Market structure identification: “Which market structure has horizontal demand curve for a firm?” → Perfect competition

  6. Tax incidence: “Who bears more burden of a tax on a good with inelastic demand?” → Consumers bear more (supply is relatively elastic)

  7. Agricultural price policy: MSP, buffer stock, and procurement — Rajasthan context questions

Last-Minute Tip: For RPSC RAS Prelims, the economics section typically has 3-5 questions from Demand and Supply. Focus on: PED calculation, equilibrium shifts, and market structure characteristics. These are the most frequently tested topics. Time spent on consumer/producer surplus diagrams pays off because one well-drawn diagram can answer 2-3 questions.

⚡ Quick Exam Checklist

Before entering the exam hall, mentally verify:

  • Demand curve slopes downward (inverse P-Q relationship)
  • Supply curve slopes upward (direct P-Q relationship)
  • Equilibrium: Qd = Qs (not just “curves intersect”)
  • Elastic: PED > 1 | Inelastic: PED < 1 | Unitary: = 1
  • Giffen goods = inferior goods with no substitutes (rare exception)
  • Perfect competition → firms are price takers (horizontal demand curve)
  • Monopoly → firms are price makers
  • Total Revenue increases when price falls and demand is elastic
  • Consumer surplus: area above price, below demand curve
  • Producer surplus: area below price, above supply curve

Content prepared for RPSC RAS Prelims 2026. All Rajasthan-specific examples are highlighted in ⚡ boxes for quick identification.