Q.If the price of a commodity rises by 10% and its quantity demanded falls from 40 units to 30 units, calculate coefficient of price elasticity of demand. Comment on the nature of price elasticity of demand.
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Price Elasticity of Demand: From the Market to Your Pocket
Think about the last time the price of something you buy regularly went up. Maybe it was petrol, or onions, or your favourite snack. Did you stop buying it altogether? Did you buy a little less? Or did you grumble and keep buying the same amount?
That difference in your behaviour is exactly what Price Elasticity of Demand (PED) measures. It answers one simple question: When the price changes, how much does the quantity demanded change?
The Intuition First
Some goods are necessities — things you cannot easily do without. If the price of life-saving insulin rises, a diabetic patient will still buy almost the same amount. Their demand is insensitive to price.
Other goods are luxuries or have close substitutes. If the price of a particular brand of packaged juice doubles, you can easily switch to another brand, or drink water instead. Your demand is sensitive to price.
PED is just a number that captures this sensitivity. It tells sellers and policymakers: "If you change the price by 1%, by what percentage will the quantity demanded change?"
The Precise Definition (NCERT Standard)
The NCERT textbook defines Price Elasticity of Demand as:
Ed=Percentage change in pricePercentage change in quantity demanded
Or, more formally:
Ed=ΔP/PΔQ/Q=ΔPΔQ×QP
Where:
- Ed = Price elasticity of demand (a pure number, no units)
- Q = Original quantity demanded
- ΔQ = Change in quantity demanded (Qnew−Qold)
- P = Original price
- ΔP = Change in price (Pnew−Pold)
The Law of Demand says price and quantity move in opposite directions. So ΔQ and ΔP have opposite signs, making Ed always negative. Economists usually drop the negative sign and talk about the absolute value (e.g., "elasticity is 2" means Ed=−2).
The Five Types of Elasticity
The value of Ed tells you the nature of the good:
| Value of ∣Ed∣ | Term | What it means | Real-world example |
|---|---|---|---|---|
| ∣Ed∣=0 | Perfectly inelastic | Quantity demanded does not change at all when price changes | Life-saving drugs, salt (in very small quantities) |
| 0<∣Ed∣<1 | Inelastic demand | Quantity changes by a smaller percentage than price | Petrol, electricity, basic food items |
| ∣Ed∣=1 | Unitary elastic | Quantity changes by exactly the same percentage as price | A theoretical midpoint; rare in real life |
| 1<∣Ed∣<∞ | Elastic demand | Quantity changes by a larger percentage than price | Luxury cars, branded clothes, restaurant meals |
| ∣Ed∣=∞ | Perfectly elastic | Consumers will buy any amount at a given price, but nothing at a higher price | A farmer selling wheat in a perfectly competitive market |
Why Does This Matter? (The "So What?")
For a business: Elasticity determines what happens to total revenue when you change price.
Total Revenue (TR) = Price × Quantity. If demand is elastic (∣Ed∣>1), a price decrease raises total revenue (because quantity rises by a larger percentage). If demand is inelastic (∣Ed∣<1), a price increase raises total revenue (because quantity falls by a smaller percentage). …
Part (b)Concept understanding — Supply And Demand Shift
The Everyday Intuition: Why Did My Chai Cost More Last Month?
Think about the chai-wala near your school. One month, a sudden cold wave hits your city. Everyone wants hot chai. The chai-wala can only make so many cups per hour. What happens? He might raise the price from ₹10 to ₹12. You grumble, but you still buy it because you're cold. That's demand shifting — more people wanting chai at every price.
Now imagine a different scenario: a truckers' strike makes milk and sugar expensive to transport. The chai-wala now has to pay more for his ingredients. He can't afford to sell chai at ₹10 anymore. He raises the price to ₹12 just to cover his costs. That's supply shifting — the cost of making chai has changed.
These two stories feel similar — price goes up in both — but the reason is completely different. And that difference is the entire point of this concept.
The Precise Meaning: What "Shift" Actually Means
In economics, demand and supply are not single numbers. They are schedules — a whole list showing how much buyers want (or sellers offer) at every possible price. We draw them as curves on a graph: price on the vertical axis, quantity on the horizontal.
A shift means the entire curve moves — left or right. This is different from a movement along the curve, which happens when only the price changes.
Shift of the curve = a non-price factor changes (income, tastes, input costs, technology).
Movement along the curve = only the price changes.
Demand Shift
The demand curve shows: "At price ₹P, buyers want quantity Q." If something other than price changes how much people want, the whole curve shifts.
Rightward shift (increase in demand): At every price, buyers want more than before.
Leftward shift (decrease in demand): At every price, buyers want less.
What causes a demand shift? NCERT Class 12 (Introductory Microeconomics, Chapter 5) lists these factors:
- Change in income: For normal goods, higher income → more demand at every price. For inferior goods (like cheap noodles), higher income → less demand.
- Change in tastes/preferences: A health report praising green tea shifts its demand curve right.
- Change in price of related goods:
- Substitutes (tea and coffee): If coffee becomes expensive, tea demand shifts right.
- Complements (petrol and cars): If petrol becomes expensive, car demand shifts left.
- Expectations about future prices: If you think chai will cost ₹15 next week, you buy more today — demand shifts right now.
- Number of buyers: More population → more demand at every price.
Supply Shift
The supply curve shows: "At price ₹P, sellers offer quantity Q." If something other than price changes their willingness or ability to sell, the whole curve shifts.
Rightward shift (increase in supply): At every price, sellers offer more.
Leftward shift (decrease in supply): At every price, sellers offer less.
NCERT lists these causes:
- Change in input prices: Cheaper raw materials → supply shifts right. Costlier inputs → supply shifts left.
- Change in technology: Better machines → produce more at same cost → supply shifts right.
- Change in price of other goods (for multi-product firms): If a farmer can grow wheat or rice, and wheat price rises, they shift land to wheat — rice supply shifts left.
- Expectations: If sellers expect higher prices next month, they may hold back stock today — supply shifts left.
- Number of sellers: More firms enter the market → supply shifts right.
- Taxes and subsidies: A tax on production shifts supply left (costs rise). A subsidy shifts supply right (costs fall).
Why It Matters: The New Equilibrium
The market price is determined where demand and supply curves intersect. That intersection is called equilibrium. When a curve shifts, the equilibrium changes.
Here is what happens in words (and you should draw this):
Case 1: Demand shifts right (increase in demand)
- At the old price, there is now excess demand — buyers want more than sellers offer.
- Sellers raise price. As price rises, some buyers drop out, and sellers produce more.
- New equilibrium: Higher price, higher quantity. …
Part (a)
Ed=%ΔP%ΔQ
Step 1 — % change in quantity demanded:
%ΔQ=4030−40×100=40−10×100=−25%
Step 2 — % change in price = +10% (given).
Step 3 — coefficient:
Ed=+10%−25%=−2.5 …
Part (a): A 10% price rise cutting quantity from 40 to 30 units gives Ed=−2.5; demand is elastic.
Part (b): Higher air pollution increases the demand for air purifiers (rightward shift), raising both equilibrium price and equilibrium quantity.
Part (a)
Price elasticity of demand measures how responsive quantity demanded is to a price change:
Ed=%ΔP%ΔQ
Step 1 — percentage change in quantity demanded. Initial Q1=40, final Q2=30:
%ΔQ=Q1Q2−Q1×100=4030−40×100=−25%
Step 2 — percentage change in price = +10% (given).
Step 3 — coefficient of elasticity:
Ed=+10%−25%=−2.5
Nature. The negative sign reflects the inverse price–quantity relationship (law of demand). The magnitude ∣Ed∣=2.5>1, so demand is elastic: a 1% rise in price causes a 2.5% fall in quantity demanded — a more-than-proportionate response. …
- JAC Jharkhand Intermediate Class 12 (Commerce) 2026Set ANNUAL1 markMCQQ.What is the effect of increase in demand for a good on equilibrium price?(a) Equilibrium price increases(b) Equilibrium price decreases(c) Equilibrium price remains unchanged(d) Equilibrium price becomes zero
›Reveal solutionSolution
An increase in demand raises the equilibrium price.
When the demand for a good increases (demand curve shifts rightward) with supply unchanged, at the old price the quantity demanded exceeds the quantity supplied (excess demand). Buyers compete and bid the price up, so the * …
- JAC Jharkhand Intermediate Class 12 (Commerce) 2025Set ANNUAL1 markMCQQ.Which of the following goods can have elastic demand?(a) Soap(b) Cloth(c) Food items(d) Luxury car
›Reveal solutionSolution
A luxury car has elastic demand.
Demand for necessities (soap, cloth, food items) is inelastic because people buy them whatever the price. Demand for luxuries such as a luxury car is elastic — a change in price causes a more than proportionate change in quantity demanded, since the p …
- JAC Jharkhand Intermediate Class 12 (Commerce) 2025Set ANNUAL1 markMCQQ.The demand for a good used for many purposes is(a) perfectly elastic(b) inelastic(c) elastic(d) all of these
›Reveal solutionSolution
A multi-use good has elastic demand.
When a commodity has many uses (e.g. electricity, milk), a fall in its price makes it worthwhile to use it for more purposes, so quantity demanded rises sharply; a rise in price restricts its use to the most impo …
- JAC Jharkhand Intermediate Class 12 (Commerce) 2025Set ANNUAL1 markMCQQ.Due to increase in supply of a good in a market, the price of the good(a) decreases(b) increases(c) remains unchanged(d) either increase or decrease
›Reveal solutionSolution
An increase in supply lowers the price.
When the supply of a good increases (supply curve shifts rightward) with demand unchanged, at the existing price the quantity supplied exceeds the quantity demanded (excess supply). Sellers compete and cut pric …
- JAC Jharkhand Intermediate Class 12 (Commerce) 2024Set ANNUAL1 markMCQQ.Under ceteris paribus condition, what will be the effect of price hike of factors on the equilibrium price?(a) The equilibrium price will increase(b) The equilibrium price will decrease(c) The equilibrium price will be zero(d) The equilibrium price will remain unchanged
›Reveal solutionSolution
Higher factor prices reduce supply and raise the equilibrium price.
An increase in the prices of factors of production raises the cost of production, so firms supply less at each price — the supply curve shifts leftward (decrease in supply). With demand unchanged (ceteris paribus), at the old price there is now exc …
- JAC Jharkhand Intermediate Class 12 (Commerce) 2023Set ANNUAL1 markMCQQ.Following figure shows(a) Inelastic demand(b) High elastic demand(c) Perfectly elastic demand(d) Perfectly inelastic demand
›Reveal solutionSolution
A horizontal demand curve parallel to the X-axis shows perfectly elastic demand.
When the demand curve is a horizontal straight line parallel to the quantity (X) axis, a very small change in price causes an infinitely large change in quantity demanded — at the given price consumers buy any quantity, but at a higher price demand fa …
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