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. …
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2026Set ANNUAL1 markMCQQ.If the demand for a good is perfectly inelastic, then the elasticity of demand is – (A) Zero (B) One (C) Infinite (D) Negative
›Reveal solutionSolution
Perfectly inelastic demand (a vertical demand curve) corresponds to price elasticity of demand Ed = 0.
Price elasticity of demand measures the responsiveness of quantity demanded to a change in price: Ed = (%ΔQd)/(%ΔP). When demand is perfectly inelastic, quantity demanded remains completely unchanged (%ΔQd = 0) no matter how much the price rises or falls — graphically this is shown as a vertical demand curve. Substituting %ΔQd = 0 into the formula gives Ed …
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2025Set ANNUAL1 markMCQQ.When the vertical straight line demand curve meets Y-axis, it is the case of : (A) Unitary elastic demand (B) Zero elastic demand (C) Perfectly inelastic demand (D) Perfectly elastic demand
›Reveal solutionSolution
A vertical (Y-axis-parallel) demand curve ⇒ perfectly inelastic demand (Ed = 0).
Price elasticity of demand measures how responsive quantity demanded is to a change in price. When the demand curve is a vertical straight line (running parallel to the Y-axis, i.e. the price axis), the quantity demanded remains exactly the same no matter how much the price changes — there is zero responsiveness. This is the case of perfectly inelastic demand, where Ed = 0. It is the opposite extreme of a perfectly ela …
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2025Set ANNUAL1 markQ.If the Government imposes sales tax equal to Rs. 5 per unit of the supply price per unit of the quantity offered for sale, what will be the impact to the supply price and the supply curve.
›Reveal solutionSolution
Sales tax of Rs. 5/unit ⇒ supply price rises by Rs. 5 at each quantity ⇒ supply curve shifts vertically upward (parallel leftward shift) by Rs. 5.
Supply price is the minimum price a seller needs to receive to be willing to supply a given quantity. When the Government imposes a sales tax of Rs. 5 per unit on the quantity offered for sale, sellers must now receive Rs. 5 more than before for every unit sold, just to be left with the same net amount as before the tax. In other words, the supply price at each level of output rises by exactly the amount of the tax (Rs. 5).
…
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2025Set ANNUAL1 markQ.Give reason why supply curve generally slopes upward to the right.
›Reveal solutionSolution
Supply curve slopes upward because price and quantity supplied are directly (positively) related — the Law of Supply.
The supply curve generally slopes upward from left to right because of the direct relationship between price and quantity supplied, known as the Law of Supply. As the price of a commodity rises, producing and selling additional units becomes more profitable for firms — remember that marginal cost of production typically rises as output increases (law of diminishing returns in the short run), so a firm is willing to produce extra units only if it gets a higher price to cover that rising marginal cost. Higher prices also attract new firms into the industry and encourage existing firms to expand production using additional resources. Hence, as price increases, both existing firms supp …
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2024Set ANNUAL1 markMCQQ.Increase in demand leads to – (A) an upward movement on the demand curve (B) a downward movement on the demand curve (C) a shift in the demand curve to the right (D) a shift in the demand curve to the left
›Reveal solutionSolution
A rise or fall in price causes a movement ALONG a given demand curve (expansion/contraction); a change in any non-price determinant (income, tastes, price of related goods, expectations) causes the ENTIRE demand curve to SHIFT. 'Increase in demand' is economics terminology reserved specifically for this second case.
At every price, consumers are now willing to buy a larger quantity than before, so the whole demand schedule/curve moves outward — to the right — away from the origin. This is different from a mere 'extension of demand', which is an upward-right movement ALONG the same curve caused purely by a fall in the good's own price. Options (A) and (B) describe mov …
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2023Set ANNUAL1 markMCQQ.Which of the following commodities has inelastic demand? (A) Tea (B) Salt (C) Car (D) Refrigerator
›Reveal solutionSolution
Salt has inelastic demand because it is a low-priced necessity with no substitutes.
Demand is inelastic when quantity demanded changes very little in response to a change in price. This happens for goods that are (i) necessities, (ii) have no close substitutes, and (iii) take up a very small part of a consumer's budget. Salt fits all three conditions — people buy roughly the same small quantity of salt regardless of a price rise or fall, because it is essential, cheap, and has no substitute. In contrast, …
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2023Set ANNUAL1 markQ.Point out one factor which determines the supply of a commodity other than price.
›Reveal solutionSolution
Supply depends not only on price but also on factors like cost of production, technology, and government policy.
While the price of the commodity itself is the most direct determinant of supply (higher price generally induces higher supply), several non-price factors also affect supply, such as: cost of production (price of inputs like raw materials, labour, capital), state of technology, prices of related goods, government policy (taxes/subsidies), and the number of firms in the industry/producers' expectations of future prices. Any one of these, e.g. a rise in the cost of raw materials, will reduce supply at every pric …
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2020Set ANNUAL1 markMCQQ.If 5% change in price is followed by 10% change in quantity demanded, probable price elasticity of demand is ________. A. 0.5 B. 1 C. 2 D. 2.5
›Reveal solutionSolution
Price elasticity of demand (Ed) = percentage change in quantity demanded ÷ percentage change in price = 10% ÷ 5% = 2.
Formula:
Ed = (% change in quantity demanded) / (% change in price)
Given:
% change in price = 5%
% change in quantity demanded = 10%
Working:
Ed = 10 / 5 = 2
…
- COHSEM Manipur Higher Secondary 1st Year (Commerce) 2020Set ANNUAL1 markQ.Identify the most important factor which determines the price elasticity of demand.
›Reveal solutionSolution
The single most important determinant of price elasticity of demand is the availability of close substitutes.
If a good has many close substitutes (e.g. one brand of tea versus another), a small rise in its price will cause consumers to switch easily to the substitute, so demand falls sharply — demand is highly elastic. If a good has no close substitutes (e.g. salt, or life-saving medicine), consumers have little choice but to keep buying it even if the price rises — demand is inelastic. While other factors (nature of the good — necessity vs luxury, proportion of income spent, tim …
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