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HKDSE Economics | Demand, Supply and Elasticity Tutor Prep Guide | PED, PES, YED, XED

HKDSE Economics | Demand, Supply and Elasticity Tutor Prep Guide | PED, PES, YED, XED

  • 2026-11-01

Students can recite that a higher price means a lower quantity demanded, then guess whether raising the price raises revenue. This lesson ties price, quantity and revenue together with one elasticity formula, after which every elasticity question is the same three steps.

Objectives — Students can: 1) tell a movement along a curve from a shift of the curve; 2) calculate PED from percentage changes and classify the elasticity; 3) use PED to predict the direction of total revenue; 4) explain what PES, YED and XED measure and which good each value describes.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Percentage change The original value is the denominator (new minus old) divided by old
Demand and supply diagram Quantity on the horizontal axis, price on the vertical Demand slopes down, supply slopes up
Opportunity cost The value of the next best option What is given up

02 Lesson flow (60 minutes)

Time Stage Tutor does Student does
0-8 min Four curves Demand, supply, equilibrium Draw equilibrium P and Q
8-20 min Shift versus slide Six demand factors, five supply factors One real example each
20-34 min PED Formula, absolute value, categories PED comes out at 1.5
34-44 min PED and revenue Elastic demand: raising price cuts revenue Revenue $10,000 to $8,400
44-54 min PES, YED, XED Three formulas, three uses PES 0.5, YED 1.5, XED -0.38
54-60 min Exit check Three questions collected and marked Done independently

03 Teaching script (read it out)

Scene 1: Movement along versus shift: one sentence each

If the price changes, the point moves along the curve, which changes the quantity demanded or supplied. If anything other than the price changes, the whole curve shifts, which changes demand or supply. Higher demand is the curve moving right; a higher quantity demanded is a point moving up the same curve.
Six demand factors: income, prices of related goods, tastes, population, expectations, season. Five supply factors: costs, technology, prices of related goods, number of suppliers, expectations.

Ask the student: the government adds a sugar tax, what happens to the soft drink market? Costs rise, so supply shifts left, and demand does not move.

Scene 2: PED: one formula that reaches total revenue

PED is the percentage change in quantity demanded divided by the percentage change in price, taken as an absolute value. Price rises from $20 to $24, a rise of 20 per cent. Quantity falls from 500 to 350, a fall of 30 per cent, so PED is 1.5 and demand is elastic.
Total revenue is price times quantity: $20 times 500 is $10,000, and $24 times 350 is $8,400, a fall of 16 per cent. The rule: with elastic demand a price rise cuts revenue, with inelastic demand it raises revenue, and with unit elasticity revenue is unchanged.

Ask the student to compute: with PED equal to 0.5, why does the same price rise now raise revenue? The quantity falls by a smaller percentage than the price rises.

Scene 3: The three satellite formulas: PES, YED and XED

First, PES is the percentage change in quantity supplied divided by the percentage change in price. Price rises 20 per cent and quantity supplied goes from 300 to 330, up 10 per cent, so PES is 0.5: capacity is fixed in the short run.
Second, YED is the percentage change in demand divided by the percentage change in income. Income rises 10 per cent, demand goes from 200 to 230, up 15 per cent, so YED is 1.5: above one means a luxury, between zero and one a necessity, and below zero an inferior good.
Third, XED is the percentage change in the demand for good A divided by the percentage change in the price of good B. The price of B falls from $30 to $24 and demand for A rises from 800 to 860, so XED is -0.38. Negative means complements, positive means substitutes, and near zero means unrelated.

Reminder: never take the absolute value of XED; the sign is the answer.

04 Question types and worked steps

Type Example Steps Answer
Calculate Price $20 to $24, quantity 500 to 350 PED equals percentage change in Q over price 1.5, elastic
Calculate Total revenue before and after Price times quantity, both periods $10,000 to $8,400
Classify Income up 10 per cent, demand up 15 per cent YED equals change in Q over change in Y 1.5, a luxury
Explain What is the relationship between A and B The sign of XED -0.38, complements
Sanity check (teach this): PED is always positive once the absolute value is taken, so a negative answer means the sign was forgotten; elastic demand is above one and here it is 1.5. Revenue must use the new price with the new quantity. A negative YED means an inferior good, and only a value near zero lets you say the goods are unrelated.

05 Independent practice (3 questions)

Question Answer What to watch
PED for price $20 to $24 and quantity 500 to 350 1.5 Change in Q over change in price
PES for price $20 to $24 and quantity 300 to 330 0.5 Change in Qs over change in price
YED when income rises 10 per cent and demand rises 15 per cent 1.5 Change in Q over change in income

06 Common mistakes and what to say

Mistake Student writes Say this
Treating a movement as a shift Says a price rise increases demand A price rise moves along the curve; it does not shift it.
Using the new value as the denominator Uses 350 and gets a 42.9 per cent fall The denominator is always the original number.
Forgetting the absolute value for PED Reports minus 1.5 and calls it inelastic PED is read as an absolute value, so 1.5 is elastic.
Multiplying the new price by the old quantity Gets 12,000 and says revenue rose New price pairs with the new quantity, 24 times 350.

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
PED and the elasticity category 1.5, elastic All three right: move to market intervention
Revenue after the price rise with elastic demand Falls to $8,400 One wrong: reteach total revenue
What a negative XED means The goods are complements Two wrong: restart scene three

09 Tutor FAQ

Why is PED taken as an absolute value?

The law of demand already fixes the direction, so the absolute value measures only the size of the response and comparisons stay clean.

Does a price rise always cut revenue when demand is elastic?

Yes. The percentage fall in quantity is larger than the percentage rise in price, so price times quantity must fall.

Why is PES usually below one in the short run?

Factors of production and capacity cannot change quickly, so suppliers cannot raise output at once.

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