The price elasticity of demand for a product is −1.2. The price is cut by 10%. By what percentage %ΔQ does the quantity demanded change?
Price elasticity of demand worksheet with answers
1.Easy
E = −1.2%ΔP = −10%
%ΔQ = %
2.Easy
When the price of a product rises by 20%, the quantity demanded falls by 30%. Find the price elasticity of demand E.
%ΔP = +20%%ΔQ = −30%
E =
3.Medium
When the price of a ticket changes from €4.00 to €5.50, weekly sales change from 200 to 170. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €4.00P2 = €5.50Q1 = 200Q2 = 170
E =
4.Medium
When the price of a ticket changes from €40.00 to €50.00, weekly sales change from 400 to 360. Use the midpoint (arc) method to find the price elasticity of demand E.
P1 = €40.00P2 = €50.00Q1 = 400Q2 = 360
E =
5.Hard
The demand for a product is Q = 800 − 8P, with P in euros. Find the price elasticity of demand E at a price of €20.
Q = 800 − 8PP = €20
E =
6.Hard
The demand for a product is Q = 1000 − 25P, with P in euros. At which price P is total revenue as large as possible?
Q = 1000 − 25P
P = €
Answer key
- 1. %ΔQ = 12 %
- 2. E = −1.5
- 3. E = −0.5135
- 4. E = −0.4737
- 5. E = −0.25
- 6. P = 20 €
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