New Problems Based on Price elasticity of Demand
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Questions
for Practice:
1.
Suppose the price of a commodity falls from ₹6 to ₹4 per unit and due to this
quantity demanded of the commodity increases from 80 units to 120 units. Find
out the price elasticity of demand
Solution:
Following
information is given:
Q
= 80 units |
Q1=
120 units |
ΔQ =Q1-Q =120-80 = 40 |
P
= ₹6 |
P1=
₹4 |
ΔP
= P1-P = 4-6 = -2 |
Ed=? |
Note:
(-) negative sign is prefixed to the
formula because price and demand are inversely related. Doing this would bring
the value of elasticity of demand to positive.
Interpretation:
The calculated value of
Elasticity of demand(Ed) is 1.5>1 indicates elastic demand or
more than unitary elastic demand. It implies that 10% fall in price of the
commodity caused 15% increase in its demand showing that change in demand is greater
than change in price of the commodity.
2.
A consumer purchases 80 units of a
commodity when its price is ₹ 1 per unit and he purchases 48 units when its price rises to₹ 2 per unit. What is the price elasticity of
demand for the commodity?
Solution:
Following
information is given:
Q
= 80 units |
Q1=
48 units |
ΔQ =Q1-Q = 48-80 = -32 |
P
= ₹ 1 |
P1=
₹2 |
ΔP
= P1-P = 2-1 = 1 |
Ed=? |
Note: (-) negative sign is prefixed to the formula
because price and demand are inversely related. Doing this would bring the
value of elasticity of demand to be positive.
Interpretation:
The above calculated
value of Elasticity of demand(Ed) is 0.4 < 1 indicates inelastic
demand or less than unitary elastic demand. It implies that 10% rise in price
of the commodity caused 4 % fall in its demand showing that change in demand is
less than change in price.
3.
Suppose that the price elasticity of demand for petrol is equal to unity and at
₹15 per litre an individual consumes (i.e. demands) 80 litres of petrol in a
weak. How much price of petrol should be fixed so that he demands 60 litres of
petrol.
Solution:
Following
information is given:
Q
= 80 lts. |
Q1=
60 lts. |
ΔQ =Q1-Q =60-80 = -20 |
P
= ₹ 15 |
P1=? |
ΔP
= P1-P ΔP = P1-15…….(1) |
Ed=1 |
Note: (-) negative sign will not be prefixed to the
formula as the given value of elasticity is positive.
Interpretation:
In order to get unitary
elasticity, new price should be ₹11.25
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