The demand for good at ₹10 per unit is 40 units. Price falls by ₹5. If price elasticity of demand is -3, calculate the new quantity demanded.
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The new quantity demanded will be 100 units.
Given: D1(Demand for good)=40
P(original price)= 10
Changes in price = -5
Ed(Elasticity of demand)= -3
To Find: New quantity demanded
Solution:
As Ed is the elasticity of demand
Ed= ΔQ/ΔP * P/Q
Here ΔQ represents a change in quantity demanded and ΔP represents a change in price and P and Q are the original price and quantity demanded
So, substituting their respective values
-3= ΔQ/-5*10/40
-3= ΔQ*10/-200
ΔQ= 60 units
Now as we know that new quantity demanded is an addition of both changes in quantity demanded and the original quantity demanded
So New Quantity= ΔQ+Q=60+40=100 units
Therefore the new quantity demanded will be 100 units
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