Price elasticity of demand of a good is (-) 2. At a price of Rs. 10 per unit 40 units of this good are bought . How units will be bought at a price of Rs. 11 per unit ? Calculate.
`E_(P)=(P)/(Q)xx(DeltaQ)/(DeltaP)`
`(-)1.5=(5)/(40)xx(DeltaQ)/(-1)`
`DeltaQ=12`
New `Q=Q+DeltaQ=40+12=52` units .
Note : In this problem , we have taken minus sing into consideration both in case of `E_(P) and DeltaP`.
`E_(P)=(% "change in " Q_(d))/(% " change in P")`
`(-)1 =(% " change in " Q_(d))/(-10%)`
`:.% "change in " Q_(d)=+10%`.
Demand after price falls `=Q+10% " of " Q=60+...
`E_(P)=(% "change in " Q_(d))/(% " change in P")`
`(-)2=(50%)/(% " change in P")`
`%` Change in P `=(50)/(-2)=-25%`
New `P=P+%` change in P
`=8+(-25% " change of " 8)...
`{:(" Price"," Demand"),(" " 7," "12),(" "6," "(72)/(6)=12):}`
`E_(P)=(P)/(Q)xx(DeltaQ)/(DeltaP)`
`=(7)/(12)xx(0)/(-1)=0`
The demand curve is parallel to the y- axis.
`E_(P)=(% " change in " Q_(d))/(% " change in P")=((30)/(150)xx100)/(-10)=(-2)`
`-2=((60)/(150)xx100)/(%" change in price")`
`%` change in Price `=(60)/(150)xx100xx(1)/(-2)=-20%`.