`E_(P)` of a good is -3 . At a price of Rs. 8 per unit a consumer busy 160 units of the good . How many units of the good will the consumer buy when price falls to Rs. 6 per units ?
`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.