A consumer buys 80 units of a good at a price of Rs. 4 per unit . When the price falls , he buys 100 If price elasticity of demand is (-) 1, find out the new price.
`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%`.