When price of a good falls by 10 percent , its quantity demanded rises from 40 units to 50 units. Calculate price elasticity of demand by the percentage method.
`E_(P)=(P)/(Q)xx(DeltaQ)/(DeltaP)=(50)/(1000)xx(80)/(-5)=(-)(4)/(5)=(-)0.8`
The demand is inelastic because the absolute value of clasticity is less than 1 (sign ignored).
`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)...
`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%`.