Question #247760

Consider the demand for a good. At price Rs 4, the demand for the good is 25 units. Suppose price of the good increases to Rs 5, and as a result, the demand for the good falls to 20 units. Calculate the price elasticity?


1
Expert's answer
2021-10-06T13:07:00-0400

Price Elasticity of demand is given by percentage change in quantity divided by percentage change in price.

Percentage change in quantity=Q2Q1(Q2+Q1)/2×100= \frac{Q_2-Q_1}{(Q_2+Q_1)/2}\times100


=2025(20+25)/2×100= \frac {20-25}{(20+25)/2}\times100


=22.22=-22.22 %

Percentage change in price:=P2P1(P2+P1)/2×100=\frac{ P_2-P_1}{(P_2+P_1)/2}\times100


=54(5+4)/2×100=\frac{5-4}{(5+4)/2}\times100

=22.22=22.22 %

Price Elasticity =22.2222.22=1= \frac{-22.22}{22.22}= -1



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