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?


Expert's answer

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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