5. A household buys 30 units of a commodity when its price is ₹5 per unit. The quantity demanded
falls to 25 units when the price rises to ₹6 per unit. How much is price elasticity of demand.
Price elasticity of demand is given by
=Q2−Q1Q2+Q12P2−P1P2+P12=\frac{\frac{Q_2-Q_1}{\frac{Q_2+Q_1}{2}}}{\frac{P_2-P_1}{\frac{P_2+P_1}{2}}}=2P2+P1P2−P12Q2+Q1Q2−Q1
=25−3025+3026−56+52=\frac{\frac{25-30}{\frac{25+30}{2}}}{\frac{6-5}{\frac{6+5}{2}}}=26+56−5225+3025−30
=527.5155=−0.1820.182=−1=\frac{\frac{5}{27.5}}{\frac{1}{55}}\\=\frac{-0.182}{0.182}\\=-1=55127.55=0.182−0.182=−1
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