1.

When the price of a good X is Rs. 5, the consumer buys 100 units of the good X. At what price would he be willing to purchase 140 units of good X ? The price elasticity of demand for good X is 2.

Answer»

Solution :`{:("Original Quantity (Q) = 100 unitsOriginal Price (P) = Rs. 5"),("New Quantity "(Q_(1))=140 " unitsNew Price "(P_(1))=?),("Change in Quantity "(Delta Q)=40 " unitsChange in Price "(Delta P)=?),("ELASTICITY of Demand (ED) = 2"):}`
Price Elasticity of demand `(ED)=(Delta Q)/(Delta P)XX(P)/(Q)`
`2=(40)/(Delta P)xx(5)/(100)=Delta P=Rs. 1`
As the quantity demanded is increasing, price will decrease. It means that
New Price = Original Price (P) - Change in Price `(Delta P)=5-1=Rs. 4`
New Price = Rs. 4.


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