Question: A fall in the price of Good X from Rs 12 to Rs
8 causes an increase in the quantity of Good Y
demanded from 900 to 1,100 units. The cross elasticity
of demand for X: (CO3, Application)
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2
Answer:
We are given,
Percentage fall in demand =20
Initial Price =10
New Price =12
% Increase in Price =
10
2
×100=20%
We know,
e
d
=−
%change in price
%change in Demand
=−
20
20
=−1
Now, if price rises from 10 to 13
% Change in price −
10
3
×100=30%
So,
% Change in Demand =% change in Price ×e
d
=30×−1=−30
So, we can say that if the price rises from Rs. 10 to Rs. 13, i.e by 30%, then the demand will fall by 30%. This is because the good follows unitary elasticity.
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