commodities A and B have equal price elasticity of demand . The demand of X rises from 100 units to 150 units due to a 20 percent fall in its price . Calculate the percentage fall in demand of Y if its price rises by 8 percent.
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abhaytomar135pc1m47:
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Given:
Commodity A
Q₀ = 100 units
Q₁ = 150 units
% change in price = -20%
Find:
% change in Quantity for Commodity B
Computation of % change in Quantity:
% change in Quantity = [(Q₁-Q₀)/Q₀]100
% change in Quantity = [(150-100)/100]100
% change in Quantity = 50%
Computation of Elasticity of Commodities A:
Ed = % change in Quantity / % change in price
Ed = 50% / (-20%)
Ed = -2.5%
Given that Ed for A = Ed for B
Computation of % change in Quantity for Commodity B
-2.5% = % change in Quantity / -8%
% change in Quantity = 20%
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