Answer:
Increase by 5%.
Explanation:
Given that,
cross-price elasticity of demand between goods X and Y = 4
Percentage increase in consumption of good X = 20 %
cross-price elasticity of demand = Percentage change in quantity demanded for good X ÷ Percentage change in price of good Y
4 = 20 ÷ Percentage change in price of good Y
Percentage change in price of good Y = 20 ÷ 4
= 5%
Therefore, the price of good Y must be increase by 5% in order to increase the consumption of good X by 20 percent.