Suppose we plot good X consumption on the horizontal axis, and consumption for good Y on the vertical axis.

Suppose that consumer's income, I is $$1,000.$

Given that the maximum consumption for good X $($where none Y is consumed$)$ is $500.$

The maximum consumption for good Y $($where none X is consumed$)$ is $1,000.$

Suppose that the current prices for these goods, are given by P subscript x space equals space $2$ space a n d space P subscript y space equals space $1.$

Now suppose that the government plans to impose a tax to limit maximum X consumption to $450.$

What is the tax $($in percentage$)$ that can achieve this?

Important!

Express your answer in percentage and round$-$up to $2$ decimal points.