Suppose that there are two countries, X and Y, that differ in both their rates of investment and their population growth rates. In Country X, investment is 20% of GDP and the population grows at 0% per year. In Country Y, investment is 5% of GDP, and the population grows at 4% per year. The two countries have the same levels of productivity, A. In both countries, the rate of depreciation, δ, is 5%.

Use the Solow model to calculate the ratio of their steady-state levels of income per capita, assuming that a = 1/3.