The vertical concentration profile for gas P shows a sharp decrease in concentration with increasing height, which is characteristic of water vapor. Water vapor is highly concentrated near the Earth's surface and its concentration decreases rapidly with height.
The vertical profile for gas Q shows a sharp increase in concentration at higher altitudes, indicating that the gas is more concentrated at higher altitudes, which is a characteristic of CO$_2$. CO$_2$ concentration increases with altitude in the atmosphere due to the absorption of solar radiation and various atmospheric processes.
Thus, the correct pair is:
\[
\boxed{\text{(A) Water vapor and CO$_2$}}.
\]