This is known as the relative humidity (although ecologists may refer to it as the water vapour pressure deficit).

evaporation as such influence on the total pressure.

evaporation occurs when the total pressure is greater than the surface molecules vapour pressure.

as the rate of evaporation increases , more vapour will be there at the top, and then the new total pressure will become the sum of the earlier total pressure and vapour pressure of the vapour evaporated.

hence total pressure increases.............

Relative lowering of vapour pressure is function of pressure of pure liquid and pressure of solutions when you increase temperature both the values increase and compensate the increase value,

According to the Raoult's law, Psolvent = Xsolvent Po where Psolvent is the vapour pressure of the liquid solution, Xsolvent is its mole fraction in the solution and Po is the pure vapour pressure.

The partial pressure of water (vapor) is included in the total pressure of the atmosphere (air) when boiling.

boiling