Answer is: The concentration cannot be increased. 
Saturated solution contains the maximum concentration of a solute dissolved in the solvent (usually water) and if extra solute is add to saturated solution, that solute will not dissolve. 
The amount of solute that can be dissolved in a solvent depends of chemical composition, temperature and pressure. 
For example, solubility of potassium chlorate (KClO₃) at 100 grams of water at 80°C is 37.5 g, that means that all 37.5 g is completely dissolves, this is the saturated solution.