Abhilek Kumar Nautiyal , you need to specify if the percentage of DMSO is 5% w/v or 5% v/v. If it is the latter and you want to prepare 100 mL of the solution with a rigorous method, follow the following procedure:
1. Take 5 mL of pure DMSO with a volumetric pipette and transfer it to a 100 mL volumetric flask.
2. Add the solvent (your question does not make it clear if your solution is aqueous) on a volumetric flask until the mark is completed.
If you only need an approximate preparation without much rigor, the method that recommends Dario Pacitti would be fine.
Postscript: fatty acids and naphthalene are poorly soluble in water, in what range of concentrations do you plan to work?
Let me see if I understand correctly: were the fatty acids dissolved in pure DMSO and now you want to prepare a new solution in which the previous solution is 10% and the water is 90%?
Then you can follow the procedure of Dario Pacitti to prepare approximately 100 mL of solution: 10 mL of DMSO and 90 mL of water and then dissolve the fatty acids.
If when dissolving the fatty acids in 10% v/v DMSO you get a cloudy solution, I recommend that you try an alternative procedure:
1. Prepare a solution of 10X fatty acids in pure DMSO (solution 1).
2. Place 10 mL of solution 1 in a beaker, shake vigorously with a magnetic stirrer and slowly add 90 mL of water.