A few years back, one of my friends took admission at KJ Somaiya via the ILS quota in the department of Mechanical Engineering. There were around 12 seats available. The fee was the same for everyone, irrespective of the quota. 

He filled up a form on the college’s website and a merit list came out based on their CET marks. My friend’s merit number was in the 70s. If you want admission, you will have to be physically present on the day of counseling along with the fee. They were called for admission based on their merit number. The number of seats available was displayed on an LCD for all the branches. As people took admission, it got updated. When your number is called, you will have to go to the table and select your branch. 

This was the process followed a few years back. However, I do not think that there has been any change in the process.