If you consider in terms of course fee then no CSE have greater course fee than CS.

Now CSE is a more job relevant. The course gives you the basics knowledge of CS and avails you to explore the advanced topics through which you can engineer the new systems and create things. The curriculum is such designed that coding comes to a great part and as a result CSE graduates gets jobs in IT sectors or any other sectors more than CS graduates because CS is more theoretical. CS wants to unravel the logic behind the functioning of the computer where as CSE takes those logic and engineer new ways to make the life easier. So both the degrees are good but if you want to go for Research or atleast a Masters then you can go for CS and you can get good jobs. But if you want to go for a job just after your UG then I would recommend you to go for CSE.

To know more about CSE visit the link below:

https://www.careers360.com/courses/computer-science-engineering-course

To know more about CS you may visit the link below:

https://www.careers360.com/courses/computer-science-course

I hope this answer helps. All the very best for your future endeavors!