Both has its own merits and scope. It actually depends on what makes you more happy and passionate about it. You'll only be able to prosper where you can enjoy the work you're doing.
If you continue in Science, then you can opt for B.Sc, B.Tech (in case you had PCM), Medical (in case you had PCB) and other such fields.
Fine arts is a humanities subject and will give you a degree in B.A. After this you can either continue in fine arts itself or go for other M.A. subjects like cultural studies.
However keep in mind that it will be difficult for you to go from arts to science in case you later want to switch but you can go from science to arts without much difficulty.