Is a score of 87/200 good enough to get a seat at Manipal University?

The answer to this question is subjective. Whether you will get a seat or not depends on mainly two things, i.e. the campus you want to be a part of and the branch of your choice.

You might somehow secure a seat with 87/200 in the main campus which is at Manipal, Karnataka but I am afraid that you might not get any of the core branches. It is a different case if luck is on your side. But, there is an option which is, if you get selected, be it in any branch, the university lets you change your branch at the end of the first year depending upon your grades and vacancies available in the branch that you want to opt.