There is no definite percentage of questions you need to clear in order to secure yourself a seat in XLRI or XIMB. The obvious answer is every year the question paper difficulty level varies and so does the percentile cutoff.
Simply, your chances of getting a seat in both these institutes purely depend on your percentile just like JEE-Main rank is the criteria for national-level institutes.
My friend took admission in XIMB in 2018, the scores of their batch were between 56.5 to 89 out of 150. Here the person scoring has 100% percentile whereas the person getting 88.5 will be close to 99% percentile. Hence, the percentile cutoff varies each year.
For example, for admissions in 2019, the percentile cutoff was:
Here are few tips to secure a high percentile in these exams:
Therefore, thinking about percentile cutoff is in vain until the results are out. As the cutoff will totally depend on your performance, it is best recommended to focus on your performance in the exam. After all, your success depends on your hard work and fervour towards your goal.