Measures of the Location of the Data · Exercise 10

The University of Wisconsin has two criteria used to set admission standards for students to be admitted to a college in the UW system:

(a) Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an "admissions index" score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12% of high school students in the state. In this context, what percentile does the top 12% represent?
(b) Students whose GPAs are at or above the 96^th percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top 12% of all students in the state. What percentage of students from each high school are "eligible in the local context"?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §2.3 Measures of the Location of the Data · Exercise 10