Measures of the Location of the Data · Exercise 10

The University of California has two criteria used to set admission standards for freshman to be admitted to a college in the UC 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 percent of high school students in the state. In this context, what percentile does the top 12 percent 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 percent 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, Statistics · §2.3 Measures of the Location of the Data · Exercise 10