Yeah, Butler University does provide scholarships based on merit. Here are some of them:

Academic Scholarship Program
Total Worth: $11,000 to $20,000
Eligibility: $11,000 to $20,000
Minimum Criteria: based on the student’s academic record and test scores
Requirement for maintenance: Renewal criteria outlined in the scholarship offer
Separate application needed: No
Application deadline: November 1

Butler University provides aids at an average of 25981 per student meeting 66% of students need. 100% of students with need receive financial aid at an average of 21726 need-based grant. They also provide other scholarships including Dr. Morton-Finney Leadership Award and Buttler Tuition Guarantee.