Hello Fahmida,
Yale University has 10.6% of international students.It is always difficult to get into a US university as an international student, especially when you require financial aid. The good thing is Yale University provides need-based aids to international students as well.

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

University Merit Scholarship
Total Worth: $23,736 plus a one time $3,500 stipend
Eligibility: $23,736 plus a one time $3,500 stipend
Minimum Criteria: GPA of 3.50
Requirement for maintenance: GPA: 3.20
Application deadline: May 1

Scholarship of Distinction Level 1
Total Worth: $15,000 per year
Eligibility: $15,000 per year
Minimum Criteria: GPA: 3.80, ACT: 30, SAT: 1400
Requirement for maintenance: GPA: 3.20
Application deadline: July 1

Scholarship of Distinction Level 2
Total Worth: $9,000 per year
Eligibility: $9,000 per year
Minimum Criteria: GPA of 3.50, ACT:27, SAT:1290
Requirement for maintenance: GPA: 3.00
Application deadline: July 1

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

Bayly-Tiffany Scholarship
Separate application needed: No

Chick-Fil-A Bowl Scholarship
Total Worth: Full or partial scholarship
Eligibility: Full or partial scholarship
Separate application needed: No

V. Thomas Forehand, Jr. Scholarship
Separate application needed: No