Percentage Practice Test 6 with solutions

A test paper consists of 5 questions. 5% of the students who took the test solved all questions and 5% did not solve any of the questions. Of the remaining students, 25% solved only 1 question and 20% solved 4 questions while $24\frac{1}{2}\%$ of the total students solved 2 questions. If the number of students who solved 3 questions is 200, find the total number of students who took the test.