In a school, 4 % of the students did not appear for the annual exams. 10% of the students who appeared for the exams could not pass the exam. Out of the remaining students, 50% got distinction marks and 432 students passed the exam but could not get distinction marks. The total number of students in the school is:

Let the total students in the school be 100%.

Appeared student in the exam = 100 - 4 = 96%

Number of student which are not pass in the exam = 96% $$\times \frac{10}{100}$$ = 9.6%

Number of student which are pass in the exam = 96 - 9.6 = 86.4%

 Number of student which are not get distinction marks in the exam = 432

50% of the remaining students = 432

86.4% $$\times \frac{50}{100}$$ = 432

43.2% = 432

Total students(100%) = $$\frac{432}{43.2} \times$$ 100 = 1000