In an examination, the number of students who passed and the number of students who failed were in the ratio 25 : 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 : 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 126.
Let the number of students who passed be 25x and the number of students who failed be 4x.
Total student = 25x + 4x = 29x.
1 student joins and pass the examination,
Total student = 29x + 1
Failed students = 4x - 3
Passed students = 29x + 1 - 4x + 3 = 25x + 4.
According to the question,
(25x + 4)/(4x - 3) = 22/3
x = 6.
Required difference = 25x - 4x = 21x
21x = 21 × 6 = 126.