In an examination, the ratio of the number of students who passed and the number of students who failed was 25 : 4. If three more students appeared in the examination and the number of students who failed decreased by 3 as compared to earlier, So the ratio of the total number of students at present and the number of failed students becomes 8 : 1. The total number of students who appeared in the examination initially was:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 261.
Let the number of students passed and failed be 25x and 4x respectively.
Total number of students = 25x + 4x = 29x
Given, (29x + 3)/(4x - 3) = 8/1
⇒ 29x + 3 = 32x - 24
⇒ 3x = 27
⇒ x = 9
Number of students initially = 29x
⇒ 29 × 9 = 261