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The ratio of the number of students passed in an examination to the number of students who failed was 25 : 4. If three more students appear in the examination and the number of failed students decreases by 3 compared to the earlier, then the ratio of the total number of students to the number of failed students currently becomes 8 : 1. The total number of students who appeared in the examination in the beginning were:

The ratio of the number of students passed in an examination to the number of students who failed was 25 : 4. If three more students appear in the examination and the number of failed students decreases by 3 compared to the earlier, then the ratio of the total number of students to the number of failed students currently becomes 8 : 1. The total number of students who appeared in the examination in the beginning were: Correct Answer 261

Given:

Number of students passed : Number of students failed = 25 : 4

Calculation:

Let the number of students passed and failed be 25x and 4x respectively

⇒ Number of students appeared = 25x + 4x = 29x

According to the question,

(29x + 3) / (4x – 3) = 8/1

⇒ 29x + 3 = 32x – 24

⇒ 3x = 27

⇒ x = 9

∴ Actual number of students appeared = 29x = 261 

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