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In an examination, the number of those who passed and the number of those who failed were in the ratio 25 : 4. If five more had appeared and the number of failures was 2 less than earlier, the ratio of passers to failures would have been 22 : 3. The total number who appeared at the examination is
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- 145
- 150
- 155
- 180
Correct Option: A
Let the number of failures
= 4x and that of passers = 25 x
∴ Total number of students
= 4x + 25x = 29 x
In case II
Number of students = 29x + 5
Number of failures = 4 x – 2
∴ Number of passers
= 29x + 5 – 4x + 2 = 25x +7
∴ According to the question,
| = | ||
| 4x − 2 | 3 |
⇒ 88x – 44 = 75x +21
⇒ 88x –75x = 44 +21
⇒ 13x = 65
| ⇒ x = | = 5 | |
| 13 |
∴ Total number of students
= 29x = 29 × 5 = 145
