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In an army selection process, the ratio of selected to unselected candidates was 3 : 1. If 80 less had applied and 40 less selected, the ratio of selected to unselected candidates would have been 4 : 1. How many candidates had applied for the process?
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- 480
- 960
- 240
- 1440
Correct Option: A
In selection process,
Selected candidates = 3x
Unselected candidates = x
According to the question,
In case II,
Total applicants = 4x – 80
Selected candidates = 3x – 40
Unselected candidates
= (4x – 80) – (3x – 40)
= 4x – 80 – 3x + 40
= x – 40
| ∴ | = | ||
| x − 40 | 1 |
⇒ 4x – 160 = 3x – 40
⇒ 4x – 3x = 160 – 40
⇒ x = 120
∴ Required total applicants
= 4x = 4 × 120 = 480
