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In an army selection process, the ratio of selected to unselected candidates was 4:1. If 90 less had applied and 20 less were selected, the ratio of selected to unselected candidates would have been 5:1. How many candidates had applied for the process ?
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- 1650
- 3300
- 825
- 4950
Correct Option: A
Let the number of the selected candidates be 4x
Unselected candidates = x
According to the question,
Total new applicants = 5x – 90
Selected candidates = 4x – 20
Unselected candidates
= 5x – 90 – 4x + 20
= x – 70
| ∴ | = | ||
| x − 70 | 1 |
⇒ 5x – 350 = 4x – 20
⇒ 5x – 4x = 350 – 20
⇒ x = 330
∴ Required number of total original applicants
= 5x = 5 × 330 = 1650
