If in City B, the ratio between the number of males to the number of females who got selected to appear for Interview is 1 ∶ 2, then the percentage of number of males selected for Interview out of the number of males who appeared in Exam-1 is ________ % more than the percentage of number of females selected for Interview out of the number of females who appeared in Exam - 1.
- AOption (a)
150
- BOption (b)
80
- COption (c)
40
- DOption (d)
100
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Correct answer
100
Why this answer is correct
Calculation:
| City | Number of students who appeared in Exam - 1 | Male who appeared in Exam - 1 | Female who appeared in Exam - 1 | Number of students who appeared in Exam - 2 (After passing Exam - 1) | Number of females who appeared for Interview (After passing Exam - 2) |
|---|---|---|---|---|---|
| A | 7800 | 3600 | 4200 | 3510 | 351 |
| B | 10000 | 2000 | 8000 | 2600 | 460 |
| C | 80000 | 50000 | 30000 | 16000 | 300 |
| D | 90000 | 20000 | 70000 | 9000 | 560 |
| E | 6000 | 2400 | 3600 | 2400 | 275 |
Let number of males selected for Interview = x
Since ratio is 1 : 2,
x : 460 = 1: 2
⇒ x = \(\frac{460}{2}\) = 230
Percentage of males selected for Interview = \(\frac{230}{2000} \times 100\)
⇒ \(\frac{23000}{2000}\) = 11.5%
Percentage of females selected for Interview = \(\frac{460}{8000} \times 100\)
⇒ \(\frac{46000}{8000}\) = 5.75%
Required percentage = \(\frac{(11.5 - 5.75)}{5.75} \times 100\)
⇒ \(\frac{5.75}{5.75} \times 100\) = 100%
∴ The percentage of males selected for Interview is 100% more than that of females.