What is the respective ratio of the number of boys in College‐C, the number of girls in College‐B and the total number of students in College‐E?
- AOption (a)
45 ∶ 7 ∶ 97
- BOption (b)
43 ∶ 9 ∶ 97
- COption (c)
45 ∶ 7 ∶ 87
- DOption (d)
43 ∶ 9 ∶ 87
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Correct answer
45 ∶ 7 ∶ 87
Why this answer is correct
Given:
The total number of students in all the six colleges together = 12000
Calculation:
| College↓ | Percentage (%) of students | Number of Boys | Number of Girls |
|---|---|---|---|
| A | 12% = 1440 | 1000 | 440 |
| B | 9% = 1080 | 800 | 280 |
| C | 26% = 3120 | 1800 | 1320 |
| D | 18% = 2160 | 1200 | 960 |
| E | 29% = 3480 | 2400 | 1080 |
| F | 6% = 720 | 200 | 520 |
Number of boys in College‐C = 1800
Number of girls in College‐B = Total students - Number of boys
⇒ (9% of 12000) - 800
⇒ 1080 - 800 = 280
The total number of students in College‐E = 29% of 12000
⇒ (29/100) × 12000 = 3480
Required ratio = Number of boys in College‐C : Number of girls in College‐B : Total number of students in College‐E
Required ratio = 1800 : 280 : 3480
∴ The required ratio is 45 ∶ 7 ∶ 87.