If the number of students who have passed from B and C are equal, then what is the ratio between the number of failed students from B and C, respectively?
- AOption (a)
13 ∶ 23
- BOption (b)
23 ∶ 13
- COption (c)
11 ∶ 21
- DOption (d)
21 ∶ 11
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Correct answer
13 ∶ 23
Why this answer is correct
Calculation:
Let the total number of students in college B be x.
The number of students who passed from college B = 0.55x
The number of students who failed from college B = 0.45x.
Similarly, let the total number of students in college C be "y".
Then, the number of students who passed from college C = 0.70y
The number of students who failed from college C = 0.30y.
Given that the number of students who passed from B and C are equal. That is, 0.55x = 0.70y.
Solving for "y", we get y = (11/14)x.
Therefore, the number of students who failed from college C = 0.30y = 0.30 × (11/14)x = (33/140)x.
And, the number of students who failed from college B = 0.45x.
The required ratio of failed students from B and C, respectively = (0.45x)/[(33/140)x] = 13:23.
Hence, the ratio of failed students from B and C, respectively, is 13 : 23.