
Out of 8000 candidates, 60% were boys. If 80% of the boys and 90% of the girls passed the exam, find the number of candidates who failed.
Answer
492.9k+ views
Hint: In this question, we have the total number of students and the percentage of boys and girls and their passing percentage.
We need to find out the number of students who failed in the exam. For finding that we first need to evaluate the number of boys who failed in the exam and the number of girls who failed in the exam, then by adding these two numbers we will get the required solution.
Complete step-by-step solution:
It is given that out of candidates, were boys. Also of the boys and of the girls passed the exam.
We need to find out the number of candidates who failed in the exam.
Now, the number of boys candidates are = .
The number of girls candidates are = .
Here, of the boys and of the girls passed the exam.
Thus of the boys and of the girls failed in the exam.
Therefore the number of boys failed in the exam
The number of girls failed in the exam =
The number of candidates who failed in the exam
Note: Alternative Method:
Total candidates
Were boys, Number of boys
Number of girls
Number of boys passed
Number of girls passed
The number of candidates who failed in the exam,
Boys Boys
Girls Girls
Hence, the number of candidates who failed in the exam
We need to find out the number of students who failed in the exam. For finding that we first need to evaluate the number of boys who failed in the exam and the number of girls who failed in the exam, then by adding these two numbers we will get the required solution.
Complete step-by-step solution:
It is given that out of
We need to find out the number of candidates who failed in the exam.
Now, the number of boys candidates are =
The number of girls candidates are =
Here,
Thus
Therefore the number of boys failed in the exam
The number of girls failed in the exam =
Note: Alternative Method:
Total candidates
Number of girls
Number of boys passed
Number of girls passed
The number of candidates who failed in the exam,
Boys
Girls
Hence, the number of candidates who failed in the exam
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