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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
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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 8000 candidates,60% were boys. Also 80% of the boys and 90% 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 =8000×60100=4800.
The number of girls candidates are =80004800=3200 .
Here, 80% of the boys and 90% of the girls passed the exam.
Thus (10080)%=20% of the boys and (10090)%=10% of the girls failed in the exam.
Therefore the number of boys failed in the exam =4800×20100=960
The number of girls failed in the exam ==3200×10100=320
The number of candidates who failed in the exam =960+320=1280

Note: Alternative Method:
Total candidates =8000
60% Were boys, Number of boys =8000×60100=4800
Number of girls =80004800=3200
Number of boys passed =4800×80100=3840
Number of girls passed =3200×90100=2880
The number of candidates who failed in the exam,
Boys =48003840=960 Boys
Girls =32002880=320Girls
Hence, the number of candidates who failed in the exam =960+320=1280
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