In An Examination, 30% And 35% Students Respectively Failed In History And Geography While 27% Students Failed In Both The Subject. If The Number Of Students Passing The Examination Is 248. Find The Total Number Of Students Who Appeared In The Exam?

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- Jul 17th 2010, 12:02 AMpradeepbajipercentages question #1.
In An Examination, 30% And 35% Students Respectively Failed In History And Geography While 27% Students Failed In Both The Subject. If The Number Of Students Passing The Examination Is 248. Find The Total Number Of Students Who Appeared In The Exam?

- Jul 17th 2010, 03:27 AMArchie Meade
If failing 1 or more tests results in an overall fail, then.....

27% failed both, so (30-27)%=3% failed History but not Geography

and (35-27)%=8% failed Geography but not History.

Hence, (27+3+8)%=38% of the students failed the exam.

62% of the students passed which is 248.

1% of the students is $\displaystyle \frac{248}{62}=4$

Hence, 100% of the students is how many?