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Math Help - percentages question #1.

  1. #1
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    percentages 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?
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  2. #2
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    Quote Originally Posted by pradeepbaji View Post
    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?
    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 \frac{248}{62}=4

    Hence, 100% of the students is how many?

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