# percentages question #1.

• July 17th 2010, 12:02 AM
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?
• July 17th 2010, 03:27 AM
Quote:

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?