Latest CAT Aptitude Question SOLUTION: 20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students

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(#M40134191) CAT Category question Keep an EYE

20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class?

Asked In CAT sangrambadi sahoo (9 years ago)

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Ajeet Kumar  (9 years ago)

Let total students in class = x
Failed Students = 20% of x
75 % of Failed students = 75% of 20 % of x = are males
i.e 75% of 20% of x = 75/100*20/100*x=15x/100
Now these students constitute 90% of poor children.
Therefore total poor students= (15x/100)*(100/90)= 15x/90

Desire Ration of poor students to total students=total poor students / total students
=(15x/90)/x
= 1/6

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