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In an examination, 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subject, find the total number of students.


biprapalai456 19th Jan, 2022
Answers (2)
piyush263001 19th Jan, 2022

Hello,

Consider the total number of student sto be X

Now we know that 75% students passed in Both English and Mathematics as given in the question.

------ This means 25% students failed in both the subjects.

Also it is given that total students who failed in both English and mathematics are 40.

When we form equation from the above data it can be represented as -

( 25/100 ) • X = 40

On solving -

X = 160

Hence, total number of students are 160.

2 Comments
Comments (2)
19th Jan, 2022
book me answer total students 400
Reply
19th Jan, 2022
both pass = 75%
math pass = 80%
English pass = 85%
total pass students = both pass + math pass + English pass
TPS = 75 + 5 +10 = 90
Failed students = 100 - TPS (90)
failed students = 10 %
10% = 40 students
total students = 400
Reply
piyush263001 19th Jan, 2022

Hello,

Consider the total number of student sto be X

Now we know that 75% students passed in Both English and Mathematics as given in the question.

------ This means 25% students failed in both the subjects.

Also it is given that total students who failed in both English and mathematics are 40.

When we form equation from the above data it can be represented as -

( 25/100 ) • X = 40

On solving -

X = 160

Hence, total number of students are 160.

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