Question

In an examination 70% of the students passed on English, 65% in Mathematics, 27%
failed in both the subjects and 248 passed in both the subjects. Find the total number of
students.
(A) 610
(B) 725
(D) 400
(C) 225
​

Answer 1

Answer:

(D) → 400

Step-by-step explanation:

let total no of students be'x'

let a% students passed in both subjectd

(70%-a%)=passed Only in English

(65%-a%)=passed Only in Maths

27% students failed in both..

total there are 100% students..

Total students =who passed only in english+who passed only in maths+who passed both+who failed both..

100%=(70%-a%)+(65%-a%)+a%+27%

hence a%=62%

given 248 passed in both exams..

62%(x)=248

x=400 students

Answer 2

Answer:

(D) → 400

Step-by-step explanation:

let total no of students be'x'

let a% students passed in both subjectd

(70%-a%)=passed Only in English

(65%-a%)=passed Only in Maths

27% students failed in both..

total there are 100% students..

Total students =who passed only in english+who passed only in maths+who passed both+who failed both..

100%=(70%-a%)+(65%-a%)+a%+27%

hence a%=62%

given 248 passed in both exams..

62%(x)=248

x=400 students