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72% of students in a class took Physics and 44% took Mathematics. If each student took Physics or Mathematics and 40 took both, the total number of students in the class would be - Mathematics

MCQ

72% of students in a class took Physics and 44% took Mathematics. If each student took Physics or Mathematics and 40 took both, the total number of students in the class would be

Options

  • 200

  • 240

  • 250

  • 320

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Solution

250

Explanation:

No. of Student took Physics n(N) = 72%

No. of Student took Mathematics n(M) = 44%

n (M`∪`N) = 100%

n (M`∩`N) = 72 + 44 − 100 = 116 − 100 = 16%

ATQ

`16/100"x"=40`

x = 250

Concept: Percentage, Discount and Partnership (Entrance Exam)
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