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In a combined test on Maths & Science, 7.5% failed in Maths, 22.5% failed in Science, & 5% failed in both the subjects. If 120 students passed in both the subjects, how many students attempted the test?
Asked by Cl_narayan | 24 Nov, 2019, 04:53: PM
Let the total students appeared = 100
Number of students failed in Math = 7.5 % of 200 = 15 students
Number of students failed in Science = 22.5 % of 200 = 45 students
Number of students failed in both subjects = 5 % of 200 = 10 students

Total failed students = Failed in Math + Failed in Science - Failed in both
= 15 + 45 - 10
=50

So, the total passed students in both subjects = 200 - 50 = 150
Actual number of passed students in both subjects = 120 (Given)
if 150 students passed, the number of students appeared = 200
If 1 student is passed then the number of students appeared = 200/150
If,120 students actually passed then, the number of students actually appeared = (200 × 120)/150
=24000/150 = 160 students appeared in the examination
Answered by Arun | 24 Nov, 2019, 07:04: PM

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Asked by Cl_narayan | 24 Nov, 2019, 04:53: PM