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11In an examination 50% of the students passed in Mathematics and 70% of studentspassed in Science while 10% students failed in both subjects. 300 students passedboth the subjects. Find the total number of students who appeared in the examinationif they took examination in only two subjects.- 32+ B-A) -5x and nAB) = x. Illust |
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Answer» Solution :-Given - 50 % students passed in Mathematics.70 % students passed in Science10 % students failed in both subjects and 300 students passed in at least one subjects.Let x be the total number of students.Total students = 100 %Passed students = 100 - 10(failed in both subjects)= 90Total passed students in at least one subject= (50 + 70) - (90)= 120 - 90= 30 %So, 30 % students passed in at least one subjects.⇒ 30 % of the total students = 300⇒ 30 X of ------ = 300 100⇒ 30x/100 = 300⇒ 30x = 300*100⇒ 30x = 30000⇒ x = 30000/30⇒ x = 1000So, total 1000 students appeared in the examination. 1000 students appeared in the exam. |
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