In an examination, 80% of students
passed in Maths and 70% in Science while 12%
failed in both the subjects. If 310 students passed
in both the subjects, find the total number of
students who appeared in the examination.
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Answer:
x=240
Step-by-step explanation:
Student Passed in English =80%
Students failed in English=100%−80%=20%
Students passed in Maths =70%
Students failed in Maths =100%−70%=30%
Students failed in both =10%
Total failed students = Failed in English + failed in Math − Common
Total fail students =20%+30%−10%=40%
If 40% failed then 60% will be passed.
Let total students be x.
Hence, 60% of x=144
⇒60/100×x=144
⇒x=144×100/60
⇒x=240
Therefore, total students is 240.
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