Question

In an examination 70% passed in mathematics 75% passed in science and 10% failed in both subjects.If 220 examinees passed in both find the total number of students by using veen- diagram. Also find the number of students who passed only in mathematics

Answer 1

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Increase and Decrease in Percentage

In an examination 80% stude...

MATHS

In an examination 80% students passed in English and 70% students passed in Maths. 10% students failed in both the subjects. If 144 students passed in both the subjects find the total number of students.

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ANSWER

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

⇒

100

60

×x=144

⇒x=

60

144×100

⇒x=240

Therefore, total students is 240.