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Question

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.

A
220
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B
230
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C
240
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D
250
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Solution

The correct option is A 240
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

60100×x=144

x=144×10060

x=240

Therefore, total students is 240.

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