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Question

In an exam 60% of the candidates passed in Maths and 70% candidates passed in English and 20% candidates failed in both subjects. If 2500 candidates passed in both subjects. The total number of candidates appeared in the examination was

A
3000
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B
3500
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C
4000
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D
5000
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Solution

The correct option is D 5000
According to question,
Candidates failed in english=(10060)%=40%
Candidates failed in Mathematics=(10070)%=30%
20% candidates failed in both.
candidates failed only in English=(4020)%=20%
Candidates only failed in mathematics =(3020)%=10%
Students passed in both subjects.
=100(20%+20%+10%)=50%

Now
50% of the students=2500 (given)

So total students=250050×100=5000

Option D is correct


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