question_answer

In an exam, 60% of the candidates passed in Maths and 70% candidates passed in English and 10% candidates failed in both the subjects. If 300 candidates passed in both the subjects, then find he total number of candidates appeared in the exam, if they took test in only two subjects viz Maths and English.

A) 730

B) 750

C) 550

D) 780

Correct Answer: B

Solution :

[b] Fail in both subjects =10% \[\therefore \]Total number of candidates failed in atleast one      Subject \[=30+10+20=60%\] and total number of candidates passed in both the subjects \[=100-60=40%\] Let total number of candidates appeared in exam = x \[\therefore \]      \[\frac{40x}{100}=300\] \[\Rightarrow \]   \[x=750\] Hence, total 750 candidates appeared in exam.