In an examination 70% of the candidates passed in English. 80% passed in Mathematics. 10% failed in both the subjects. If 144 candidates passed in both, the total number of candidates were :
Options:
A . 240
B . 200
C . 375
D . 125
Answer: Option A Answer: (a)Let total number of candidates = 10070 candidates passed in English and 30 failed in it.80 candidates passed in Maths and 20 failed in it.10 candidates failed in English and Maths both.Out of 30 failed in English, 10 failed in Maths also.30 – 10 = 20 failed in English alone.Similarly, 20 – 10 = 10 failed in Maths alone.Total number of failures = 20 + 10 + 10 = 40100 – 40 = 60 candidates passed in both subjects.Now, if 60 candidates pass, total strength = 100For 144 candidates, total strength = $100/60 × 144$ = 240
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