In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidates passed in both the subjects, the number of candidates who appeared at the examination was
Options:
A . 4000
B . 3500
C . 5000
D . 3000
Answer: Option C Answer: (c)Let the total number of candidates = xNumber of candidates passed in English = 0.6xNumber of candidates passed in Maths = 0.7xNumber of candidates failed in both subjects = 0.2xNumber of candidates passed in atleast one subject = x – 0.2x = 0.8x0.6 x + 0.7x – 2500 = 0.8 x1.3x – 0.8x = 25000.5x = 2500 ⇒ $x = 2500/0.5 = 5000$
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