In an examination, 85% of the candidates passed in English and 65% of the candidates passed in Mathematics, but 5% failed in both of these subjects. If 154 candidates passed in both the subjects, the number of candidates who appeared in an examination was:
Given, 5% failed in both the subjects, so candidates passed in at least one subject=95%
Let total candidates=x, then 85% of x + 65% of x - 154 = 95% of x
0.85x + 0.65x - 154 = 0.95x
0.55x = 154
x = 280
Correct Option 8)