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In an examination 80% candidates passed in English and 85% candidates passed in Mathematics. If 73% candidates passed in both these subjects, then what per cent of candidates failed in both the subjects ?
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- 8%
- 15%
- 27%
- 35%
Correct Option: A
Let total candidates be 'x'
Percentage of the candidates passing in English or Mathematics or both
= n(E) + n(M) – n (E ∩ M)
= 80 + 85 – 73 = 92
⇒ Percentage of candidates who failed in both the subjects
= 100 – 92 = 8 or 8%
