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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
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- 3000
- 3500
- 4000
- 5000
Correct Option: D
Let the total number of candidates = x
∴ Number of candidates passed in English = 0.6x
Number of candidates passed in Maths = 0.7x
Number of candidates failed in both subjects = 0.2x
Number of candidates passed in at least one subject
= x – 0.2x = 0.8x
∴ 0.6 x + 0.7x – 2500 = 0.8 x
⇒ 1.3x – 0.8x = 2500
⇒ 0.5x = 2500
| ⇒ x = | = 5000 | 0.5 |
