Question

In an examination, 80% of candidates passed in English and 75% of candidates passed in Mathematics. If 70% of candidates passed in both these subjects, then what per cent of candidates failed in both the subjects?
1. 15%
2. 30%
3. 20%
4. 32%

Answer 1

Correct Answer - Option 1 : 15%

Given:

In an examination, 80% of candidates passed in English and 75% of candidates passed in Mathematics. If 70% candidates passed in both these subjects

Concept Used:

The number of candidates who failed in both subjects = The total number of candidates - The total number of candidates who passed

Calculation:

According to the question, we have

The total candidates passed = (80% + 75% - 70%)

⇒ 85%

Now,

The candidates failed in both subjects = 100% - 15%

⇒ 15%

∴ 15% of candidates failed in both subjects.