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If an examination 63% of the candidates in English,65% passed in Mathematics, and 27% failed in both subjects.What is the pass percentage?

Question

If an examination 63% of the candidates in English,65% passed in Mathematics, and 27% failed in both subjects.What is the pass percentage?

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Solution

To solve this problem, we need to understand that the total percentage of students is always 100%.

  1. First, let's add the percentage of students who passed English and Mathematics: 63% + 65% = 128%.

  2. However, by doing this, we have counted twice the students who passed both subjects. To correct this, we need to subtract the percentage of students who failed both subjects (because if they failed, they couldn't have passed): 128% - 27% = 101%.

  3. But we have a problem here. The total percentage can't be more than 100%. This discrepancy is because some students passed in both subjects and we don't have this exact percentage.

So, without additional information, we can't accurately calculate the pass percentage.

This problem has been solved

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