In a class, 15% of total number of students failed in Science, 5% of total number of students failed in Maths and 10% of total number of students failed in both.How much percentage of students passed in both Maths and Science?
Question
In a class, 15% of total number of students failed in Science, 5% of total number of students failed in Maths and 10% of total number of students failed in both.How much percentage of students passed in both Maths and Science?
Solution
To find the percentage of students who passed both subjects, we first need to add the percentages of students who failed each subject: 15% (Science) + 5% (Maths) = 20%.
However, since the 10% of students who failed both subjects are included in both of the failure rates, we've counted them twice. So, we need to subtract that 10% from our total.
So, 20% (total failure rate) - 10% (students who failed both) = 10%.
This 10% represents the total percentage of students who failed either Science or Maths.
To find the percentage of students who passed both, we subtract this from 100% (the total number of students).
So, 100% - 10% = 90%.
Therefore, 90% of students passed in both Maths and Science.
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