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In a class, 40% students failed in history and 30% failed in geography. If 15% of the students failed in both the subjects. What percentage of students passed in both the subjects?45%50%65%70%

Question

In a class, 40% students failed in history and 30% failed in geography. If 15% of the students failed in both the subjects. What percentage of students passed in both the subjects?45%50%65%70%

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Solution

To solve this problem, we need to add the percentages of students who failed in history and geography, and then subtract the percentage of students who failed in both subjects (since we've counted them twice).

Here's the step-by-step calculation:

  1. Add the percentage of students who failed in history and geography: 40% + 30% = 70%
  2. Subtract the percentage of students who failed in both subjects: 70% - 15% = 55%

This means that 55% of the students failed in at least one of the subjects.

To find the percentage of students who passed in both subjects, we subtract this from 100%:

100% - 55% = 45%

So, 45% of the students passed in both subjects.

This problem has been solved

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