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In a test, 30% student failed in mathematics and 45% student failed in physics while 25% failed in both the subjects. Number of students failed in either subjects but not in both is what percent of students failed in mathematics?
  • a)
  • b)
    25%
  • c)
  • d)
    100%
  • e)
    48%
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a test, 30% student failed in mathematics and 45% student failed i...
Given
Student failed in mathematics = 30%
Student failed in Physics = 45%
Students failed in both subjects = 25%
Let, the total number of students be x.
∴ Number of students failed in mathematics = 0.30x
∴ Number of students failed in physics = 0.45x
∴ Number of students failed in both subjects = 0.25x
Number of students failed only in mathematics = 0.30x - 0.25x = 0.05x
Number of students failed only in physics = 0.45x - 0.25x = 0.20x
∴ Number of students failed in either subject but not in both is = 0.05x + 0.20x = 0.25x
Required percentage =
Hence, the correct option is (C).
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In a test, 30% student failed in mathematics and 45% student failed in physics while 25% failed in both the subjects. Number of students failed in either subjects but not in both is what percent of students failed in mathematics?a)b)25%c)d)100%e)48%Correct answer is option 'C'. Can you explain this answer?
Question Description
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