In a certain institute 25% of the boy and 35% of the girls attended the…

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In a certain institute 25% of the boy and 35% of the girls attended the seminar. If 40% of all the students are boys, what percent of all the students attended the seminar ?

  1. A.

    26%

  2. B.

    31%

  3. C.

    28%

  4. D.

    34%

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Show answer & explanation

Correct answer: B

Solution:

  1. Assume there are 100 students in total so percentages convert easily to counts.

  2. Boys = 40% of 100 = 40. Students from boys who attended = 25% of 40 = 10.

  3. Girls = 60% of 100 = 60. Students from girls who attended = 35% of 60 = 21.

  4. Total students who attended = 10 + 21 = 31 out of 100, i.e., 31%.

Answer: 31%

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