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The ratio of the number of boys and girls is 3:2 if 20 % of the boys and 30 % of the girls are scholarship holders then the percentage of students who do not get scholarship is_________?

Correct answer: D. 76

  • A. 50
  • B. 72
  • C. 75
  • D. 76

Explanation

Take the numbers of boys and girls as 3x and 2x, giving 5x students. Scholarship holders are 20% of 3x = 0.6x and 30% of 2x = 0.6x, so 1.2x receive scholarships; the non-scholarship percentage is (5x − 1.2x)/(5x) × 100 = 76%. Students may choose 75% by averaging 20% and 30% without weighting them by the different group sizes.

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