Multiple choice general knowledge math & puzzles

The boys and girls in a school are in the ratio 3 : 7. 25% of the boys and 20% of the girls are scholarship holders.How much per cent of the total students do not get scholarships?

  1. 75.8

  2. 76.5

  3. 78.5

  4. 82.5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total students be 100. Boys = 30 (3/10), Girls = 70 (7/10). Scholarship holders: Boys = 7.5 (25% of 30), Girls = 14 (20% of 70). Total with scholarship = 21.5. Without scholarship = 100 - 21.5 = 78.5%. Therefore 78.5% of students do not get scholarships.

AI explanation

Taking boys:girls = 3:7, say 3x boys and 7x girls (10x total). Non-scholarship boys are 75% of 3x = 2.25x, and non-scholarship girls are 80% of 7x = 5.6x, giving 7.85x students without scholarships out of 10x total, which is 78.5%.

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