Students without a scholarship — Aptitude Question
Students without a scholarship: In a school 60% of the students are boys and the rest girls. Answer and worked solution on CodeKairo.
- Topic: Percentages
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 75 seconds
Question
In a school 60% of the students are boys and the rest girls. 25% of the boys and 50% of the girls receive a scholarship. What percent of students do not receive one?
Options
- 35%
- 50%
- 65%
- 75%
Show the answer and the worked solution
Correct answer: C. 65%
Worked solution
- Boys with a scholarship = 60% × 25% = 15% of all students.
- Girls with one = 40% × 50% = 20%.
- Total with a scholarship = 35%, so without = 100% − 35% = 65%.
Answer: 65%.
The idea
Apply each rate to its own subgroup, express both as a percentage of the whole, then subtract. Averaging 25% and 50% is wrong because the groups are unequal in size.
Shortcut. Without a scholarship: 75% of boys and 50% of girls, weighted 0.6 : 0.4 → 45 + 20 = 65%. Elimination alone works: only 65% lies strictly between 50% and 75%.
Common trap. 35% — computing the scholarship holders correctly (15% + 20%) and stopping, when the question asks for those without one.