The total number of students in a school is 1400, out of which 35% of the students are girls and the rest are boys. If 80% of the boys and 90% of the girls passed in an annual examination, then the percentage of the students who failed is:
Answer & explanation
Correct answer: option 1
Number of girls in school = (1400 × \(\frac{35}{100}\)) = 490
Number of boys = (1400 – 490) = 910
Passed boys = (80% of 910)
= (\(\frac{80}{100}\) × 910)
= 728
Failed boys = (910 – 728) = 182
Number of passed girls = (90% of 490)
= (\(\frac{9}{10}\) × 490)
= 441
Failed students = (490 – 441) = 49
Now,
Total number of failed students = (182 + 49) = 231
%age of failed students = \(\frac{231}{1400}\) × 100% = 16.5%