35% of the students in a college are girls and the rest are boys. The total number of students in the college is 2800. 75% of the boys and 85% of the girls passed the final examination. The percentage of total students who passed the final examination is:
Answer & explanation
Correct answer: option 4
Let Total number of students = 2800
Number of girls students = 35% of 2800= 980
Number of Boys students = 2800 - 980 = 1820
Number of passed Girls = 85% of 980 = 833
Number of passed Boys = 75% of 1820 = 1365
According to question ,
Total passed students = 1365 + 833 = 2198
Percentage of passed students = \(\frac{2198}{2800}\) × 100
= 78.5%