1300 boys and 700 girls appeared in an examination, 80% of the boys and 70% of the girls passed in the exam, find the total percentage of failed students.20%23%23.5%25%
Question
1300 boys and 700 girls appeared in an examination, 80% of the boys and 70% of the girls passed in the exam, find the total percentage of failed students.20%23%23.5%25%
Solution
Step 1: Calculate the total number of students who appeared for the exam. This is 1300 boys + 700 girls = 2000 students.
Step 2: Calculate the number of boys who passed the exam. This is 80% of 1300 boys = 0.80 * 1300 = 1040 boys.
Step 3: Calculate the number of girls who passed the exam. This is 70% of 700 girls = 0.70 * 700 = 490 girls.
Step 4: Calculate the total number of students who passed the exam. This is 1040 boys + 490 girls = 1530 students.
Step 5: Calculate the number of students who failed the exam. This is the total number of students who appeared for the exam minus the total number of students who passed the exam = 2000 - 1530 = 470 students.
Step 6: Calculate the percentage of students who failed the exam. This is the number of students who failed the exam divided by the total number of students who appeared for the exam, multiplied by 100 = (470 / 2000) * 100 = 23.5%.
So, the total percentage of failed students is 23.5%.
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