In an exam, 80% passed in math, 72% passed in science, and 13% failed in both, If 312 students passed in both the subjects. Find the total number of students who appeared in the exam
Share
In an exam, 80% passed in math, 72% passed in science, and 13% failed in both, If 312 students passed in both the subjects. Find the total number of students who appeared in the exam
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Total number of students who appeared in the examination = 480
Step-by-step explanation:
Let total number of students who appeared in the exam be x
Number of students who passed in Math = 80% of x
= 0.8·x
Number of students who passed in Science = 72% of x
= 0.72·x
Number of students who failed in both = 13% of x
= 0.13·x
Number of students who passed in both = 312
⇒ Total students = 0.8·x + 0.72·x + (0.13·x - 312)
⇒ 0.8·x + 0.72·x + (0.13·x - 312) = x
⇒ 1.65·x - x = 312
⇒ 0.65·x = 312
⇒ x = 480
Hence, Total number of students who appeared in the examination = 480