Question

in an examination 56% examines failed in Science and 54% failed in Nepali 25 students fail in both the subject if none of the examines passed in both the subject find the number of examines who passed in Science only find the number of examines who passed in Nepali only​

Answer 1

a) 115 students

b) 110 students

Step-by-step explanation:

Let x represent the total number of students.

56% examines failed in Science, hence 0.56 examines failed in Science. 54% examines failed in Nepali hence 0.54x examines failed in Nepali. 25 students fail in both the subject and none passed in both subjects, hence:

(0.54x - 25) + (0.56x - 25) + 25 = x

0.54x + 0.56x -x = 25 + 25 - 25

0.1x = 25

x = 250 students

a) The number of examines who failed in Science only = 0.56x - 25 = (0.56 * 250) - 25 = 115

b) The number of examines who failed in Nepali only = 0.54x - 25 = (0.54 * 250) - 25 = 110