Question

In an examination, 56% of the candidates failed in English and 48% failed in Science. If 18% failed in both
subjects, find the percentage of those who passed in bo
A. 14%
B. 25%
C. 12%
D. 20%
​

Answer 1

Answer:

A.14% of the candidates passed in both

Answer 2

SOLUTION

Let the set of percent of candidates who failed in English be A & in science be B.

Therefore,

n(A)= 56

n(B)= 48

& n(A intersection B) = 18

Percentage of who failed at least in one of then= n(AUB)

=)n(A) +n(B)-n(A intersection B)

=) 56+48 -18 = 86%

therefore,

86% of the students failed in either English or Science or both.

so, (100-86)%

=) 14% passed in both. [answer]

OPTION (A)✓

Hope it helps