We're given the following probabilities:





(a) Yes,
and
are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.
(b) Use the definition of conditional probability to expand:


(c) By the law of total probability,

(d) Bayes' theorem says


I’m assuming the information you’ve given is for a picture. However, the picture isn’t showing.
Let the original number be
x
x
×
160
100
=
192
. This indicates an increase of 60%
x
=
192
×
100
160
x
=
120
25 is about 3.32% of 752.