Alright this equation has two big steps. First we need to find the price after it was marked up, then we need to take that number and find the discounted price.
To find the cost after a percent of it was added, we just need to multiply the two together and add.
=
$
23.50
+
(
$
23.50
⋅
(
63
%
100
)
)
(we divide by 100 to get the number out of a percent)
=
$
23.50
+
(
$
23.50
⋅
0.63
)
=
$
23.50
+
$
14.81
=
$
38.31
Ok now that we have the number after the price increase, we now need to find the final answer after a discount of
50
%
(do the exact same idea as above but switch the sign)
=
$
38.31
−
(
$
38.31
⋅
(
50
%
100
)
)
=
$
38.31
−
(
$
38.31
⋅
0.5
)
=
$
38.31
−
$
19.16
=
$
19.15