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Problems
Contests
National and Regional Contests
USA Contests
USA - Middle School Tournaments
Math Invitational for Girls
2020 MIG
15
15
Part of
2020 MIG
Problems
(1)
2020 Individual #15
Source:
5/1/2022
In the city of Urbextorto, the sales tax is
25
%
25\%
25%
. A certain clothing store in the city is currently giving an
n
%
n\%
n
%
discount on all items, and
n
n
n
is special in that, after both the sales tax and discount are applied, a
$
20
\$20
$20
shirt ends up costing
$
20
\$20
$20
. Find the value of
n
n
n
.
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
5
<
s
p
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n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
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′
>
(
B
)
<
/
s
p
a
n
>
10
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
20
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
25
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
50
<span class='latex-bold'>(A) </span>5\qquad<span class='latex-bold'>(B) </span>10\qquad<span class='latex-bold'>(C) </span>20\qquad<span class='latex-bold'>(D) </span>25\qquad<span class='latex-bold'>(E) </span>50
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
5
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
10
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
20
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
25
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
50
2020 Individual