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Applying Percents
Mathematics, Grade 7
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Study Guide Applying Percents Mathematics, Grade 7
❮
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3
❯
APPLYING
PERCENTS
Applying
percents
is
a
term
that
refers
to
the
different
ways
that
percents
can
be
used.
The
percent
of
change
refers
to
the
percent
an
amount
either
increases
or
decreases
based
on
the
previous
amounts
or
numbers.
The
percent
of
change
can
be
used
when
determining
the
percent
increase
of
the
cost
of
any
item
over
time,
for
example
movie
tickets,
clothing
or
food.
It
can
also
be
used
to
determine
the
percent
decrease
in
the
value
of
any
item
over
time
such
as
a
car,
house
or
boat.
Applying
percents
also
means
to
calculate
simple
interest
using
the
interest
equation,
I
=
P
· r
· t, w
here
P
is
the
principal;
r
is
the
rate
and
time
is
the
time.
In
this
equation,
the
rate
is
a
percent
that
is
changed
to
a
decimal
and
then
calculated.
Calculating
discounts,
sales
tax
and
tip
are
others
ways
to
apply
percents
in
real
life
applications.
How
to
apply
percents
Percent
increase
or
decrease
can
be
found
by
using
the
formula:
percent
increase/decrease
=
the
difference
of
the
increase
or
decrease
divided
by
the
original
amount.
If
a
number
changes
from
33
to
89,
the
percent
of
increase
would
be:
Percent
of
increase
=
(89
-33)
÷
33
=
56
÷
33
≈
1.6969
≈170%
When
a
number
decreased,
the
percent
of
decrease
is
found
using
the
same
formula.
If
a
number
changes
from
75
to
55,
the
percent
of
decrease
would
be:
Percent
of
decrease
=
(75
-
55)
÷
75
=
20
÷
75
≈
.266667
≈
27%
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
Simple
interest
is
also
calculated
using
percents.
The
interest
equation,
I
=
P
· r
· t, is
used
to
find
the
simple
interest
when
given
the
principle,
rate
and
time
are
given.
If
interest
is
given,
along
with
two
other
values,
such
as
rate
or
time,
inverse
operations
can
be
used
to
solve
for
the
missing
value.
For
example,
how
long
should
$1000
be
in
an
account
at
a
rate
of
5%
in
order
to
earn
$200
in
interest?
Ex.
I
=
P
· r
· t
→
200
=
1000
·
5%
·
t
→
200
=
(1000)(.05)t
→
200
=50t
→
200/50
=
t
→
4
=
t
Since
t
=
4,
it
means
that
the
money
should
be
in
the
account
for
4
years
in
order
to
earn
$200
interest.
Applying
percents
can
also
be
used
to
find
the
sales
tax
on
a
bill,
the
tip
for
a
bill
or
the
discount
if
an
item
is
marked
down
a
certain
percent.
Ex.
The
bill
is
$53
and
the
tax
is
8%,
how
much
tax
is
there?
To
find
the
tax,
multiply
$53
by
.08,
to
get
the
tax
amount
of
$4.24.
The
same
is
done
when
figuring
a
tip
or
discount
off
clothing
or
any
item.
The
percent
of
discount
can
also
be
found
by
using
the
percent
decrease
formula.
For
example,
if
a
dining
room
table
is
originally
$899
and
now
it
is
marked
$699,
the
percent
discount
would
be:
Percent
discount
=
(899
-
699)
÷
899
=
200
÷
899
≈
.2225
≈
22%
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
Try
This!
1.
What
is
the
percent
increase
of
a
gallon
of
milk
that
was
originally
$1.79
and
is
now
$2.29?
2.
What
is
the
percent
decrease
in
the
value
of
a
boat
that
originally
cost
$12,000
and
now
sells
for
$8,000?
3.
What
is
the
simple
interest
using,
I
=
P
·
r
·
t:
P
=
$1000,
r
=
8%,
t
=
2
years
P
=
$5000,
r
=
4%,
t
=
1
year
4.
What
is
the
missing
value
using,
I
=
P
·
r
· t:
I
=
$500,
r
=
8%,
t
=
2
years
I
=
$50,
P
=
$2000,
t
=
1
year
5.
What
is
10%
tax
on
a
bill
of
$63?
6.
What
is
15%
tip
on
a
bill
of
$74
7.
What
is
a
25%
discount
on
a
total
of
$30?
8.
What
is
the
percent
discount
on
a
desk
that
originally
cost
$99
and
now
costs
$59?
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
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