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Math Problems
Grade 7
Find the percent: tax, discount, and more
Q
1
1
1
. A shopkeeper marks shirts at
25
%
25\%
25%
above cost price then allows a discount of
10
%
10\%
10%
. What is the profit or loss
%
\%
%
?
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After sales tax, a
$
300
\$300
$300
rowboat costs
$
330
\$330
$330
. What is the sales tax percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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With sales tax, it costs
$
506
\$506
$506
to buy a
$
460
\$460
$460
picnic table. What is the sales tax percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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A store manager decides to clear out crystal sculptures to make room for new inventory. Now an
$
828
\$828
$828
crystal sculpture will be on sale for only
$
414
\$414
$414
. What is the discount, as a percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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An entrepreneur buys some furnaces. Each one costs
$
580
\$580
$580
and resells online for
$
899
\$899
$899
. What is the mark-up, as a percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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A store manager instructs some new trainees that a golf club priced at
$
200
\$200
$200
winds up costing a customer
$
204
\$204
$204
once the sales tax is included. What is the sales tax percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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During a sale, Eva found barbecue grills on sale for
$
238
\$238
$238
that had previously cost
$
595
\$595
$595
. What percentage is the discount?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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A shopper wants to ensure he has enough cash to purchase a
$
71
\$71
$71
tent, so he asks a clerk what the total will be with the sales tax included. The clerk tells him the total will be
$
71.71
\$71.71
$71.71
. What is the sales tax percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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With sales tax, it costs
$
624
\$624
$624
to buy a
$
600
\$600
$600
set of golf clubs. What is the sales tax percentage?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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Joe bought a nightstand for
$
12
\$12
$12
that was originally priced at
$
20
\$20
$20
. What percentage is the discount?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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Lee, a sign maker for a store, makes a sign advertising fountains for sale at a price of
$
851
\$851
$851
each. However, the fountains only cost the store
$
370
\$370
$370
each. What is the mark-up, as a percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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Austen, a sign maker for a store, makes a sign advertising leather chairs for sale at a price of
$
612
\$612
$612
each. However, the leather chairs only cost the store
$
300
\$300
$300
each. What is the mark-up, as a percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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An entrepreneur buys some washing machines. Each one costs
$
340
\$340
$340
and resells online for
$
765
\$765
$765
. What percentage is the mark-up?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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During a sale, Nicole found cutting boards on sale for
$
5
\$5
$5
that had previously cost
$
20
\$20
$20
. What percentage is the discount?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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While looking at some reports, a store manager notes that sleeping bags that retail for
$
60
\$60
$60
end up costing customers
$
61.80
\$61.80
$61.80
once the sales tax is added. What is the sales tax percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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Snowboards that were once selling for
$
380
\$380
$380
are now selling for
$
152
\$152
$152
. What is the discount percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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A store owner bought bicycles for
$
100
\$100
$100
and sold them for
$
183
\$183
$183
. What is the mark-up, as a percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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A specialty shop procures several crystal vases for
$
40
\$40
$40
apiece and offers them to customers for
$
116
\$116
$116
each. What is the mark-up, as a percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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Oil paintings that were once selling for
$
835
\$835
$835
are now selling for
$
501
\$501
$501
. What is the discount, as a percentage?
\newline
Write your answer using a percent sign (%).
\newline
_____
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Complete the statements below by dragging the correct symbols into the spaces. You can use each symbol more than once.
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Evan invests money in an account paying a simple interest of
2
%
2 \%
2%
per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
\newline
Answer:
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Josue wants to buy a car for
$
12
,
000
\$ 12,000
$12
,
000
, but can only get a loan from the bank for
$
10
,
080
\$ 10,080
$10
,
080
. What percentage does Josue have to put down in order to pay for the car?
\newline
Answer:
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Isaiah wants to buy a home for
$
670
,
000
\$ 670,000
$670
,
000
, but can only get a loan from the bank for
$
549
,
400
\$ 549,400
$549
,
400
. What percentage does Isaiah have to put down in order to pay for the home?
\newline
Answer:
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Kaj wants to buy a car for
$
11
,
000
\$ 11,000
$11
,
000
, but can only get a loan from the bank for
$
10
,
120
\$ 10,120
$10
,
120
. What percentage does Kaj have to put down in order to pay for the car?
\newline
Answer:
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Carson wants to buy a car for
$
17
,
500
\$ 17,500
$17
,
500
, but can only get a loan from the bank for
$
14
,
000
\$ 14,000
$14
,
000
. What percentage does Carson have to put down in order to pay for the car?
\newline
Answer:
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The price of a visit to the dentist is
$
50
\$ 50
$50
. If the dentist fills any cavities, an additional charge of
$
100
\$ 100
$100
per cavity gets added to the bill.
\newline
If the dentist finds
n
n
n
cavities, what will the cost of the visit be?
\newline
Write your answer as an expression.
\newline
$
\$
$
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The garden club earned
$
15
\$ 15
$15
per hour by weeding neighborhood gardens for
t
t
t
hours. A generous donor has agreed to double their earnings.
\newline
How much did the garden club earn in all?
\newline
Write your answer as an expression.
\newline
$
\$
$
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A company has the goal of doubling their revenue from
32
32
32
million dollars to
64
64
64
million dollars over the next
2
2
2
years. If the company increases its revenue by
50
%
50 \%
50%
in the first year, by approximately what percentage must the company increase their revenue in the second year in order to reach their goal?
\newline
Choose
1
1
1
answer:
\newline
(A)
25
%
\mathbf{2 5 \%}
25%
\newline
(B)
33
%
33 \%
33%
\newline
(C)
50
%
50 \%
50%
\newline
(D)
100
%
100 \%
100%
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A store holiday sale has an item marked down by
$
10
\$ 10
$10
with an additional discount of
25
%
25 \%
25%
off the new price. If the final price was
$
36.27
\$ 36.27
$36.27
, what was the original?
\newline
Choose
1
1
1
answer:
\newline
(A)
$
19.70
\$ 19.70
$19.70
\newline
(B)
$
48.36
\$ 48.36
$48.36
\newline
(C)
$
58.36
\$ 58.36
$58.36
\newline
(D)
$
61.93
\$ 61.93
$61.93
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In the west region of the US, the ratio of densely vegetated land to sparsely vegetated land is
11
11
11
:
18
18
18
. In the central region of the US, the ratio is
3
:
1
3: 1
3
:
1
. What is the difference in percentage of densely vegetated land from the west region to the central region?
\newline
Choose
1
1
1
answer:
\newline
(A)
27.2
%
27.2 \%
27.2%
\newline
(B)
27.8
%
\mathbf{2 7 . 8 \%}
27.8%
\newline
(C)
37.1
%
37.1 \%
37.1%
\newline
(D)
37.9
%
37.9 \%
37.9%
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A college writing seminar increased its size by
50
%
50 \%
50%
from the first to the second day. If the total number of students in the seminar on the second day was
15
15
15
, how many students were in the class on the first day?
\newline
Choose
1
1
1
answer:
\newline
(A)
8
8
8
\newline
(B)
10
\mathbf{1 0}
10
\newline
(C)
23
23
23
\newline
(D)
30
30
30
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The rate of return is the profit or loss on an investment as a percent of the initial investment cost. What is the rate of return on an investment that is now worth
$
20
,
880
\$ 20,880
$20
,
880
and originally cost
$
18
,
000
\$ 18,000
$18
,
000
?
\newline
(Ignore the
%
\%
%
symbol when entering your answer. For example, if the answer is
12
%
12 \%
12%
, enter
12
12
12
.)
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Grace examines two different size bottles of the same laundry detergent. The price for the
100
100
100
-ounce bottle is
$
9.99
\$ 9.99
$9.99
and the price for the
150
150
150
-ounce bottle is
$
12.99
\$ 12.99
$12.99
. How much money will Grace save per
100
100
100
ounces if she purchases the larger bottle?
\newline
Choose
1
1
1
answer:
\newline
(A)
$
0.01
\$ 0.01
$0.01
\newline
(B)
$
1.33
\$ 1.33
$1.33
\newline
(C)
$
2.00
\$ 2.00
$2.00
\newline
(D)
$
8.66
\$ 8.66
$8.66
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p
(
t
)
=
100
(
1
2
)
t
8.02
p(t)=100\left(\frac{1}{2}\right)^{\frac{t}{8.02}}
p
(
t
)
=
100
(
2
1
)
8.02
t
\newline
Radioactive isotopes are unstable atoms that decay into other atoms. lodine
−
131
-131
−
131
is a radioactive isotope. The function models
p
p
p
, the percentage of iodine
−
131
-131
−
131
atoms remaining in a sample after
t
t
t
days. To the nearest tenth of a percent, what percent of iodine
−
131
-131
−
131
atoms remain in the sample after
10
10
10
days?
\newline
(Ignore the
%
\%
%
symbol when entering your answer. For example, if the answer is
11.2
%
11.2 \%
11.2%
, enter
11
11
11
.
2
2
2
.)
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A store purchased canoes for
$
300
\$300
$300
and sold them for
$
435
\$435
$435
. What percentage is the mark-up?
\newline
Write your answer using a percent sign (
%
\%
%
).
\newline
_____
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