Kuta Software - Infinite Pre-Algebra
Name___________________________________
Markup, Discount, and Tax
Date________________ Period____
Find the selling price of each item.
1) Cost of a sled: $99.50
Markup: 95%
2) Cost of a comic book: $3.95
Markup: 20%
3) Cost of an oil change: $18.00
Markup: 70%
4) Cost of a CD: $14.50
Markup: 30%
5) Cost of an MP3 player: $129.50
Markup: 60%
6) Cost of an oil change: $21.95
Markup: 65%
7) Cost of a pen: $0.95
Markup: 60%
8) Cost of a computer: $1,850.00
Markup: 75%
9) Original price of concert tickets: $100.00
Discount: 21%
10) Original price of a book: $18.50
Discount: 45%
11) Original price of a telescope: $99.99
Discount: 13%
12) Original price of a CD: $22.99
Discount: 5%
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Worksheet by Kuta Software LLC
13) Original price of a sled: $99.50
Discount: 50%
14) Original price of a camera: $554.99
Discount: 48%
15) Original price of a CD: $17.00
Discount: 50%
16) Original price of a CD: $22.95
Discount: 10%
17) Original price of a book: $49.95
Tax: 3%
18) Original price of a book: $90.50
Tax: 4%
19) Original price of an MP3 player: $99.50
Tax: 4%
20) Original price of a microphone: $129.99
Tax: 1%
21) Original price of a pen: $1.50
Tax: 4%
22) Original price of shorts: $19.99
Tax: 2%
23) Original price of an SUV: $42,000.00
Tax: 3%
24) Original price of a goldfish: $1.50
Tax: 5%
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra
Name___________________________________
Markup, Discount, and Tax
Date________________ Period____
Find the selling price of each item.
1) Cost of a sled: $99.50
Markup: 95%
2) Cost of a comic book: $3.95
Markup: 20%
$194.03
3) Cost of an oil change: $18.00
Markup: 70%
$4.74
4) Cost of a CD: $14.50
Markup: 30%
$30.60
5) Cost of an MP3 player: $129.50
Markup: 60%
$18.85
6) Cost of an oil change: $21.95
Markup: 65%
$207.20
7) Cost of a pen: $0.95
Markup: 60%
$36.22
8) Cost of a computer: $1,850.00
Markup: 75%
$1.52
9) Original price of concert tickets: $100.00
Discount: 21%
$3,237.50
10) Original price of a book: $18.50
Discount: 45%
$79.00
11) Original price of a telescope: $99.99
Discount: 13%
$10.18
12) Original price of a CD: $22.99
Discount: 5%
$86.99
©c m2u0E1T20 GKyuxtOaE 2SMoWfDt4wqaer9ed xLrL9CZ.K D SAHlJlF 5rXiBgthztOsu ArjeAsee7rzvfejdD.P g 9MAa1dEeu Swni4tuh8 kIgn6fcijn1int3em 5Pvrzeb-eATlrgbe9bXrVaR.R
$21.84
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Worksheet by Kuta Software LLC
13) Original price of a sled: $99.50
Discount: 50%
14) Original price of a camera: $554.99
Discount: 48%
$49.75
15) Original price of a CD: $17.00
Discount: 50%
$288.59
16) Original price of a CD: $22.95
Discount: 10%
$8.50
17) Original price of a book: $49.95
Tax: 3%
$20.66
18) Original price of a book: $90.50
Tax: 4%
$51.45
19) Original price of an MP3 player: $99.50
Tax: 4%
$94.12
20) Original price of a microphone: $129.99
Tax: 1%
$103.48
21) Original price of a pen: $1.50
Tax: 4%
$131.29
22) Original price of shorts: $19.99
Tax: 2%
$1.56
23) Original price of an SUV: $42,000.00
Tax: 3%
$20.39
24) Original price of a goldfish: $1.50
Tax: 5%
$43,260.00
$1.58
Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com
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Worksheet by Kuta Software LLC
EX.1 Growth Factor Calculating Percent Increase and Decrease Exponential Functions Learning Targets
Practice 6 Attend to precision.
F-­BF I can build a function. ! Write an explicit equation for an exponential situation described in words, graphs or in tables. Here, you will practice solving problems involving percent increase and decrease.
You may use a calculator for these exercises.
EXAMPLES:
Question:
Suppose an item costs $50.
If the price increases by 19%, and then decreases by 30%, the new price is:
Solution:
(0.7)(1.19)($50)=$41.65
Why?
To increase any amount by 19%, just multiply by 1.19:
x + 0.19x = 1x + 0.19x = 1.19x
Notice that when you increase, you multiply by a number greater than 1.
If you decrease any amount by 30%, then 70% remains:
x − 0.3x = 1x − 0.3x = 0.7x
Thus, to decrease any amount by 30%, just multiply by 0.7.
Notice that when you decrease, you multiply by a number less than 1.
Combining these ideas:
$50
(original amount)
(1.19)($50)
(new amount, after the 19% increase)
(0.7)·(1.19)($50)
(new amount, after the 30% decrease)
(0.7)(1.19)($50)=$41.65
(round dollar amounts (as needed) to two decimal places)
http://www.onemathematicalcat.org/algebra_book/online_problems/prob_percent_inc_dec.htm Page 1 of 2 What if we switch the order of applying the increase/decrease?
$50
(original amount)
(0.7)($50)
(new amount, after the 30% decrease)
(1.19)·(0.7)($50)
(new amount, after the 19% increase)
(1.19)(0.7)($50)=$41.65
(round dollar amounts (as needed) to two decimal places)
Same result!
Since (1.19)(0.7) = (0.7)(1.19), you can do the multiplication in whatever order you prefer.
1. Suppose an item costs x.
If the price decreases by 38%, and then increases by 85%, the new price is:
2. Suppose an item costs x.
If the price decreases by 50%, and then increases by 50%, the new price is:
3. Suppose an item costs x.
If the price increases by 50%, and then increases by 50%, the new price is:
4. Suppose an item costs x.
If the price decreases by 50%, and then increases by 50%, the new price is:
5. Suppose an item costs $100.
If the price decreases by 50%, and then decreases by 50%, the new price is:
1. Answer:
(1 + 0.85)(1 − 0.38)(x) = (1.85)(0.62)x = 1.15x
In this exercise, all answers are rounded to two decimal places.
2. Answer:
(1.5)(0.5)(x) = 0.75x
3. Answer:
(1.5)(1.5)(x) = 2.25x
4. Answer:
(0.5)(0.5)(x) = $25.00
http://www.onemathematicalcat.org/algebra_book/online_problems/prob_percent_inc_dec.htm Page 2 of 2 Markup & Discount Problems
EX.1 Growth Factor
Name:
Teacher:
Date:
Period:
1. Games Galore Super Store buys the latest video game at a wholesale price of $30.00 . The
markup rate at Game’s Galore Super Store is 40% . You use your allowance to purchase the
game at the store. How much will you pay, not including tax?
a. Write an equation to find the price of the game at Games Galore Super Store.
Explain your equation.
b. Solve the equation from part (a).
c. What was the total markup of the video game? Explain.
d. You and a friend are discussing markup rate. He says that an easier way to find the total
markup is by multiplying the wholesale price of $30.00 by 40% . Do you agree with him?
Why or why not?
2. A golf store purchases a set of clubs at a wholesale price of $250.00 . Mr. Edmond learned that
the clubs were marked up 200% . Is it possible to have a percent increase greater than 100% ?
What is the retail price of the clubs?
S.37
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Markup & Discount Problems 2
EX.1 Growth Factor
Name:
Teacher:
Date:
Period:
1. The cost of a New York Yankees baseball cap is $24.00 . The local sporting goods store sells it for
$30.00 . Find the markup rate.
2. A ski shop has a markup rate of 50% . Find the selling price of skis that cost the storeowner
$300.00 .
3. A tennis supply store pays a wholesaler $90.00 for a tennis racquet and sells it for $144.00 .
What is the markup rate?
4. A shoe store is selling a pair of shoes for $60.00 that has been discounted by 25% . What was the
original selling price?
5. A shoe store has a markup rate of 75% and is selling a pair of shoes for $133.00 . Find the price
the store paid for the shoes.
S.37
© 2013 Common Core, Inc. Some rights reserved. commoncore.org
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.