Name: ____________________________________________________ Date: _______________ Period: _____
Percent Equations
Mark-Up: the amount added to the cost to determine the asking/selling price.
Mark-Down: a reduction in price (a discount).
A Mark-Up Example: A sweater costs JCrew $30. They are going to mark it up 75% and sell it to the
customers. How much are they going to sell it to the customers for?
Proportion Method:
Equation Methods:
75
𝑥
=
100
30
original cost + (mark-up %)(original cost) = selling price
𝑥 = $22.50
They are going to mark it up by $22.50
so they will sell it to the customer for
$52.50.
30 + (0.75)(30) = x
30 + 22.50
$52.50
(Total % with the mark-up) (original price) = selling price
(1.75)(30) = 𝑥
They are going to sell it to the customer for $52.50.
A Mark-Down (discount) Example: A guitar at Music Town costs $650. Today it is being marked down 30%.
How much is Music Town going to sell it to the customers for?
Equation Methods:
Proportion Method:
30
𝑥
=
100
650
𝑥 = $195.00
original cost - (mark-down %)(original cost) = selling price
650 - (0.30)(650) = x
650 - 195
$455
They are going to mark it down by $195
so it would cost $455 to buy today.
(Total % - the mark-down%) (original price) = selling price
(0.70)(650) = 𝑥
They are going to sell it to the customer for $455.
Write an equation & solve to find the selling price of each item. Round final answers to the nearest cent.
1) Cost of a sled: $99.50 Mark-up: 95% Equation: ___________________________________________
2) Cost of a comic book: $3.95 Mark-up: 20% Equation: ________________________________________
3) Cost of a CD: $14.50 Mark-up: 30% Equation: _____________________________________________
4) Original price of a book: $18.50 Mark-down: 45% Equation: __________________________________
5) Original price of a telescope: $99.99 Mark-down: 13% Equation: ______________________________
6) Original price of a DVD: $22.99 Mark-down: 5% Equation: ____________________________________
Tax & Tip work the same way as MARK-UP. Write an equation & solve to find the selling price of each item.
Round final answers to the nearest cent.
7) Original price of a book: $49.95 Tax: 3% Equation: __________________________________________
8) Original price of a stereo: $99.50 Tax: 4% Equation: _________________________________________
9) Original price of a meal: $19.99 Tip: 18% Equation: _________________________________________
10) Original price of an SUV: $42,000 Tax: 3% Equation: ________________________________________
Write an equation and work backwards (showing your steps) to find the ORIGINAL price of the items below.
11) Original price: ? Mark-Up: 42% Selling Price: $120.70
Equation: _______________________________________________________
12) Original price: ? Tip: 13% Final Cost: $103.96
Equation: _______________________________________________________
13) Original price: ? Mark-Down: 35% Selling Price: $482.30
Equation: _______________________________________________________
14) Original price: ? Mark-Down: 55% Selling Price: $3926.25
Equation: _______________________________________________________
15) Original price: ? Tax: 8% Selling Price: $451.44
Equation: _______________________________________________________
16) Original price: ? Tax: 4% Selling Price: $101.92
Equation: _______________________________________________________
17) Original price: ? Tip: 7% Final Cost: $7,264.23
Equation: _______________________________________________________