REWRITING PERCENT EXPRESSIONS WORKSHEET

Problem 1 : 

To make a profit, stores mark up the prices on the items they sell. A sports store buys skateboards from a supplier for s dollars. What is the retail price for skateboards that the manager buys for $35 and $56 after a 42% markup ?

Problem 2 : 

A discount store marks down all of its holiday merchandise by 20% off the regular selling price. Find the discounted price of decorations that regularly sell for $16 and $23.

Problem 3 : 

A computer store used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.

Problem 4 : 

A product that regularly sells for $425 is marked down to $318.75. What is the discount rate ?

Problem 5 : 

A store uses a 40% markup on cost. Find the cost of a pair of shoes that sells for $63.

Detailed Answer Key

Problem 1 : 

To make a profit, stores mark up the prices on the items they sell. A sports store buys skateboards from a supplier for s dollars. What is the retail price for skateboards that the manager buys for $35 and $56 after a 42% markup ?

Solution : 

Step 1 : 

Use a bar model.

Draw a bar for the cost of the skateboard S.

Then draw a bar that shows the markup: 42% of S, or 0.42S.

These bars together represent the cost plus the markup.

That is

S + 0.42S

Step 2 :

Retail price is 

=  Original cost + Markup

=  S + 0.42S

=  1.42S

Step 3 : 

Use the expression to find the retail price of each skateboard.

S  =  $35 ----> Retail price  =  1.42($35)  =  $49.70

S  =  $56 ----> Retail price  =  1.42($56)  =  $79.52

Problem 2 : 

A discount store marks down all of its holiday merchandise by 20% off the regular selling price. Find the discounted price of decorations that regularly sell for $16 and $23.

Solution : 

Step 1 : 

Use a bar model.

Draw a bar for the regular price P.

Then draw a bar that shows the discount: 20% of P, or 0.2P.

The difference between these two bars represents the price minus the discount.

That is,

P - 0.2P

Step 2 :

Sale price is 

=  Original price - Markdown

=  p - 0.2p

=  1p - 0.2p

=  0.8p

Step 3 :

Use the expression to find the sale price of each decoration.

p  =  $16 --->  Sale price  =  0.8($16)  =  $12.80

p  =  $23 --->  Sale price  =  0.8($23)  =  $18.40

Problem 3 : 

A computer store used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.

Solution : 

Selling price (S.P) is 

=  (100 + M)% x C.P

Substitute M  =  40 and C.P  =  25.

=  (100 + 40)% x 25

=  140% x 25

=  1.4 x 25

=  35

So, the selling price is $35.

Problem 4 : 

A product that regularly sells for $425 is marked down to $318.75. What is the discount rate?

Solution : 

Regular price  =  $ 425

Marked down price  =  $ 318.75

Marked down value  =  425 - 318.75  =  106.25

Marked down rate  =  (106.25 / 425) x 100 %

Marked down rate  =  25 %

So, the marked down rate is 25 %

Problem 5 : 

A store uses a 40% markup on cost. Find the cost of a pair of shoes that sells for $63.

Solution : 

Selling price (S.P)  =  (100 + M)% x C.P

Substitute S.P  =  63 and M  =  40.    

63  =  (100 + 40)% x C.P 

63  =  140% x C.P

63  =  1.4 x C.P

Divide each side by 1.4.

45  =  C.P

So, the cost of a pair of shoes is $45.

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