# APPLICATIONS OF PERCENT WORKSHEET

Applications of percent worksheet :

Worksheet given in this section will be much useful for the students who would like to practice solving real life application problems on percentage.

## Applications of Percent Worksheet - Problems

Problem 1 :

Marcus buys a varsity jacket from a clothing store in Anaheim. The price of the jacket is \$80 and the sales tax is 8%. What is the total cost of the jacket ?

Problem 2 :

Terry deposits \$200 into a bank account that earns 3% simple interest per year. What is thetotal amount in the account after 2 years ?

Problem 3 :

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 4 :

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 5 :

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

## Applications of Percent Worksheet - Solutions

Problem 1 :

Marcus buys a varsity jacket from a clothing store in Anaheim. The price of the jacket is \$80 and the sales tax is 8%. What is the total cost of the jacket ?

Solution :

Step 1 :

Use a bar model to find the amount of the tax.

Draw a bar for the price of the jacket, \$80. Divide it into 10 equal parts. Each part represents 10% of \$80, or \$8.

Then draw a bar that shows the sales tax: 8% of \$80.

Because 8% is 4/5 of 10%, the tax is 5/4 of one part of the whole bar.

Each part of the whole bar is \$8.

So, the sales tax is 5/4 of \$8.

4/5 × \$8 = \$6.40

The sales tax is \$6.40.

Step 2 :

To find the total cost of the jacket, add the price of the jacket and the sales tax.

Jacket price + Sales tax = Total cost

\$80 + \$6.40  =  \$86.40

Hence, the total cost of the jacket is \$86.40.

Problem 2 :

Terry deposits \$200 into a bank account that earns 3% simple interest per year. What is thetotal amount in the account after 2 years ?

Solution :

Step 1 :

Find the amount of interest earned in one year. Then calculate the amount of interest for 2 years.

Write 3% as a decimal : 0.03

Interest rate x Initial deposit  =  Interest for 1 year

0.03 x \$200  =  \$6

Interest for 1 year x 2 years  =  Interest for 2 years

\$6 x 2  =  \$12

Step 2 :

Add the interest for 2 years to the initial deposit to find the total amount in his account after 2 years.

Initial deposit  +  Interest for 2 years  =  Total

\$200 + \$12  =  \$212

Hence. the total amount in the account after 2 years is \$212.

Problem 3 :

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 = Original cost + Markup

= S + 0.42S

= 1S + 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 4 :

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  =  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 5 :

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) = (100+M)% x C.P

Here, M = 40, C.P = \$25

Then, S.P = (100 + 40)% x 25

S.P = 140% x 25

S.P = 1.4 x 25  =  \$35

Hence, the selling price is \$35.

After having gone through the stuff given above, we hope that the students would have understood, how to solve real life application problems on percentage.

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