DISCOUNTS AND MARKUPS WORKSHEET

Problem 1 : 

Admission to a zoo is $7 and there is a discount of 20% for students. How much is the discount? How much should a student pay?

Problem 2 : 

A $220 bicycle was on sale for 60% off. Find the sale price.

Problem 3 : 

Ray paid $12 for a $15 T-shirt. What was the percent discount?

Problem 4 : 

What is the final price on a $185 leather jacket that is on sale for 40% off?

Problem 5 : 

Neal bought a book on sale for $3.60. It was originally priced at $12. What was Neal’s discount as a percent?

Problem 6 : 

Lorraine buys bangles at a wholesale cost of $50 each. He then marks up the price by 40% and sells the bangles. What is the amount of the markup? What is the selling price?

Problem 7 : 

William bought an item for $80. The wholesale cost was $64. What was the percent markup?

Problem 8 : 

A video game has a 70% markup. The wholesale cost is $9. What is the selling price and the amount of the markup?

Problem 9 : 

Yolanda bought a video for $19.80 that was priced at a 65% markup over the manufacturer’s cost. What was manufacturer's cost?

Problem 10 : 

Randy buys a hat for $16.50 that includes a sales tax of $1.50. If the wholesale cost of each hat is $12, find the markup as a percent?

Detailed Answer Key

1. Answer : 

Subtract percent discount from 100%.

100% - 20%  =  80%

A student should pay 80% of the regular price, $7.

Find 80% of 7. This is the student price.

0.80(7)  =  5.60

Subtract 5.60 from 7. This is the amount of the discount.

7 - 5.60  =  1.40

The discount is $1.40 and student price is $5.60.

2. Answer : 

Subtract percent off from 100%.

100% - 60%  =  40%

The sale price is 40% of the regular price, $220.

Find 40% of 220. This is the sale price.

0.40(220)  =  88

The sale price of the bicycle is $88.

3. Answer : 

$15 - $12  =  $3

Think : 3 is what percent of 15? Let x represent the percent.

3  =  x(15)

Because x is multiplied by 15, divide each side by 15 to undo the multiplication.

3/15  =  15x/15

0.2  =  x

Multiply 0.2 by 100 to convert it to a percent. 

0.2 ⋅ 100%  =  x

20%  =  x

The discount is 20%.

4. Answer : 

Subtract percent off from 100%.

100% - 40%  =  60%

The sale price is 60% of the regular price, $185.

Find 60% of 185. This is the sale price.

0.60(185)  =  111

The sale price of the leather jacket is $111.

5. Answer : 

Find the discount amount.

$12 - $3.60  =  $8.4

Think : 8.4 is what percent of 12? Let x represent the percent.

8.4  =  x(12)

Because x is multiplied by 12, divide each side by 12 to undo the multiplication.

8.4/12  =  12x/12

0.7  =  x

Multiply 0.7 by 100 to convert it to a percent. 

0.7 ⋅ 100%  =  x

70%  =  x

Neal’s discount is 70%. 

6. Answer : 

Add percent markup to 100%.

100% + 40%  =  140%

The selling price is 140% of the wholesale cost, $50.

Find 140% of 50. This is the selling price.

1.40(50)  =  70

Subtract the wholesale cost from 70. This is the amount of the markup.

70 - 50  =  20

By either method, the amount of the markup is $20 and the selling price is $70.

7. Answer : 

Find the amount of the markup.

80 - 64  =  16

Think: 16 is what percent of 64? Let x represent the percent.

16  =  x(64)

Because x is multiplied by 64, divide each side by 64 to undo the multiplication.

16/64  =  64x/64

0.4  =  x

Multiply 0.4 by 100 to convert it to a decimal. 

0.4 ⋅ 100%  =  x

40%  =  x

The markup was 40%.

8. Answer : 

Add percent markup to 100%.

100% + 70%  =  170%

The selling price is 170% of the wholesale cost, $9.

Find 170% of 9. This is the selling price.

1.70(9)  =  15.3

Subtract the wholesale cost from 15.3. This oi the amount of mark up. 

15.3 - 9  =  6.3

The selling price is $15.30 and the amount of the mark up is $6.30.

9. Answer : 

Let x be the manufacturer's cost.

Add percent markup to 100%.

100% + 65%  =  165%

Yolanda's cost was 165% of the manufacturer's cost x.

Find 165% of x. This was Yolanda's cost.

165% of x  =  1.65x

Given : Yolanda bought the video for $19.80.

1.65x  =  19.80

Divide each side by 1.65.

1.65x/1.65  =  19.80/1.65

x  =  12

The manufacturer's cost was $12.

10. Answer : 

Selling price of the hat (Price before the sales tax is included) : 

16.50 - 1.50  =  15

Amount of markup : 

15 - 12  =  3

Think : 3 is what percent of 12. Let x represent the percent. 

3  =  x(12)

Divide each side by 12.

3/12  =  12x/12

1/4  =  x

0.25  =  x

Multiply 0.25 by 100 to convert it to a decimal. 

0.25 ⋅ 100%  =  x

25%  =  x

The markup is 25%.

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