Practice Lesson Quiz 3-4 & 3-5

Which expression can be used to find the price of a $600 telescope after a 42% markup? Select all that apply.

A laptop was originally sold for $1075. The laptop is now on sale for $913.75.
What is the percent markdown?

Mathematical Equivalence

ON

Answer explanation

Find the difference between the original and the new price:

1075 - 913.72 = 161.25

Divide the difference by the original price:

161.25 ÷ 1075 = 0.15 or a 15% markdown

Jermaine buys T-shirts for $7 each and marks up the price by 55%.
How much profit does Jermaine make for each T-shirt sold?

Mathematical Equivalence

ON

Answer explanation

If the markup is 55%, take the original and multiply by 0.55.

7 * 0.55 = 3.85. The markup IS the amount of money made on each T

A toy shop purchases 225 identical stuffed animals for a total cost of $625 and sells them for $8 each.
What is the percent markup?

Mathematical Equivalence

OFF

Answer explanation

Find the total sales price of 1800 (225 * 8)

Find the difference between the sales price and the cost: 1800 - 625 = 1175

Divide the difference by the original cost:

1175 ÷ 625 = 1.88 or 188% markup

A coffee table is on sale for 20% off the original price of $215.
If there is 8.5% sales tax, what is the final price of the coffee table?

Mathematical Equivalence

ON

A town’s population of children increased from 476 to 521 during the past year.
Which equation shows how to find the percent increase?

The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.

• about 26.33%

• about 33.33%

• about 56.67%

• about 66.67%

Answer explanation

percent change = difference ÷ original

(65 - 39) ÷ 39 = 0.666666666666666

or about 66.67%

A zookeeper predicted that the weight of a newborn lion would be 3.6 pounds.
When the zoo’s lion gave birth, the newborn weighed 4.5 pounds.
What is the zookeeper’s percent error?

Mathematical Equivalence

ON

Answer explanation

Percent error = difference ÷ actual

The actual in this case is the 4.5 pounds

So... (4.5 - 3.6) ÷ 4.5 = 0.9 ÷ 4.5 = 0.2 or 20%

A body builder consumed 5,400 calories yesterday. Today, he consumed 4,600 calories.
What is the percent decrease in number of calories consumed? Round to the nearest percent.

Mathematical Equivalence

ON

Answer explanation

This is a percent change problem which means percent change = difference ÷ original

(5400 - 4600) ÷ 5400 = 0.1481481

rounded to the nearest percent = 15%

The table shows the participation in a school’s debate club during the last four years.
Between which two years did the club see the greatest percent growth? By what percent did it grow?
Round to the nearest percent. Use the drop-down menus to show and explain your answer.

The greatest growth was between years ​ (a)   and ​ (b)   . The growth between those years was about ​ (c)   .

• 1
• 2
• 3
• 4
• 8%
• 32%
• 57%
• 36%

Answer explanation

Find the base and % growth:

1 to 2 = 5: 5 ÷ 14 = 36%

2 to 3 = 6: 6 ÷ 19 = 32%

3 to 4 = 8: 8 ÷ 25 = 32%

The greatest % growth was years 1 to 2