Part / Percent / Whole
Percentage Problems
Simple Interest
Percent Change
Percent Error
100

What is the percent proportion?

Part / Whole = Percent / 100

100

What is the percent equation?

Part = Percent * Whole

100

What is the Simple Interest Formula

Interest = Principle * Rate * Time


100

How do you calculate percent of change?

Amount of change / original amount


100

How do you calculate percent of error?

Amount of Error / Actual (correct) Amount

200

What is 45% of 122?

54.9

200

Jimmy has $40 saved up for a new bike.  If the bike Jimmy wants is $320 dollars, what percent of the money has Jimmy currently saved?

12.5%

200

Olivia took out a small loan to pay off some bills that had a higher interest rate.  If she borrowed $3,000 at 2.5% and has 2 years to pay off the loan, how much will she pay in interest when finished?

$150

200

What does percent of change need to include when you give an answer?

Increase or Decrease

200

Maria guessed that a watermelon weighed 14 pounds. When it was placed on the scale, it actually weighed 16 pounds. What is the amount of error in Maria’s estimate?

2 pounds

300

23 is what percent of 176?  Round to the nearest whole percent.


13%

300

Francis went to the store and spent $147.55 worth of groceries.  If the sales tax in her county is 5.2% how much did Francis pay in tax for her groceries?


$7.67

300

When Barry was born his grandma and grandpa put $1500 into a savings account that earns him 1.25% interest but he cannot access the money until his 18th birthday.  If no new money is ever invested, then how much will he have when he turns 18?

$1837.50

300

A laptop originally cost $800. It is now on sale for $680.  

15% decrease

300

A student estimated that the classroom was 30 feet long. After measuring, the actual length was 27 feet. What is the amount of error in the student’s estimate?

3 feet

400

54 is 35% of what number?

Round your answer to the nearest tenth

154.3

400

Wilbur recently went out to eat with his family for his birthday.  The meal cost him $124.72 before tax.  The tax rate where he lives is 6.8% and he then left a 20% tip.  How much was the total bill?

$159.84

400

Ashley loaned her daughter some money, with the understanding she would pay her back the loan in 4 years and give her 8% interest.  At the end of the 4 years she received $160 in interest.  How much did Ashley loan her daughter?  

$500

400

Last year, a town had 2,500 residents. This year, it has 2,750 residents.  What is the percent change?

10% increase

400

A package was predicted to weigh 8.5 kg.  The first set of items in the box weighed 5.2 kg.  Additional items were added later that weighed 4.6 kg.  What is the amount of error to the nearest percent?  

13%

500

Billy missed about 12% of the 24 problems on his most recent quiz.  To the nearest whole, how many problems did Billy get correct?

21

500

Cynthia has been saving for months to go buy a PS5.  She was excited to learn that the system, which originally cost $399.99 was on sale for 15% off at her local department store.  Tax for her region is 8.2%.  Can she buy the system with the $360 dollars she currently has saved?

No.  She is $7.87 short, so hopefully in a week she will do some chores and get the system before it goes off sale.  :)

500

Becky was in a jam, and really needed to pay off some tickets to avoid further fines and possibly jail time.  She didn't like the idea, but she had to go to a PayDay loan store to get a loan.  She borrowed $1000 that had an interest rate of 300% and she had 1 month to pay the loan off.  How much did Becky have to pay off for this loan?

$1250.  A $250 interest for only one month!  Try to avoid these places at all costs!  (see what I did there!?!?!)  :)

500

After one year a streaming service subscription increased from $12 per month to $15 per month.  The following year the price increased again to $20 per month.  What percent has the price changed in the time subscribed?  Give your answer to the nearest percent.

67%

500

A weather app predicted the temperature.. The app had an error of 5%.  The actual temperature was 80 degrees.  What are the two possible predictions the app gave?  Round to the nearest whole degree.  

84 degrees or 76 degrees.  Remember to find this, find 5% of 80, then add the amount to 80, and subtract the amount to 80.