SOLVING MULTI STEP WORD PROBLEMS INVOLVING PERCENTAGE WORKSHEET

Problem 1 :

Sam opened a money-market account that pays 3% simple interest. He started the account with $7,000 and made no further deposits. When he closed the account, he had earned $1,050 in interest. How long did he keep his account open?

Solution

Problem 2 :

Amy bought a box of chocolates originally priced at $14. She received a 15% discount on the original price, and then she paid a 4% sales tax on the purchase price. What is the total amount that Amy paid for the box of chocolates?

Solution

Problem 3 :

Maria works for an automobile dealership. She earns a 10% commission on each motorcycle she sells and a 15% commission on each car she sells. Maria sells a motorcycle for $5,000 and a car for $25,000. What is the total commission that she will earn on the sale of these two vehicles?

Solution

Problem 4 :

A pair of shoes usually sells for $69. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes including tax?

Solution

Problem 5 :

Martha estimated there were 87 marbles in a jar for a contest. The actual number of marbles in the jar was 109. What was the percent error of Martha's estimation?

Solution

Problem 6 :

Tessa bought stock in a restaurant for $170.00. Her stock is now worth $251.60. What is the percentage increase of the value of Tessa's stock?

Solution

Problem 7 :

Jane moved from a house with 61 square feet of closet space to an apartment with 36.6 square feet of closet space. What is the percentage decrease of Jane's closet space?

Solution

Problem 8 :

A zookeeper predicted the weight of a new baby elephant to be 265 pounds when it was born. The elephant actually weighed 297 pounds at birth. What was the percent error of the zookeeper's prediction?

Solution

Problem 9 :

Jason and his friend went to a restaurant for dinner. The food that they ordered cost $25. A 7% sales tax was applied to the total. After the sales tax was applied, Jason paid a 15% tip on the total bill. How much did Jason pay at the restaurant?

Solution

Answer Key

1)  N = 5 years

2)   she has to pay $13.56 for a box of chocolate.

3) $4250

4)  $51.198

5)  the percentage error is 25%.

6)  48%

7)  66.6% 

8)  the required percentage error is 12%.

9)  $28.08

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