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Grade 5 - Mathematics
9.11 Percentage Word Problems

Discount is a decrease in the price of an item.
To find the sale price of an item:
1. Find the amount of the discount.
2. Subtract the discount from the original price.

Example: If a discount on an article is 25% and is priced at 200. What was the original price?
Present Rate = 200
Original Price = 25/100 x 200 + 200
50 + 200
Answer: 250

Example: The regular price of a pair of sneakers is $40. The sale price is 25% off the regular price. What is the sale price?
Discount = 25% of 40 = (25/100) x 40 = (1/4) x 40 = 10
Subtracting the discount from the regular price: $40 - $10 = $30
Answer: The sale price of the sneakers is $30

Sales tax and tips are amounts that are added to the price of a purchase. Sales tax and tips are usually calculated using a percent of the purchase price.

Example: Ann goes to store to buy some dog food that costs $8.50. There is a 6% sales tax. What is the total amount she paid to the store?
Sales tax = 6% of $8.50 = 0.06 x 8.50 = .51
Adding the sales tax to the cost of the item = $8.50 + $0.51 = $9.01
Answer: The total amount she paid the store is $9.01

Example: Kim goes to a restaurant and orders a meal that costs $12. She leaves a 20% tip. The sales tax is 5%. What is the total cost of the meal?
Tip: 20% of $12 = (20/100) x 12 = 0.20 x 12 = 2.40
Sales tax: 5% of $12 = 0.50 x 12 = 0.60
Adding food bill, tip and sales tax: $12 + $2.40 + $0.60 = 15.00
Answer:Total cost of the meal: $15

Example: : Sam and Kim's meal costs $16.18. They want to leave a tip of about 20%. How much tip should they leave?
To estimate the tip round the cost of the meal to $16.
20% of $16 = 0.20 x 16 = 3.2
Answer: The tip is about $3.20.

Directions: Solve the following. Also write at least 10 examples of your own.
Q 1: A shop had a 10% sale on. If an item was selling for $1080 what was the original price?
$1200
$2200
$1000

 Q 2: If you got 40% off discount on a $100 Jacket. How much money did you pay for the Jacket?
80 dollars
40 dollars
60 dollars

Q 3: 1 out of 7 people fail an exam. What percentages is this
14.29%
74.29%
34.29%

 Q 4: Jill buys a pair of jeans that is 30% off the original price of $29. What is the sale price?
$29
$8.7
$20.30

Q 5: If a shop has a 15% discount offer and the original price is $100 what is the price?
85
95
75

 Q 6: If a shop has a 15% discount offer and the original price is $150 what is the new price?
$175.50
$150
$127.50

Q 7: A store that sells skateboards buys them from a manufacturer at a wholesale price of $57. The store markup is 150%. What is the retail price?
$123.25
$85.50
$142.50

 Q 8: Of 210 students 28% failed an exam. What percentage passed?
28%
80%
72%

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 Question 10: This question is available to subscribers only!


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