Sale Prices - ACT Math
Card 0 of 20
The manager of a department store decided to raise the price of a certain pair of shoes by 30%. The next day, the store ran a sale of 20% off all items. What is the difference in price, in percentage terms, between the initial price of the shoes and the sale price?
The manager of a department store decided to raise the price of a certain pair of shoes by 30%. The next day, the store ran a sale of 20% off all items. What is the difference in price, in percentage terms, between the initial price of the shoes and the sale price?
To find the price after the initial 30% increase by the manager, you must multiply the original price by 1.3. Then, to find the price after the 20% off sale, you must multiply the new price by 0.8. The original price, therefore, is being multiplied by 1.3*0.8 = 1.04, indicating a 4% overall increase.
To find the price after the initial 30% increase by the manager, you must multiply the original price by 1.3. Then, to find the price after the 20% off sale, you must multiply the new price by 0.8. The original price, therefore, is being multiplied by 1.3*0.8 = 1.04, indicating a 4% overall increase.
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A shirt is originally priced at $54. It is on sale for 60% off, and Jeff has a coupon for an additional 15% off the reduced price. What is the final price Jeff pays for the shirt?
A shirt is originally priced at $54. It is on sale for 60% off, and Jeff has a coupon for an additional 15% off the reduced price. What is the final price Jeff pays for the shirt?
After 60% off, the shirt is marked down to $21.60 (found by: $54 - $54*0.6 = $21.60). Jeff uses a 15% off coupon, knocking the price down to $18.36 ( found by: $21.60 - $21.60*0.15 = $18.36).
After 60% off, the shirt is marked down to $21.60 (found by: $54 - $54*0.6 = $21.60). Jeff uses a 15% off coupon, knocking the price down to $18.36 ( found by: $21.60 - $21.60*0.15 = $18.36).
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A video game console with a list price of $500 is marked down 20%. If Katie gets an employee discount of 10% off the sale price, how much does she pay for the video game console?
A video game console with a list price of $500 is marked down 20%. If Katie gets an employee discount of 10% off the sale price, how much does she pay for the video game console?
First find the sale price. Multiply the list price by .2 and subtract that from the list price. 500 – 500 * .2 = 500 – 100 = 400. Now take the employee discount from the new price, 400 – 400 * .1 = 400 – 40 = 360, so Katie would pay $360 for the video game console.
First find the sale price. Multiply the list price by .2 and subtract that from the list price. 500 – 500 * .2 = 500 – 100 = 400. Now take the employee discount from the new price, 400 – 400 * .1 = 400 – 40 = 360, so Katie would pay $360 for the video game console.
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A shirt, originally $50, is on sale for 20% off. If Andrew has a coupon that takes 15% off the reduced price, what does he pay?
A shirt, originally $50, is on sale for 20% off. If Andrew has a coupon that takes 15% off the reduced price, what does he pay?
The shirt is on sale for 50 x .8 = $40. If Andrew takes another 15% off, he will pay $40 x .85= $34.00
The shirt is on sale for 50 x .8 = $40. If Andrew takes another 15% off, he will pay $40 x .85= $34.00
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A dress is priced at $375 and a pair of shoes are $150. If they are both on sale for 30% off, what is price of purchasing them both on sale?
A dress is priced at $375 and a pair of shoes are $150. If they are both on sale for 30% off, what is price of purchasing them both on sale?
$375 + $150 = $525
Sale price is 30% off or (0.3)($525) = $157.50
Subtract the discount from the initial price: $525 – $157.50 = $367.50
$375 + $150 = $525
Sale price is 30% off or (0.3)($525) = $157.50
Subtract the discount from the initial price: $525 – $157.50 = $367.50
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You are shopping for produce that is on sale. Oranges are 20% off and apples are 15% off. If The regular price of oranges are 3 for $1.00 and the regular price of apples is 3 for $2.00. If you buy 3 oranges and 6 apples, how much will it cost?
You are shopping for produce that is on sale. Oranges are 20% off and apples are 15% off. If The regular price of oranges are 3 for $1.00 and the regular price of apples is 3 for $2.00. If you buy 3 oranges and 6 apples, how much will it cost?
Cost of 3 oranges = $1.00
Sales price = $1.00 – (0.20)($1.00) = $0.80
Cost of 6 apples = $2.00 x 2 = $4.00
Sales price = $4.00 – (0.15)($4.00) = $3.40
Total cost = $0.80 + $3.40 = $4.20
Cost of 3 oranges = $1.00
Sales price = $1.00 – (0.20)($1.00) = $0.80
Cost of 6 apples = $2.00 x 2 = $4.00
Sales price = $4.00 – (0.15)($4.00) = $3.40
Total cost = $0.80 + $3.40 = $4.20
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An item of clothing is featured in a store's 25% off sale. Karl, an employee, receives an additional 25% of the sale price. If the item originally cost $120, how much would Karl pay for it?
An item of clothing is featured in a store's 25% off sale. Karl, an employee, receives an additional 25% of the sale price. If the item originally cost $120, how much would Karl pay for it?
This problem requires an understanding of percentages and how to appropriately use them. The sale takes 25% of off the original price, by multiplying $120 by 0.25 we get $30, so the sale price is $120 – $30 = $90. We are then told that Karl receives an additional 25% off of the sale price so we multiply $90 by 0.25, we get $22.50, so the price that Karl would pay would be $90 – $22.50 = $67.50.
This problem requires an understanding of percentages and how to appropriately use them. The sale takes 25% of off the original price, by multiplying $120 by 0.25 we get $30, so the sale price is $120 – $30 = $90. We are then told that Karl receives an additional 25% off of the sale price so we multiply $90 by 0.25, we get $22.50, so the price that Karl would pay would be $90 – $22.50 = $67.50.
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James goes to the store to buy a new pair of shoes. He sees a pair he likes for 
that are marked 
off. Ignoring sales tax, how much does James pay for the shoes? Round to the nearest cent.
James goes to the store to buy a new pair of shoes. He sees a pair he likes for
To find how much is remaining after 
is taken off, subtract 
from 
(the total price of the original pair of shoes) and multiply it by the shoe's price.
which rounds to 
To find how much is remaining after
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Max wants to buy a couch at The Furniture Store. The couch he is considering had been marked on sale for 20% off and was selling for $320. The day he comes in to buy the couch, it has been marked down an additional 40% off of the sale price. What is the difference in the original price of the couch and what Max paid for the couch?
Max wants to buy a couch at The Furniture Store. The couch he is considering had been marked on sale for 20% off and was selling for $320. The day he comes in to buy the couch, it has been marked down an additional 40% off of the sale price. What is the difference in the original price of the couch and what Max paid for the couch?
First find the original price of the couch. If $320 represents the price after taking 20% off, then $320 = 80% of the original price. To find the original price, divide (320) / (0.8) = 400.
Then find the "additional sale" price. The couch has been marked down an additional 40% from the sale price of $320. Since "40% off" means that you pay 60% of what you would have, multiply the sale price of $320 by the 60% that Max pays. $320 * 0.6 = $192.
Finally, do the subtraction of the original price minus the price Max paid: $400 – $192 = $208.
First find the original price of the couch. If $320 represents the price after taking 20% off, then $320 = 80% of the original price. To find the original price, divide (320) / (0.8) = 400.
Then find the "additional sale" price. The couch has been marked down an additional 40% from the sale price of $320. Since "40% off" means that you pay 60% of what you would have, multiply the sale price of $320 by the 60% that Max pays. $320 * 0.6 = $192.
Finally, do the subtraction of the original price minus the price Max paid: $400 – $192 = $208.
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Sharon wants to buy a dress priced at 
. There is a sale that gives her 
off of the original price. She also has a coupon that gives her an additional 
off of the purchase price. Ignoring sales tax, how much will Sharon have to pay for the dress?
Sharon wants to buy a dress priced at
The dress is reduced by 60% of the original price, so first we must figure out what 60% of $39.99 is:
0.6*39.99 = 23.99
Since the sale is 60% OFF of the original price, we have to subtract this number from the original price:
39.99- 23.99= $16.
Now, we have to reduce this price by an additional 10%, so we have to find 10% of $16:
0.1*16 = 1.60
Finally, we must subtract this from our sale price of $16:
$16-1.6 = $14.40
The dress is reduced by 60% of the original price, so first we must figure out what 60% of $39.99 is:
0.6*39.99 = 23.99
Since the sale is 60% OFF of the original price, we have to subtract this number from the original price:
39.99- 23.99= $16.
Now, we have to reduce this price by an additional 10%, so we have to find 10% of $16:
0.1*16 = 1.60
Finally, we must subtract this from our sale price of $16:
$16-1.6 = $14.40
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Mary wants to buy a new skirt. It was originally $30, but is marked 20% off. She also received a coupon for 15% off the sale price. How much will Mary pay for the skirt?
Mary wants to buy a new skirt. It was originally $30, but is marked 20% off. She also received a coupon for 15% off the sale price. How much will Mary pay for the skirt?
20% off means that the new price of the skirt will be 80% of the original price:
$30(100% – 20%) = $30(80%)
Converting the percent to a decimal gives:
$30(0.8) = $24.00
There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:
$24(100% – 15%) = $24(85%)
Again converting the percent to a decimal gives:
$24(0.85) = $20.40
20% off means that the new price of the skirt will be 80% of the original price:
$30(100% – 20%) = $30(80%)
Converting the percent to a decimal gives:
$30(0.8) = $24.00
There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:
$24(100% – 15%) = $24(85%)
Again converting the percent to a decimal gives:
$24(0.85) = $20.40
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A tablet computer listed at an original price of $250 is placed on sale for 20% off the original price. Bob, an employee of the store, gets an additional 30% off the sale price. What price would Bob pay to purchase the tablet computer?
A tablet computer listed at an original price of $250 is placed on sale for 20% off the original price. Bob, an employee of the store, gets an additional 30% off the sale price. What price would Bob pay to purchase the tablet computer?
Take the original price and take off 20% = $250(1 - .2) = $250(.8) = $200
Then take off another 30% $200(1 - .3) = $140
Take the original price and take off 20% = $250(1 - .2) = $250(.8) = $200
Then take off another 30% $200(1 - .3) = $140
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Howard, a store manager, receives a 50% discount off of items sold in the store. However, Howard's discount does not apply to sale items. Howard is welcome to buy sale items but the only discount he will recieve is the 50% off of the original price. Carlita, an employee, receives a 30% discount off of items. When items are on sale Carlita's 30% discount applies to the sale price of the item.
Who would pay more for an item, originally priced at $150, that is featured in the store's 20% sale, Howard or Carlita? And by how much?
Howard, a store manager, receives a 50% discount off of items sold in the store. However, Howard's discount does not apply to sale items. Howard is welcome to buy sale items but the only discount he will recieve is the 50% off of the original price. Carlita, an employee, receives a 30% discount off of items. When items are on sale Carlita's 30% discount applies to the sale price of the item.
Who would pay more for an item, originally priced at $150, that is featured in the store's 20% sale, Howard or Carlita? And by how much?
Since Howard's discount applies only to the original price, the price he would be pay can be determined by multiplying 150 by 0.5, which gives $75, this is the price reduction that Howard recieves, coincidentally it is also the price he will pay after taking $75 off of the original price of $150. Carlita first will recieve the 20% sale discount, her employee discount will then apply to the price of the item after 20% has been taken off of the original price. The calculations that will provide the price that Carlita will pay are as follows. 150 * 0.2 = 30, 150 – 30 = 120, 120 * 0.3 = 36, 120 – 36 = 84. So Howard will pay $75, and Carlita will pay $84. Carlita will pay more by $9.
Since Howard's discount applies only to the original price, the price he would be pay can be determined by multiplying 150 by 0.5, which gives $75, this is the price reduction that Howard recieves, coincidentally it is also the price he will pay after taking $75 off of the original price of $150. Carlita first will recieve the 20% sale discount, her employee discount will then apply to the price of the item after 20% has been taken off of the original price. The calculations that will provide the price that Carlita will pay are as follows. 150 * 0.2 = 30, 150 – 30 = 120, 120 * 0.3 = 36, 120 – 36 = 84. So Howard will pay $75, and Carlita will pay $84. Carlita will pay more by $9.
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A blue dress is marked down 15%. What is the sale price of the dress if the regular price is $150?
A blue dress is marked down 15%. What is the sale price of the dress if the regular price is $150?
There are two ways to work this problem.
The first way is to find the amount of the discount and subtract from the original price: 0.75 * 150 = 22.50, then 150 – 22.50 = 127.50
The second method finds the sales price directly: 100% = % Discount + % Sales Price or 1 – % Discount = % Sales Price
1 – 0.15 = 0.85, so the sales price is 0.85 * 150 = 127.50
There are two ways to work this problem.
The first way is to find the amount of the discount and subtract from the original price: 0.75 * 150 = 22.50, then 150 – 22.50 = 127.50
The second method finds the sales price directly: 100% = % Discount + % Sales Price or 1 – % Discount = % Sales Price
1 – 0.15 = 0.85, so the sales price is 0.85 * 150 = 127.50
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Gina wants to purchase a new television. It was originally $500, but is marked 25% off. She also received a coupon for 10% off the sale price. How much will Gina pay for the television?
Gina wants to purchase a new television. It was originally $500, but is marked 25% off. She also received a coupon for 10% off the sale price. How much will Gina pay for the television?
25% off means that the new price of the television will be 75% of the original price:
$500(100% – 25%) = $500(75%)
Converting the percent to a decimal gives:
$500(0.75) = $375.00
There is an additional 10% off the sale price of $375.00, so the final price is 90% of the sale price:
$24(100% – 10%) = $375(90%)
Again converting the percent to a decimal gives:
$375(0.9) = $337.50
So, we choose C.
25% off means that the new price of the television will be 75% of the original price:
$500(100% – 25%) = $500(75%)
Converting the percent to a decimal gives:
$500(0.75) = $375.00
There is an additional 10% off the sale price of $375.00, so the final price is 90% of the sale price:
$24(100% – 10%) = $375(90%)
Again converting the percent to a decimal gives:
$375(0.9) = $337.50
So, we choose C.
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The grocery store is having a sale on cereal. The sale is 20% off each box if you buy 3 boxes of the same type and 40% off each box if you buy 5 boxes of the same type. You purchase one box of puffed rice priced at $3.50, three boxes of bran flakes priced at $4.25 and five boxes of granola priced at $5.00. What is the total price after the discount is applied.
The grocery store is having a sale on cereal. The sale is 20% off each box if you buy 3 boxes of the same type and 40% off each box if you buy 5 boxes of the same type. You purchase one box of puffed rice priced at $3.50, three boxes of bran flakes priced at $4.25 and five boxes of granola priced at $5.00. What is the total price after the discount is applied.
Puffed rice: 1 box at full price = $3.50
Bran Flakes: 3 boxes at 20% off of $4.25 = (3 * 4.25) * 0.20 = (12.75) * 0.20 = $2.55
Cost = $12.75 – $2.55 = $10.20
Granola: 5 at 40% off of $5.00 = (5 * 5.00) * 0.40 = (25) * 0.40 = $10.00
Cost = $25.00 – $10.00 = $15.00
Total Cost = $3.50 + $10.20 + $15.00 = $28.70
Puffed rice: 1 box at full price = $3.50
Bran Flakes: 3 boxes at 20% off of $4.25 = (3 * 4.25) * 0.20 = (12.75) * 0.20 = $2.55
Cost = $12.75 – $2.55 = $10.20
Granola: 5 at 40% off of $5.00 = (5 * 5.00) * 0.40 = (25) * 0.40 = $10.00
Cost = $25.00 – $10.00 = $15.00
Total Cost = $3.50 + $10.20 + $15.00 = $28.70
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An ecomony car gets 34 miles per gallon. If gas is currently priced at $3.98 per gallon, how much would the gas cost for this car to travel 400 miles.
An ecomony car gets 34 miles per gallon. If gas is currently priced at $3.98 per gallon, how much would the gas cost for this car to travel 400 miles.
The car needs to travel 400 miles so divide 400 by 34 to find the number of gallons required. Then multiply by the price per gallon to find the amount required.
The car needs to travel 400 miles so divide 400 by 34 to find the number of gallons required. Then multiply by the price per gallon to find the amount required.
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A store buys a new line of dresses for $15.00 each. They increase this price by 40% when they sell the dresses in the store. This week, the dresses are on sale for 20% off. What is the price of one dress this week?
A store buys a new line of dresses for $15.00 each. They increase this price by 40% when they sell the dresses in the store. This week, the dresses are on sale for 20% off. What is the price of one dress this week?
The price of one dress is now $16.80. The original price was $15.00. When the dresses were sold in the store, the price was increased by 40%, to $21.00
(
)
Then, the price was decreased by 20%, to $16.80.
(
)
It might be tempting to just increase the original price by 20%, but the percent increase and the percent decrease must be performed together.
The price of one dress is now $16.80. The original price was $15.00. When the dresses were sold in the store, the price was increased by 40%, to $21.00
(
Then, the price was decreased by 20%, to $16.80.
(
It might be tempting to just increase the original price by 20%, but the percent increase and the percent decrease must be performed together.
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A ring costs 
. It is then marked up 
. What is the current price?
A ring costs
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Carl's new bike cost a total of 
after a state sales tax of 
was applied. What was the original price of Carls bike before the sales tax was applied?
Carl's new bike cost a total of
Create an equation which will help you find the missing price 
.
The missing price, plus 
of the missing price equals 
Create an equation which will help you find the missing price
The missing price, plus
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