Sale Prices - SAT Math
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An mp3 player costs $100 on day one. On day two, the shop owner decides to decrease the price by 10% of the day one price. However, on day three the owner changes her mind and raises the price by 10% of the day two price. What is the new price of the mp3 player?
An mp3 player costs $100 on day one. On day two, the shop owner decides to decrease the price by 10% of the day one price. However, on day three the owner changes her mind and raises the price by 10% of the day two price. What is the new price of the mp3 player?
10% of the day one price = 0.1(100) = $10.
Therefore the day two price = 100 - 10 = $90.
10% of the day two price = 0.1(90) = $9.
Therefore the day three price = 90 + 9 = $99.
10% of the day one price = 0.1(100) = $10.
Therefore the day two price = 100 - 10 = $90.
10% of the day two price = 0.1(90) = $9.
Therefore the day three price = 90 + 9 = $99.
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Maria was shopping for a camera and found one that was on sale for 30% off. As she went to pay for it, the store announced an instant sale that took an additional 10% off all items. If the final price Maria paid was $207.27, what was the original price (before all discounts) of the camera?
Maria was shopping for a camera and found one that was on sale for 30% off. As she went to pay for it, the store announced an instant sale that took an additional 10% off all items. If the final price Maria paid was $207.27, what was the original price (before all discounts) of the camera?
To reconstruct an original price from a sale price, use:
Original Price – Original Price * Mark-down-percent = Sale Price, or
Original Price * (1 - Mark-down-percent) = Sale Price
To do a double mark-down problem, we must do this twice. For the 10%:
Original Sale Price * (1 – 10%) = $207.27
Original Sale Price = $207.27/0.9 = $230.30.
For the pre-all-discount price,
Original Price * (1 – 30%) = $230.30
Original Price = $230.30/0.7 = $329.00.
To reconstruct an original price from a sale price, use:
Original Price – Original Price * Mark-down-percent = Sale Price, or
Original Price * (1 - Mark-down-percent) = Sale Price
To do a double mark-down problem, we must do this twice. For the 10%:
Original Sale Price * (1 – 10%) = $207.27
Original Sale Price = $207.27/0.9 = $230.30.
For the pre-all-discount price,
Original Price * (1 – 30%) = $230.30
Original Price = $230.30/0.7 = $329.00.
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Your friend works at a computer store. She can get a 15% discount on any item’s current price for as many items as she wants. She wants to buy a laptop for $2200 and a smartphone for $200. Local sales tax where your friend lives is 8%. What will be her total cost to buy these two items?
Your friend works at a computer store. She can get a 15% discount on any item’s current price for as many items as she wants. She wants to buy a laptop for $2200 and a smartphone for $200. Local sales tax where your friend lives is 8%. What will be her total cost to buy these two items?
First, find the total price of the products $2200 + $200 = $2400.
Then apply the 15% discount: $2400 * 0.15 = $360
Subtract the discount: $2400 – $360 = $2040.
Then find cost of sales tax $2040 * 0.08 = 163.20
Add: $2040 + 163.20 = $2203.20.
(An alternative would be to multiply the cost by 1.08.)
First, find the total price of the products $2200 + $200 = $2400.
Then apply the 15% discount: $2400 * 0.15 = $360
Subtract the discount: $2400 – $360 = $2040.
Then find cost of sales tax $2040 * 0.08 = 163.20
Add: $2040 + 163.20 = $2203.20.
(An alternative would be to multiply the cost by 1.08.)
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If Stacy paid $26 for a shirt at a 30%-off sale, what was the original price of the shirt?
If Stacy paid $26 for a shirt at a 30%-off sale, what was the original price of the shirt?
If the shirt is $26 after 30% was taken off, then cost of the the shirt ($26) is 70% of the original price.
We set up an equation that states:
0.7_x_ = 26 (0.7 is the decimal value of 70%)
x = 26/0.7 = $37.14
If the shirt is $26 after 30% was taken off, then cost of the the shirt ($26) is 70% of the original price.
We set up an equation that states:
0.7_x_ = 26 (0.7 is the decimal value of 70%)
x = 26/0.7 = $37.14
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A pair of shoes originally sells for $250. There is a sale, and the shoes are then sold for 20% off. The shoes are then marked down an additional 35%. If sales tax is 7%, what can you buy the pair of shoes for today, including tax?
A pair of shoes originally sells for $250. There is a sale, and the shoes are then sold for 20% off. The shoes are then marked down an additional 35%. If sales tax is 7%, what can you buy the pair of shoes for today, including tax?
The shoes are first marked down 20%.
20% of $250 = .2 x $250 = $50
Sales price = $250 - $50 = $200
The second markdown is 35%.
35% of $200 = .35 x $200 = $70
New price = $200 - $70 = $130
Calculate the sales tax:
7% of $130 = .07 x $130 = $9.10
Total price = $130 + $9.10 = $139.10
The shoes are first marked down 20%.
20% of $250 = .2 x $250 = $50
Sales price = $250 - $50 = $200
The second markdown is 35%.
35% of $200 = .35 x $200 = $70
New price = $200 - $70 = $130
Calculate the sales tax:
7% of $130 = .07 x $130 = $9.10
Total price = $130 + $9.10 = $139.10
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The price of a purse is reduced by 20%. It is then put on final sale with an additional 30% off. What is the total discount on the purse?
The price of a purse is reduced by 20%. It is then put on final sale with an additional 30% off. What is the total discount on the purse?
Let us assume that the original purse is $100. The price after the first reduction is $80. After the second reduction the price is now $56. The difference between 100 and 56 is 44, giving 44% off.
Let us assume that the original purse is $100. The price after the first reduction is $80. After the second reduction the price is now $56. The difference between 100 and 56 is 44, giving 44% off.
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Julie goes shopping at Gap. There is a storewide sale of 30% off. She buys a sweater on clearance that gets an additional 50% off. If the sweater was originally $50, how much did she pay?
Julie goes shopping at Gap. There is a storewide sale of 30% off. She buys a sweater on clearance that gets an additional 50% off. If the sweater was originally $50, how much did she pay?
The original price was $50. First you take 30% off (50 * (100 - 30)/100 = $35). Then you take an additional 50% off the new price (35 * 50/100 = 17.50)
The original price was $50. First you take 30% off (50 * (100 - 30)/100 = $35). Then you take an additional 50% off the new price (35 * 50/100 = 17.50)
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A store is having a sale. If you buy one widget for the regular price of $20, you can buy a second widget for 40% off the regular price. How much per widget does a customer save by buying two widgets during the sale instead of buying two widgets at the regular price?
A store is having a sale. If you buy one widget for the regular price of $20, you can buy a second widget for 40% off the regular price. How much per widget does a customer save by buying two widgets during the sale instead of buying two widgets at the regular price?
Widget 1 costs $20.
Widget 2 is on sale for 40%($20) off, or $8 off, or $20 – $8 = $12.
Two widgets during the sale cost $20 + $12 = $32.
Two widgets at regular price cost $20 + $20 = $40.
The total amount saved during the sale is $40 – $32 = $8.
This is the savings for two widgets, so the savings for one widget is $8/2 = $4.
Widget 1 costs $20.
Widget 2 is on sale for 40%($20) off, or $8 off, or $20 – $8 = $12.
Two widgets during the sale cost $20 + $12 = $32.
Two widgets at regular price cost $20 + $20 = $40.
The total amount saved during the sale is $40 – $32 = $8.
This is the savings for two widgets, so the savings for one widget is $8/2 = $4.
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A $225 dress goes on sale for 75% off. It is then discounted again for 10% off. How much money was saved on by the final purchase?
A $225 dress goes on sale for 75% off. It is then discounted again for 10% off. How much money was saved on by the final purchase?
The answer is $174.37.
The dress originally cost $225 but when it went on sale for 75% off we multiply the sale cost by 0.75. We see that through the sale we save $168.75 makeing the new cost of the dress $56.25.
Now we take the new cost of the dress ($56.25) and multiply that by 0.10 to represent the 10% discount. From this we see we save an additional $5.63 making the final cost of the dress $50.63.
The total savings on the dress sum up to $174.37.
The answer is $174.37.
The dress originally cost $225 but when it went on sale for 75% off we multiply the sale cost by 0.75. We see that through the sale we save $168.75 makeing the new cost of the dress $56.25.
Now we take the new cost of the dress ($56.25) and multiply that by 0.10 to represent the 10% discount. From this we see we save an additional $5.63 making the final cost of the dress $50.63.
The total savings on the dress sum up to $174.37.
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A stove is regularly priced for $300. What is the difference one would pay when buying it at a 20% discount rather than a 10% discount, with an additional 10% discount off the sale price?
A stove is regularly priced for $300. What is the difference one would pay when buying it at a 20% discount rather than a 10% discount, with an additional 10% discount off the sale price?
Buying the stove at a 20% discount would be $240. If one buys it at a sale of 10%, with another 10% off then the price would be $243, so the difference is $3
20% of 300 is 0.2 * 300 = 60 → 300 – 60 = 240
10% of 300 is 0.1 * 300 = 30 → 300 – 30 = 270
10% of 270 is 0.1 * 270 = 27 → 270 – 27 = 243
243 – 240 = 3
Buying the stove at a 20% discount would be $240. If one buys it at a sale of 10%, with another 10% off then the price would be $243, so the difference is $3
20% of 300 is 0.2 * 300 = 60 → 300 – 60 = 240
10% of 300 is 0.1 * 300 = 30 → 300 – 30 = 270
10% of 270 is 0.1 * 270 = 27 → 270 – 27 = 243
243 – 240 = 3
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Mark sells his car to Mike for 95% of the amount he originally paid. Mike then discounts the car 20% and sells it to Max. Max paid $300. How much did Mark buy his car for (rounded to the nearest dollar)?
Mark sells his car to Mike for 95% of the amount he originally paid. Mike then discounts the car 20% and sells it to Max. Max paid $300. How much did Mark buy his car for (rounded to the nearest dollar)?
Apply your percentage knowledge. Starting value times percentage equals end value. $300/(1 – 0.2) = $375. $375/0.95 = $395.
Apply your percentage knowledge. Starting value times percentage equals end value. $300/(1 – 0.2) = $375. $375/0.95 = $395.
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The costs for Lizzie’s party are as follows: $6000 to cater, $1200 for the DJ, $2000 for decorating, and $2200 for the venue rental. Lizze can choose to apply a discount of 10% for the caterer and decorating but is then charged an additional 30% for the DJ and venue. What is the minimum price she will pay?
The costs for Lizzie’s party are as follows: $6000 to cater, $1200 for the DJ, $2000 for decorating, and $2200 for the venue rental. Lizze can choose to apply a discount of 10% for the caterer and decorating but is then charged an additional 30% for the DJ and venue. What is the minimum price she will pay?
The discounts are not worth the extra cost. The answer is $11,400.
The discounts are not worth the extra cost. The answer is $11,400.
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Mr. Glatfelter trains hunting dogs for a price of $4000 per dog. If it costs him $15,000 per month to keep his business open and each dog costs $1000 to train, how many dogs per month must he train to make a profit?
Mr. Glatfelter trains hunting dogs for a price of $4000 per dog. If it costs him $15,000 per month to keep his business open and each dog costs $1000 to train, how many dogs per month must he train to make a profit?
The answer is 6. 6 hunting dogs gives him a net profit of $3000. If you picked 5, that’s where Glatfelter breaks even (he doesn’t make a profit or a loss).
The answer is 6. 6 hunting dogs gives him a net profit of $3000. If you picked 5, that’s where Glatfelter breaks even (he doesn’t make a profit or a loss).
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A dress was originally priced at $70. In January, it was put on sale for 20% off. Then in February, the sale price was lowered an additional $10 off of January's price. How much is the dress currently being sold for?
A dress was originally priced at $70. In January, it was put on sale for 20% off. Then in February, the sale price was lowered an additional $10 off of January's price. How much is the dress currently being sold for?
The dress started at $70. In January, it was marked down 20%. $70 * 0.2 = $14, so it was being sold for $70 – $14 = $56. Then we're told its price is again lowered, this time by $10. Now the price is $56 – $10 = $46.
The dress started at $70. In January, it was marked down 20%. $70 * 0.2 = $14, so it was being sold for $70 – $14 = $56. Then we're told its price is again lowered, this time by $10. Now the price is $56 – $10 = $46.
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Molly needs to buy a new microwave. Two stores, A and B, sell the exact model microwave that Molly needs to buy; however, stores A and B are selling this microwave at two different prices. Store A is selling the microwave for its regular price of $250. Store B is having a 20% off sale on all kitchen appliances. If the regular price of the microwave at store B is $275, how much money will Molly save if she purchases the microwave at store B with the additional 20% discount compared to if she were to purchase the microwave at store A?
Molly needs to buy a new microwave. Two stores, A and B, sell the exact model microwave that Molly needs to buy; however, stores A and B are selling this microwave at two different prices. Store A is selling the microwave for its regular price of $250. Store B is having a 20% off sale on all kitchen appliances. If the regular price of the microwave at store B is $275, how much money will Molly save if she purchases the microwave at store B with the additional 20% discount compared to if she were to purchase the microwave at store A?
If Molly buys the microwave at store B at the discounted price, we need to calculate what the price of the microwave is after the 20% discount. In order to do so, we must multiply 20% with the $275 regular price of the microwave at store B.
20% is 0.20.
So,
0.20 * $275 = $55
This is the discount we will receive. That means that we must subtract $55 from the regular price of $275.
$275 – $55 = $220
This is the price of the microwave at store B after the 20% discount.
Now we must compare the prices from store A and B.
Store A sells the microwave for $250.
Therefore, $250 – $220 = $30 saved.
If Molly buys the microwave at store B at the discounted price, we need to calculate what the price of the microwave is after the 20% discount. In order to do so, we must multiply 20% with the $275 regular price of the microwave at store B.
20% is 0.20.
So,
0.20 * $275 = $55
This is the discount we will receive. That means that we must subtract $55 from the regular price of $275.
$275 – $55 = $220
This is the price of the microwave at store B after the 20% discount.
Now we must compare the prices from store A and B.
Store A sells the microwave for $250.
Therefore, $250 – $220 = $30 saved.
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Sale price: 
off: 
coupon: 
Sale price:
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Company 
is introducing its newest smartphone model, so it is reducing the price of the previous model by 85%. If the previous model used to sell for $180, what is its new price?
Company
The sale price is 85% less than the original which is the same as 15% of the original 
. 
The sale price is 85% less than the original which is the same as 15% of the original
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An item is full-priced at $75. It is reduced by 10%, and then you apply a 25% off coupon to that price. There is a 7% sales tax on your purchase. How much do you pay?
An item is full-priced at $75. It is reduced by 10%, and then you apply a 25% off coupon to that price. There is a 7% sales tax on your purchase. How much do you pay?
The item begins at $75. it is 10% off.
You then take an additional 25% off:
There is then a 7% sales tax:
The item begins at $75. it is 10% off.
You then take an additional 25% off:
There is then a 7% sales tax:
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A person is shopping for clothes and notices that a pair of pants that reguarly costs $50 are 30% off. This person also has a coupon for 15% off of pants that can be applied after the sale price. What is the final price of the pants that person will pay in dollars? (Assume there is no sales tax)
A person is shopping for clothes and notices that a pair of pants that reguarly costs $50 are 30% off. This person also has a coupon for 15% off of pants that can be applied after the sale price. What is the final price of the pants that person will pay in dollars? (Assume there is no sales tax)
First multiply the cost of the pants by the sale price and subtract this value to give the sale price of the pants.
Then apply the coupon by multiplying this price by the value of the coupon and subtracting it from the sale price of the pants.
Alternatively, start by subtracting the discount from one and multiply by the cost of the pants.
Then take the discount of the coupon and subtract it from 1 and multiply by the sale value of the pants.
First multiply the cost of the pants by the sale price and subtract this value to give the sale price of the pants.
Then apply the coupon by multiplying this price by the value of the coupon and subtracting it from the sale price of the pants.
Alternatively, start by subtracting the discount from one and multiply by the cost of the pants.
Then take the discount of the coupon and subtract it from 1 and multiply by the sale value of the pants.
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A customer wants to buy a candy bar that costs fifty cents. It is taxed at eleven percent by the store. What's the price that the customer has to pay, rounded to the nearest cent?
A customer wants to buy a candy bar that costs fifty cents. It is taxed at eleven percent by the store. What's the price that the customer has to pay, rounded to the nearest cent?
To determine the final price, take the original price of the candy bar plus the tax of the original price. Write the expression and simplify.
The customer will have to pay 
for the candy bar.
To determine the final price, take the original price of the candy bar plus the tax of the original price. Write the expression and simplify.
The customer will have to pay
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