一个CT Math : How to find the sale price

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #131 :Percentage

To find the sale price for a single item or group of like items, one can use the equation, whereis the discounted price,is the original price, andis the percent to be discounted in decimal form.

一个video game is normally priced at. If the game is subsequently purchased for, what was the discount, as a percent, on the purchase?

Possible Answers:

There is not enough information to answer the question.

Correct answer:

Explanation:

To find the discount as a percent, simply divide the sale price by the original price, and multiply by(to convert from a decimal to a percent).

-->

Thus, the game was purchased on adiscount.

Example Question #132 :Percentage

To find the sale price for a single item or group of like items, one can use the equation, whereis the discounted price,is the original price, andis the percent to be discounted in decimal form.

一个steak dinner at Steaks 'R Us is normally priced at. The restaurant gives a discount to a preferred customer, and they eat for. What was the discount, as a percent, on the dinner?

Possible Answers:

Correct answer:

Explanation:

To find the discount as a percent, simply divide the sale price by the original price, and multiply by(to convert from a decimal to a percent).

-->

Thus, the game was purchased on approximatelydiscount.

Example Question #133 :Percentage

To find the sale price for a single item or group of like items, one can use the equation, whereis the discounted price,is the original price, andis the percent to be discounted in decimal form.

Company A sells bicycles normally costingfor. Company B sells bicycles normally costingfor. Which company offers a greater discount, as a percentage?

Possible Answers:

There is not enough information to answer the question.

Company A

Both companies offer the same percentage discount.

Company B

Correct answer:

Company B

Explanation:

Here we are looking to solve our equation for. We need only to solve each equation for, with the biggerrepresenting the bigger percent discount.

--->

For Company A:

For Company B:

Thus, Company B offers the greater discount by percentage.

Example Question #1301 :一个ct Math

To find the sale price for a single item or group of like items, one can use the equation, whereis the discounted price,is the original price, andis the percent to be discounted in decimal form.

Maria makes cakes for big events, like weddings and graduations. She sells a cake that costs herto make for a total of. The customer later purchases another cake identical to the first one, and Maria gives a discount, selling the second cake for only. What percent of Maria's profits did she sacrifice for the customer?

Possible Answers:

Correct answer:

Explanation:

我t is a mistake to assume that we must calculate the profit percentage of each sale to find the answer to this problem. All we need to do to solve is to compare the ratio of the new sale's absolute amount to the old sale's absolute amount, and we will have our percentage.

So, Maria gave up approximatelyof her profits on the second cake.

Example Question #1302 :一个ct Math

To find the sale price for a single item or group of like items, one can use the equation, whereis the discounted price,is the original price, andis the percent to be discounted in decimal form.

Chen can choose from one of three deals for a new weight set: He can getoff of aset, oroff of aset, oroff of aset. Assuming the quality of sets is identical, which discount results in the least expensive set for Chen?

Possible Answers:

Theset atoff.

There is not enough information to answer the question.

Theset atoff.

一个ll of these offer the same final price.

Theset atoff.

Correct answer:

Theset atoff.

Explanation:

To find the best final sale amount, we simply apply our equation three times:

For the first weight set:

For the second weight set:

For the third weight set:

So, the least expensive weight set is theset atoff.

Example Question #1303 :一个ct Math

To find the sale price for a single item or group of like items, one can use the equation, whereis the discounted price,is the original price, andis the percent to be discounted in decimal form.

John buys a car at adiscount, and pays. Susan buys a car at adiscount, and pays. Romeo buys a car at adiscount, and pays. Before any discount was applied, who bought the most expensive car?

Possible Answers:

一个ll three cars were the same price before the discount.

There is not enough information to answer the question.

John.

Susan.

Romeo.

Correct answer:

一个ll three cars were the same price before the discount.

Explanation:

To find the original price of the car, substitute our known values into the equation for each car, then solve for.

For the first car:

--->

For the second car:

--->

For the third car:

--->

So, all three cars initially cost the same (although Susan appears to be the superior negotiator!)

Example Question #1304 :一个ct Math

To find the sale price for a single item or group of like items, one can use the equation, whereis the discounted price,is the original price, andis the percent to be discounted in decimal form.

一个certain product sells fordollars at full price, but can be purchased atoff for each additional unit past the first that is purchased, to a maximum ofoff each unit ifor more are purchased at one time.

Which equation represents the price, with discount, of a purchase ofunits of this product?

Possible Answers:

Correct answer:

Explanation:

Purchasingunits entitles us to the maximumdiscount on each unit, so we simply calculate the cost ofunits atoff:

Example Question #1305 :一个ct Math

To find the sale price for a single item or group of like items, one can use the equation, whereis the discounted price,is the original price, andis the percent to be discounted in decimal form.

Save-All Foods has a coupon matching program where customers can bring in any competitor's coupon and have the cash or percent off amount on the coupon face matched at their location. A customer brings in a coupon foroff a gallon of milk from another grocery store. If the milk at Save-All Foods normally costs/加仑, and the milk at the competitor costs/加仑, how much money does the customer save on the final price of milk by using the coupon matching program?

Round to the nearest cent.

Possible Answers:

/加仑

/加仑

/加仑

/加仑

/加仑

Correct answer:

/加仑

Explanation:

To find the answer here, simply calculate our equation for discounts using each store's price, then find the difference in final cost.

For the competitor:

--->

For Save-All Foods:

--->

So, the customer saves/加仑by using the coupon at Save-All Foods.

Example Question #1306 :一个ct Math

Mark wants to buy a new television for football season. The TV is currently on asale. Mark also has a store loyalty card which gives him an extraoff. The final price of the TV is what percentage off of the original cost?

Possible Answers:

Correct answer:

Explanation:

When dealing with an unknown price in a percentage price, it is always beneficial to simply choose a starting price. The easiest number to choose is alwaysTo find how much the TV costs after the initial sale, we need to do. Since this is a percentage reduction problem, we need to subtract the percentage form the whole. Then, we need to calculate the final price of the TV with the extra discount:. To find out the percentage difference between the original and final price, we can simply subtract the two prices (which is why it is easiest to start with the number

Example Question #1307 :一个ct Math

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?

Possible Answers:

$240

$272

$160

$208

$128

Correct answer:

$208

Explanation:

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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