### All ACT Math Resources

## Example Questions

### Example Question #11 : How To Find The Sale Price

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?

**Possible Answers:**

$367.50

$393.75

$281.50

$157.50

$525.50

**Correct answer:**

$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

### Example Question #14 : How To Find The Sale Price

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?

**Possible Answers:**

$0.80

$5.00

$4.00

$3.40

$4.20

**Correct answer:**

$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

### Example Question #11 : How To Find The Sale Price

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?

**Possible Answers:**

$75.50

$90.75

$67.50

$60.50

$70.25

**Correct answer:**

$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.

### Example Question #11 : How To Find The Sale Price

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?

**Possible Answers:**

Carlita, by $9.00

Howard, by $9.00

Carlita, by $10.75

They pay the same price

Howard, by $10.75

**Correct answer:**

Carlita, by $9.00

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.

### Example Question #11 : How To Find The Sale Price

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?

**Possible Answers:**

**Correct answer:**

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*

### Example Question #15 : How To Find The Sale Price

A ring costs . It is then marked up . What is the current price?

**Possible Answers:**

**Correct answer:**

### Example Question #21 : How To Find The Sale Price

Ann wants to buy a sweater that's off. She also has a coupon for off the sale price. (This coupon is applied after the price due to the off sale is calculated.) After the sale discount and the coupon, how much will the sweater cost?

**Possible Answers:**

**Correct answer:**

To find the sale price, first find % of $:

$

Subtract this amount from to find the sale price:

Finally, subtract the coupon:

### Example Question #21 : Sale Prices

A shirt was originally , but the manager of the store decided to mark it down by . What is the new cost of the shirt after this?

**Possible Answers:**

**Correct answer:**

There are two ways to do a question like this. The first is to find out what the markdown is. We do this by multiplying:

to get

Then, you subtract this from to get .

The other way to solve this is to notice that the total cost of the shirt will be only of the original price. Therefore, you can multiply by to get as well.

### Example Question #1291 : Act Math

A book is marked down by and then by another . What is its final sale cost?

**Possible Answers:**

**Correct answer:**

A book is marked down by and then by another . What is its final sale cost?

You can do a problem like this two ways. For the first way, you can first multiply:

to get

Subtracting this from , you get a price of .

Now, you do the same thing again for the :

Subtracting this from , you get .

The easier way to do problems like this is to notice that after the discount, the price will be of the original. Then, after the discount, it will be of that altered price. You can just multiply sequentially to get your amount:

### Example Question #21 : How To Find The Sale Price

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.

**Possible Answers:**

**Correct answer:**

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