SAT Math : How to find the sale price

Study concepts, example questions & explanations for SAT Math

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Example Questions

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Example Question #21 : How To Find The Sale Price

Margaret has been given a gift card with $150 worth of credit on it. She wants to spend it at the store where her father works, because she will get a 12 1/2 % employee's family discount. Also, the sales tax at the store is 8%.

The price tag on a pair of shoes that she wants to buy there says $200.00. If Margaret decides to buy the shoes and use the credit on her gift card, how much will she have to pay out of her own pocket?

Possible Answers:

Correct answer:

Explanation:

Margaret is getting a 12 1/2 %, or 12.5 %, discount off a $200 pair of shoes; this is

Subtract this discount from the price of the shoes; Margaret will pay 

,

excluding sales tax.

8% of this price is 

,

which, when added to the price, yields 

.

Margaret has $150 of credit on her gift card, so she will pay 

out of her own pocket.

Example Question #22 : How To Find The Sale Price

A two-liter bottle of Zippy Zuppy soda costs $1.49. However, as part of a promotion to mark its ninth anniversary, if nine or more bottles are purchased, the store is offering a savings of 19%.

Jerry purchases two two-liter bottles each of Zippy Zuppy cola, Zippy Zuppy strawberry soda, Zippy Zuppy grape soda, and Zippy Zuppy orange soda. After a sales tax of 5.5%, how much will Jerry pay for the soda (nearest cent)?

Possible Answers:

Correct answer:

Explanation:

Jerry is purchasing  bottles of soda; since he needs to purchase nine bottles to get the discount, he will pay full price, which, before tax, is

.

The sales tax is 5.5% of this, or

 (rounded to the nearest cent)

Add this:

,

which is what Jerry will pay.

Example Question #23 : How To Find The Sale Price

The price of a coffeemaker has been marked down 20% for a clearance sale. Tom buys the coffeemaker with a $10.00 coupon and pays $134.44. Give the price of the coffeemaker before the markdown and excluding the coupon. 

Possible Answers:

Correct answer:

Explanation:

A coupon is applied to the sale price of an item, so the first deduction is the clearance markdown.

Let  be the original price of the coffeemaker. The appliance has been marked down 20%, which means that the sale price is

.

The coupon takes $10 off the price, so the coffeemaker sells for 

 dollars. Set this equal to the actual cost of the coffeemaker, $134.44:

Solving for :

,

the correct response is 

Example Question #24 : How To Find The Sale Price

A two-liter bottle of Zippy Zuppy soda costs $1.39. However, as part of a promotion to mark its sixteenth anniversary, if ten or more bottles are purchased, the store is offering a savings of 16%.

Floyd purchases six two-liter bottles of Zippy Zuppy cola, four two-liter bottles of Zippy Zuppy ginger ale, and two two-liter bottles of Zippy Zuppy orange soda. After a sales tax of 6.5%, how much will Floyd pay for the soda (nearest cent)?

Possible Answers:

Correct answer:

Explanation:

Floyd purchases  bottles of soda, so he will get the discount. Before the discount, the price of the soda is

The amount of the discount is 16% of this, or (rounding to the nearest cent)

making the price before tax

.

The sales tax is 6.5% of this, or (again, rounding to the nearest cent)

Add this:

,

the amount Floyd pays.

Example Question #25 : How To Find The Sale Price

The price of a pair of shoes after a 15% clearance discount and a 20% employee discount is $113.74. 

Give the price of the shoes before the two discounts (nearest cent).

Possible Answers:

Correct answer:

Explanation:

Call the price of the shoes before the two discounts . A reduction in price by 15%, which is the clearance discount, is equal to 

A subsequent reduction in price by 20%, which is the employee discount, is 

Set this quantity equal to the price of the shoes after the two discounts, $113.74, and solve for  by dividing by 0.68:

To the nearest hundredth:

The price of the shoes before the discounts was $167.26.

Example Question #26 : How To Find The Sale Price

Katy buys jeans that is on sale for $84. The tag says that the price was originally $142. What discount is she receiving on the shirt? Round to the nearest tenth of a percent.

Possible Answers:

None of the other answer options.

Correct answer:

Explanation:

Use proportions and cross-multiply to find the percentage of the cost that she is paying, then subtract that answer from the original price to solve for the discount.

If she is paying 59.2% of the regular cost, then subtract that figure from 100%.

100% - 59.2% = 40.8%

You could also set up the proportion so that you could arrive at the answer after cross-multiplying by subtracting 84 from 142 as the first step.

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