How to find the sale price

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SAT Math › How to find the sale price

Questions 1 - 10
1

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?

Explanation

The sale price is 85% less than the original which is the same as 15% of the original .

2

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)?

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.

3

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?

$3

$30

$20

$5

Explanation

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

4

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.

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

5

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)?

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.

6

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?

Explanation

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.

7

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?

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.

8

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).

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.

9

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?

$100

$99

$98

$101

$102

Explanation

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

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?

$30

$25

$20

$50

$75

Explanation

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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