How to find the sale price

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PSAT 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 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

3

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.

4

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.

5

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?

40%

44%

48%

50%

56%

Explanation

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.

6

If Stacy paid \$26 for a shirt at a 30%-off sale, what was the original price of the shirt?

Explanation

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

7

A shirt at the store has a retail price of \$17.50. If a customer buys the shirt and uses a 15% coupon, how much does he pay for the shirt, assuming there is no sales tax?

(Round to two decimal places.)

\$14.88

\$14.87

\$14

\$15.75

\$15.25

Explanation

If a customer has a 15% coupon, the customer will pay 85% of the original price. To solve this problem, simply multiply the original price of the shirt by the percent of the price the customer still has to pay:

Round to the nearest two decimal places, and we see that the price of the shirt is \$14.88.

8

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?

\$139.10

\$130.00

\$137.00

\$162.50

\$214.70

Explanation

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

9

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?

Explanation

The item begins at \$75. it is 10% off.

You then take an additional 25% off:

There is then a 7% sales tax:

10

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?

5

6

7

8

9

Explanation

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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