How to find the sale price
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PSAT Math › How to find the sale price
Company 
Explanation
The sale price is 85% less than the original which is the same as 15% of the original 
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
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.
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.
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.
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
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.
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
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:
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).