PSAT Math : Percentage

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #11 : How To Find The Sale Price

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?

 

Possible Answers:

$25

$50

$20

$75

$30

Correct answer:

$30

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.

Example Question #1201 : Sat Mathematics

Possible Answers:

Correct answer:

Explanation:

Sale price:  off: 

 coupon: 

Example Question #1202 : Sat Mathematics

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?

Possible Answers:

Correct answer:

Explanation:

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

Example Question #1203 : Sat Mathematics

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?

Possible Answers:

Correct answer:

Explanation:

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

You then take an additional 25% off:

There is then a 7% sales tax:

Example Question #11 : Percentage

Julie goes shopping at Gap. There is a storewide sale of 30% off. She buys a sweater on clearance that gets an additional 50% off. If the sweater was originally $50, how much did she pay?

Possible Answers:

$10

$17.50

$35

$21.50

$25

Correct answer:

$17.50

Explanation:

The original price was $50. First you take 30% off (50 * (100 - 30)/100 = $35). Then you take an additional 50% off the new price (35 * 50/100 = 17.50)

Example Question #11 : How To Find The Sale Price

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

Possible Answers:

Correct answer:

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:

0.7x = 26 (0.7 is the decimal value of 70%)

x = 26/0.7 = $37.14

Example Question #11 : How To Find The Sale Price

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?

Possible Answers:

$162.50

$130.00

$137.00

$214.70

$139.10

Correct answer:

$139.10

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

Example Question #11 : Percentage

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.)

Possible Answers:

$15.25

$15.75

$14.88

$14

$14.87

Correct answer:

$14.88

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.

Example Question #411 : Arithmetic

Your friend works at a computer store. She can get a 15% discount on any item’s current price for as many items as she wants. She wants to buy a laptop for $2200 and a smartphone for $200. Local sales tax where your friend lives is 8%. What will be her total cost to buy these two items?

Possible Answers:

$2203.20

$2592

$1848.08

$2400

$2040

Correct answer:

$2203.20

Explanation:

First, find the total price of the products $2200 + $200 = $2400. 

Then apply the 15% discount: $2400 * 0.15 = $360

Subtract the discount: $2400 – $360 = $2040. 

Then find cost of sales tax $2040 * 0.08 = 163.20  

Add: $2040 + 163.20 = $2203.20. 

(An alternative would be to multiply the cost by 1.08.)

Example Question #1 : How To Find Amount Of Profit

A sunglasses kiosk at the mall makes a $50 profit for every 6 pairs of sunglasses it sells.  How many pairs of sunglasses must it sell to earn $1000 profit?

Possible Answers:

20

30

300

120

100

Correct answer:

120

Explanation:

Divide the profit per 6 pairs into the total desired profit $1000/$50 = 20. 

Multiply 20 by 6 sunglasses = 120 sunglasses.  Or use 6/50 = x/1000 and solve for x.

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