ACT Math : How to find the sale price

Example Questions

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Example Question #1 : How To Find The Sale Price

Mary wants to buy a new skirt. It was originally $30, but is marked 20% off. She also received a coupon for 15% off the sale price. How much will Mary pay for the skirt? Possible Answers:$10.50

$19.50$20.40

$23.90 Correct answer:$20.40

Explanation:

20% off means that the new price of the skirt will be 80% of the original price:

$30(100% – 20%) =$30(80%)

Converting the percent to a decimal gives:

$30(0.8) =$24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:$24(100%  – 15%) = $24(85%) Again converting the percent to a decimal gives:$24(0.85) = $20.40 Example Question #1 : How To Find The Sale Price A tablet computer listed at an original price of$250 is placed on sale for 20% off the original price.  Bob, an employee of the store, gets an additional 30% off the sale price.  What price would Bob pay to purchase the tablet computer?

$125$140

$100$200

$140 Explanation: Take the original price and take off 20% =$250(1 - .2) = $250(.8) =$200

Then take off another 30% $200(1 - .3) =$140

Example Question #1 : How To Find The Sale Price

The manager of a department store decided to raise the price of a certain pair of shoes by 30%. The next day, the store ran a sale of 20% off all items. What is the difference in price, in percentage terms, between the initial price of the shoes and the sale price?

The price increased by 10%

The price decreased by 4%

The price increased by 1.5%

The price increased by 4%

The price decreased by 10%

The price increased by 4%

Explanation:

To find the price after the initial 30% increase by the manager, you must multiply the original price by 1.3. Then, to find the price after the 20% off sale, you must multiply the new price by 0.8. The original price, therefore, is being multiplied by 1.3*0.8 = 1.04, indicating a 4% overall increase.

Example Question #1 : How To Find The Sale Price

A shirt is originally priced at $54. It is on sale for 60% off, and Jeff has a coupon for an additional 15% off the reduced price. What is the final price Jeff pays for the shirt? Possible Answers:$21.60

$18.36$24.30

$4.86$13.50

$18.36 Explanation: After 60% off, the shirt is marked down to$21.60 (found by: $54 -$54*0.6 = $21.60). Jeff uses a 15% off coupon, knocking the price down to$18.36 ( found by: $21.60 -$21.60*0.15 = $18.36). Example Question #1 : How To Find The Sale Price A video game console with a list price of$500 is marked down 20%. If Katie gets an employee discount of 10% off the sale price, how much does she pay for the video game console?

$340$450

$360$400

$350 Correct answer:$360

Explanation:

First find the sale price. Multiply the list price by .2 and subtract that from the list price. 500 – 500 * .2 = 500 – 100 = 400. Now take the employee discount from the new price, 400 – 400 * .1 = 400 – 40 = 360, so Katie would pay $360 for the video game console. Example Question #6 : How To Find The Sale Price A shirt, originally$50, is on sale for 20% off. If Andrew has a coupon that takes 15% off the reduced price, what does he pay?

$34.00$37.00

$32.50$10.00

$34.00 Explanation: The shirt is on sale for 50 x .8 =$40. If Andrew takes another 15% off, he will pay $40 x .85=$34.00

Example Question #1 : How To Find The Sale Price

A blue dress is marked down 15%. What is the sale price of the dress if the regular price is $150? Possible Answers:$127.50

$115.25$137.50

$140.00$103.50

$127.50 Explanation: There are two ways to work this problem. The first way is to find the amount of the discount and subtract from the original price: 0.75 * 150 = 22.50, then 150 – 22.50 = 127.50 The second method finds the sales price directly: 100% = % Discount + % Sales Price or 1 – % Discount = % Sales Price 1 – 0.15 = 0.85, so the sales price is 0.85 * 150 = 127.50 Example Question #1 : How To Find The Sale Price Gina wants to purchase a new television. It was originally$500, but is marked 25% off. She also received a coupon for 10% off the sale price. How much will Gina pay for the television?

$465$102.50

$337.50$375.25

$350.00 Correct answer:$337.50

Explanation:

25% off means that the new price of the television will be 75% of the original price:

$500(100% – 25%) =$500(75%)

Converting the percent to a decimal gives:

$500(0.75) =$375.00

There is an additional 10% off the sale price of $375.00, so the final price is 90% of the sale price:$24(100%  – 10%) = $375(90%) Again converting the percent to a decimal gives:$375(0.9) = $337.50 So, we choose C. Example Question #2 : How To Find The Sale Price The grocery store is having a sale on cereal. The sale is 20% off each box if you buy 3 boxes of the same type and 40% off each box if you buy 5 boxes of the same type. You purchase one box of puffed rice priced at$3.50, three boxes of bran flakes priced at $4.25 and five boxes of granola priced at$5.00.  What is the total price after the discount is applied.

$25.00$10.00

$28.70$28.50

$15.00 Correct answer:$28.70

Explanation:

Puffed rice: 1 box at full price = $3.50 Bran Flakes: 3 boxes at 20% off of$4.25 = (3 * 4.25) * 0.20 = (12.75) * 0.20 = $2.55 Cost =$12.75 – $2.55 =$10.20

Granola: 5 at 40% off of $5.00 = (5 * 5.00) * 0.40 = (25) * 0.40 =$10.00

Cost = $25.00 –$10.00 = $15.00 Total Cost =$3.50 + $10.20 +$15.00 = $28.70 Example Question #1 : How To Find The Sale Price An ecomony car gets 34 miles per gallon. If gas is currently priced at$3.98 per gallon, how much would the gas cost for this car to travel 400 miles.

$43.32$64.28
$82.46$26.48
$46.82 Correct answer:$46.82
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