# HSPT Math : How to work with percentages

## Example Questions

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### Example Question #1 : How To Work With Percentages

The price of a suit after a 20% employee discount is $240.00. What is the original price? Possible Answers: Correct answer: Explanation: Deducting a 20% discount is the same as charging 80% of the price, so$240.00 is 80% of the original price, which we call . Just solve this equation:

Explanation:

Multiply the price of the groceries before tax - $154.92 - by the decimal equivalent of 9% , which is 0.09. Round this tax to the nearest hundredth (cents), then add to the price of the groceries. Tax: Price after tax: ### Example Question #1341 : Numbers And Operations Susan has a coupon for 10% off any one item at her favorite department store. There is also a storewide sale of 50% off all purchases. If Susan wants to by a shirt originally priced at$42, how much will she pay?

$21.00$16.50

$37.80$18.90

$20.00 Correct answer:$18.90

Explanation:

The storewide sale discounts the shirt by 50%:

Susan also has the 10% off coupon, so she's really paying 90% of the cost of the shirt:

### Example Question #1 : How To Find The Whole From The Part With Percentage

Exactly  of the plants in a garden are tomato plants.  Which of the following could be the total number of plants in the garden?

Explanation:

The total number of plants has to be divisible by 3.  Of the answer choices, the only one that is divisible by 3 is 18.  You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,

which is divisible by 3, so 18 is divisible by 3.

### Example Question #2 : Percentages

To get on the ballot for student body president, a student must turn in a petition with the signatures of 3% of the students. If there are 5,319 students, how many signatures must a student get to be on that ballot? (Nearest whole person)

Explanation:

3% of 5,319 can be calculated by multiplying 5,319 by 0.03, the decimal equivalent of 3%:

Multiply 5,319 by 3, then move the decimal point so that two digits are to the right:

,

so

Rounded to the nearest whole number, this is 160 signatures.