Algebra 1 : Monetary Percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Find The Sale Price

A dealership is having a special event where all cars are given a 15% discount. What is the sale price of a car that normally costs $18,000?

Possible Answers:

Correct answer:

Explanation:

With a 15% discount, the car must be priced at 85% of its original price (100% minus the 15% discount). Since the car is originally priced at $18,000, the sale price must be 85% of $18,000. To find 85% of $18,000 you must convert it to its decimal equivalent (0.85) and multiply it by $18,000: to get a solution of 15,300.

Example Question #11 : How To Find The Sale Price

A hat that an employee of a discount store wants to buy was marked down 30%; the employee gets a 15% discount on merchandise she buys there. The two discounts together add up to what percent discount off the original regular price?

Possible Answers:

Not enough information is given to solve this problem.

35% discount 

45% discount 

40.5% discount 

50.5% discount 

Correct answer:

40.5% discount 

Explanation:

Let us say for the sake of simplicity that the hat costs $100.00 before discount. Then a 30% discount means that the discount is 30% of $100, or $30, and the new price is $70. Then the employee gets a discount of 15% of the $70, or  ; she will pay .

She ends up paying 59.5% of the original purchase price; that is, she gets a net discount of 40.5%.

Example Question #11 : How To Find The Sale Price

A hat that an employee of a discount store wants to buy was marked down 20%; the employee gets a 10% discount on merchandise she buys there. The two discounts together add up to what percent discount off the original regular price?

Possible Answers:

28% discount

35% discount

30% discount

Not enough information is given to solve this problem.

32% discount

Correct answer:

28% discount

Explanation:

Let us say for the sake of simplicity that the hat costs $100.00 before discount. Then a 20% discount means that the discount is 20% of $100, or $20, and the new price is $80. Then the employee gets a discount of 10% of the $80, or  ; she will pay .

She ends up paying 72% of the original purchase price; that is, she gets a net discount of 28%.

Example Question #13 : How To Find The Sale Price

A perfume that an employee of a discount store wants to buy was marked down 40%; the employee gets a 25% discount on merchandise she buys there. The two discounts together add up to what percent discount off the original regular price?

Possible Answers:

65% discount 

50% discount 

60% discount 

Not enough information is given to solve this problem.

55% discount 

Correct answer:

55% discount 

Explanation:

Let us say for the sake of simplicity that the perfume costs $100.00 before discount. Then a 40% discount means that the discount is 40% of $100, or $40, and the new price is $60. Then the employee gets a discount of 25% of the $60, or  ; she will pay .

She ends up paying 45% of the original purchase price; that is, she gets a net discount of 55%.

Example Question #13 : How To Find The Sale Price

The original price of an item is $20.  When the store sells the item, it marks it up by 20%, after which a 6% tax is added.  What is the final price of this item?

Possible Answers:

Correct answer:

Explanation:

There are two ways to do this problem.  The easiest way is to realize that we can represent two subsequent increases by saying, "After the markup, it is 120% of the original price and then the post-tax cost is 106% of that price."  This can be represented as two consecutive multiplications:

The more difficult way would be first to multiply $20 by 0.20, getting $4.  Adding this to $20, we have $24 for the "tag price."  Now, you will have to multiply $24 by 0.06 to get the amount of tax, which would be $1.44. Then, adding this to $24, you get $25.44, which you could have gotten much more quickly using the method shown above.

Example Question #13 : How To Find The Sale Price

A television set that normally costs $800 is on sale for 20% off this week. If a customer uses a coupon that takes an additional 10% off the sale price, how much would the customer pay for the television set?

Possible Answers:

Correct answer:

Explanation:

The original price of the television set is $800. Taking off 20% of the price, the television set is priced at $640: . With the additional 10% off from the coupon, the price becomes $576: .

Example Question #15 : How To Find The Sale Price

You find a computer you like and discover that its sale price is $650, which is 70% of its original price. What is the original price of that computer?

Possible Answers:

Correct answer:

Explanation:

The sale price of something is determined by the following formula

Where  represents the sale price,  is the percentage of the original price (in decimal form), and  represents the original price.

In this problem, we are given that the sale price of the computer is $650 , which is 70% of the original price. In decimal form, this percentage is written as 0.70. We are to find the original price. Plug in the values

Solve for  by dividing both sides by 0.70

So the original price of the computer is $928.57.

Example Question #2746 : Algebra 1

At a clothing store, winter coats are on sale at a discount of 20%. You found a coat you like and looked at the price tag saying that the regular price is $250. Find the coat's sale price.

Possible Answers:

Correct answer:

Explanation:

With a 20% discount, the sale price of the coat will be 80% (100%-20%=80%)  of the original price.  The sale price of something is normally calculated as

Where  is the sale price,  is the percent of the original price, and  is the original price. Given that the original price of the coat is $250 and knowing that the sale price is at 80% (or 0.80) of the original price, the sale price is calculated as

So the sale price of the coat is $200.

Example Question #21 : How To Find The Sale Price

A car dealership is offering a 22% discount on all of its vehicles today. How much would it cost to purchase a car that normally costs $12,000?

Possible Answers:

Correct answer:

Explanation:

If there is a 22% discount on the car, then the car must be priced at 78% of its original value. Thus, to determine the discounted price of the car, simply multiply its original price by 78% or 0.78: 

The discounted price of the car is $9360.

Example Question #22 : How To Find The Sale Price

An electronics store is running a promotion where all of its computers are discounted by 15%. How much would it cost to buy a computer that normally costs $800?

Possible Answers:

Correct answer:

Explanation:

If the computer is discounted by 15%, then it must be priced at 85% of its original price (100% minus the 15% discount). To determine what 85% of $800, multiply 0.85 by 800: 

for a discounted price of $680.

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