A girl in ar A invested $75 before a 7.25% sales tax and a girl in county B spent $70 before an 8% sales tax. Exactly how much more money go the girl from county A invest than the girl from ar B after ~ sales tax was applied? round to the nearest hundredth.

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Explanation:

County A: main point the price through the sales taxes to discover out just how much money the sales tax will add. Psychic to transform percent come decimal!

$75 * 0.0725 = $5.4375

Add the initial price and also the sales tax.

$75 + $5.4375 = $80.4375

County B: main point the price by the sales taxes to uncover out how much money the sales taxes will add. Mental to convert percent come decimal!

$70 * 0.08 = $5.6

Add the initial price and also the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round come the nearest hundredth: $4.84


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Example question #2 : exactly how To discover The sale Price


Mary to be shopping for a brand-new dress, and also found one she favored for $48. Much better yet, it was 25% off. Just how much did mar pay for the dress? 


Possible Answers:

$40


$30


$23


$36


$12


Correct answer:

$36


Explanation:

To discover the sale price us can set up a proportion. 25/100 = x/48. We store the 100 and also 48 both ~ above the bottom that the portion since they represent the "whole". X to represent the discount turn off the full price of the dress. To settle this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notification that 25/100 simplifies come 1/4, we can use 1/4 in our proportion rather of 25/100, thus, 1/4 = x/48. Then, overcome multiplying, we gain 48 = 4x, so x = 12. Then we subtract this discount indigenous the initial price yielding 48 – 12 = 36; thus, she paid $36 because that the dress.

25% = 25/100

*

*

(1) * (48) = (4) * (x)

48 = 4x

(48)/4 = (4x)/4

12 = x

The discount is $12.

$48 – $12 = $36


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Example question #3 : just how To uncover The sale Price


Robin sees the a jacket at the mall has actually been significant down 20% indigenous an original price of $49.99. Taking right into account the sales taxes of 8%, which is applied after taking the discount, how much will certainly Robin have left over if she brought $60 come the mall?


Possible Answers:


*


*


*


*


Correct answer:


Explanation:

After the discount, she will certainly pay for the remaining price of the jacket. This expense will be equal to the percent remaining after the discount.

100% – 20% = 80%

She will pay because that 80% that the original cost.

80% = 0.80

*

Add in the sales tax.

8% = 0.08

*

Subtract the final price indigenous Robin"s spending plan of $60.

*


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Example question #4 : how To uncover The sale Price


There is a sale because that 20% turn off on a sweater her grandma desires to to buy you because that christmas. The initial price is $15.98. Exactly how much go the sweater expense with the discount?


Possible Answers:
Correct answer:

*


Explanation:

To discover the answer, you must very first convert the sales portion to a decimal by relocating the decimal left 2 places.

*

Then, main point the total cost by the decimal.

*

This provides us the lot of the discount. To find the staying cost, us subtract that number indigenous the original price to obtain the answer.

*


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Example inquiry #5 : how To uncover The sale Price


A shirt the originally expense $45 is top top sale. The sale price is 15% off of the initial price. What is the revenue price?


Possible Answers:
Correct answer:

*


Explanation:

First, calculate 15% of $45:

*

Therefore, the discount is $6.75 off of the price the the shirt. To uncover the revenue price, subtract the discount from the original price:

*


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Example concern #6 : exactly how To find The sale Price


An items is significant up by 25% and then significant down by 40%. What percent of the original price is the brand-new price?


Possible Answers:
Correct answer:

*


Explanation:

The quickest means to execute this problem is come realize the a "mark up" is done by including that percent to 100%. For instance a 40% markup is carry out by multiplying by 1.4. A markdown is excellent by subtracting that percentage from 100%. For instance, a 25% markdown is performed by multiply by 0.75. (Think the the latter situation like this: it is 75% of its initial price.)

Based on this remarks, the trouble is easy. When we do not understand our price we understand that the an initial markup offers us:

*

To this, we currently perform the note down:

*

Multiply out your coefficients (the numbers in the front):

*

This is the very same thing together saying "75% of the initial price (

*
)."


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Example question #7 : how To discover The sale Price


The price of an object is $18 after ~ a 25% discount. What was its initial price? 


Possible Answers:
Correct answer:

*


Explanation:

If something is discounted

*
, that is yes, really
*
 of its original price. The question is for this reason asking, "
*
that what is
*
?" This have the right to be translated as:

*

Solve for 

*
by dividing both sides of the equation by
*
:

*

*

Therefore, the was originally

*
.


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Example inquiry #8 : exactly how To find The revenue Price


The price of things is $25 ~ a 60% discount. What to be the original price?


Possible Answers:
Correct answer:

*


Explanation:

When an item is marked down

*
, the is
*
 of its original price. The question could be rephrased as "
*
of what is
*
?" This can be rewritten together an equation quite simply:

*

Solve for x by splitting both sides by 0.40:

*
.


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Example inquiry #9 : just how To find The revenue Price


At a room store, a high-end pair of blue jeans normally costs $170. This week, the store is having a revenue and marked the jeans 20% off. However, woman is an employee of the store and gets second 25% discount turn off the already discounted sale price. Exactly how much will certainly Jane pay for the jeans?


Possible Answers:
Correct answer:

*


Explanation:

The very first step is to find 20% that $170. This have the right to be done conveniently by multiply 170 by 0.2, yielding $34. We subtract 34 from 170 to gain the initial sale price, $136. Next, we have to take 25% that that currently discounted figure, and we perform this by multiplying 136 by 0.25. Again, we occur to obtain $34, and also after us subtract the number indigenous 136 we gain our last price, $102. The other answer choices are either the an outcome of forget a action or of simple calculation errors.


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Example question #10 : exactly how To discover The revenue Price


Mr. Jones is trying to restrict his expenditures on groceries to 12% the his salary. He renders $756.00 weekly, and he stays in a state wherein the sales tax price is 6.125% ~ above groceries. Calculate the maximum price before sales tax of the groceries Mr. Jones have the right to buy each week in order to stick come his self-imposed limit.


Possible Answers:
Correct answer:

*


Explanation:

According come his rule, Mr. Jones can spend 12% of $756.00 weekly.

*

This is the amount he have the right to spend after sales tax.

Let 

*
 be the price that the groceries before the sales taxes is figured in. 

The sales taxes paid is 6.125% that

*
, or 
*
, therefore the lot paid because that the groceries is 
*
.

Since Mr. Jones is restricted to spending $90.72, this way that

*
. We deserve to solve the inequality because that
*
.

*

*

The maximum amount Mr. Jones have the right to spend prior to tax is $85.48.

See more: How Much Does The Average House Weigh ? How Much Does A House Weigh


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