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

You are watching: Pamela buys a shirt for $36. if tax is 8%, what is the total cost of the shirt?


Explanation:

County A: main point the price by the sales taxation to find out exactly how much money the sales taxes will add. Psychic to transform percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and also the sales tax.

$75 + $5.4375 = $80.4375

County B: multiply the price by the sales tax to discover out how much money the sales taxation will add. Psychic to convert percent to 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 : just how To uncover The revenue Price


Mary was shopping for a new dress, and found one she chosen for $48. Better yet, it to be 25% off. How much did mar pay because that the dress? 


Possible Answers:

$12


$36


$30


$40


$23


Correct answer:

$36


Explanation:

To uncover the sale price we can collection up a proportion. 25/100 = x/48. We save the 100 and also 48 both top top the bottom the the portion since they represent the "whole". X to represent the discount off the complete price of the dress. To settle this proportion, us cross multiply, yielding 48 * 25 = 100x. Alternatively, if you an alert that 25/100 simplifies to 1/4, we deserve to use 1/4 in ours 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 native the initial price yielding 48 – 12 = 36; thus, she payment $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 concern #3 : just how To uncover The revenue Price


Robin sees the a jacket in ~ the mall has actually been significant down 20% native an original price the $49.99. Taking right into account the sales tax of 8%, which is applied after acquisition the discount, just how much will Robin have actually left end if she lugged $60 come the mall?


Possible Answers:

*



*


*


*


Correct answer:


Explanation:

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

100% – 20% = 80%

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

80% = 0.80

*

Add in the sales tax.

8% = 0.08

*

Subtract the last price native Robin"s budget plan of $60.

*


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Example inquiry #4 : just how To find The revenue Price


There is a sale because that 20% turn off on a sweater your grandma desires to purchase you for christmas. The original price is $15.98. Exactly how much walk the sweater expense with the discount?


Possible Answers:
Correct answer:

*


Explanation:

To find the answer, friend must an initial convert the sales percent to a decimal by moving the decimal left two places.

*

Then, main point the total cost by the decimal.

*

This offers us the quantity of the discount. To find the continuing to be cost, us subtract the number from the original expense to acquire the answer.

*


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Example question #1 : exactly how To discover The sale Price


A shirt that originally expense $45 is ~ above sale. The sale price is 15% off of the original price. What is the revenue price?


Possible Answers:
Correct answer:

*


Explanation:

First, calculation 15% the $45:

*

Therefore, the discount is $6.75 off of the price that the shirt. To discover the revenue price, subtract the discount indigenous the initial price:

*


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Example question #6 : exactly how To discover The sale Price


An article is significant up by 25% and also then significant down by 40%. What percentage of the initial price is the brand-new price?


Possible Answers:
Correct answer:

*


Explanation:

The quickest way to execute this difficulty is come realize the a "mark up" is done by including that percentage to 100%. For circumstances a 40% markup is perform by multiply by 1.4. A markdown is done by individually that portion from 100%. Because that instance, a 25% markdown is carry out by multiplying by 0.75. (Think the the latter situation like this: it is 75% of its original price.)

Based on this remarks, the difficulty is easy. When we do not recognize our price we know that the very first markup provides us:

*

To this, we now perform the mark down:

*

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

*

This is the same thing together saying "75% that the original price (

*
)."


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Example inquiry #7 : just how To uncover The revenue Price


The price of an object is $18 after a 25% discount. What to be its original price? 


Possible Answers:
Correct answer:

*


Explanation:

If miscellaneous is discounted

*
, it is really
*
 of its original price. The inquiry is thus asking, "
*
of what is
*
?" This can be analyzed as:

*

Solve for 

*
by separating both political parties of the equation by
*
:

*

*

Therefore, it was initially

*
.


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Example question #8 : how To find The revenue Price


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


Possible Answers:
Correct answer:

*


Explanation:

When things is significant down

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

*

Solve for x by separating both sides by 0.40:

*
.


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Example question #9 : just how To discover The sale Price


At a room store, a deluxe pair of jeans normally expenses $170. This week, the keep is having actually a sale and significant the jeans 20% off. However, jane is one employee of the store and gets secondary 25% discount turn off the already discounted sale price. Just how much will certainly Jane pay for the jeans?


Possible Answers:
Correct answer:

*


Explanation:

The very first step is to discover 20% of $170. This deserve to be done easily by multiply 170 by 0.2, yielding $34. Us subtract 34 indigenous 170 to gain the initial sale price, $136. Next, we have to take 25% the that currently discounted figure, and we perform this by multiply 136 by 0.25. Again, we occur to obtain $34, and after we subtract the number indigenous 136 we gain our final price, $102. The various other answer selections are either the an outcome of forget a action or of straightforward calculation errors.


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Example concern #10 : how To discover The sale Price


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


Possible Answers:
Correct answer:

*


Explanation:

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

*

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

Let 

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

The sales taxes paid is 6.125% the

*
, or 
*
, for this reason the lot paid for the groceries is 
*
.

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

*
. We have the right to solve the inequality because that
*
.

*

*

The maximum lot Mr. Jones can spend before tax is $85.48.

See more: One Drawback Of Offering Liberal Credit To Customers Is That It Can:


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