A girl in ar A spent $75 prior to a 7.25% sales tax and a girl in county B spent $70 before an 8% sales tax. Just how much more money did the girl from ar 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: multiply the price through the sales taxes to find out just how much money the sales tax will add. Mental to convert percent come decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

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

$70 * 0.08 = $5.6

Add the original price and also the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84


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Example question #2 : how To uncover The revenue Price


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


Possible Answers:

$40


$30


$23


$36


$12


Correct answer:

$36


Explanation:

To discover the revenue price us can set up a proportion. 25/100 = x/48. We save the 100 and 48 both top top the bottom the the portion since they represent the "whole". X represents the discount off the complete price of the dress. To resolve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notification that 25/100 simplifies come 1/4, we have the right to use 1/4 in our proportion rather of 25/100, thus, 1/4 = x/48. Then, overcome multiplying, we acquire 48 = 4x, therefore x = 12. Then us subtract this discount native the initial price yielding 48 – 12 = 36; thus, she paid $36 for 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 : how To uncover The revenue Price


Robin sees that a jacket at the mall has been significant down 20% from an original price of $49.99. Taking into account the sales tax of 8%, i m sorry is applied after taking the discount, how much will Robin have actually 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 cost will be equal to the percent staying after the discount.

100% – 20% = 80%

She will certainly pay for 80% the the initial cost.

80% = 0.80

*

Add in the sales tax.

8% = 0.08

*

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

*


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Example question #4 : just how To discover The revenue Price


There is a sale for 20% off on a sweater your grandma wants to buy you because that christmas. The original price is $15.98. Exactly how much does the sweater cost with the discount?


Possible Answers:
Correct answer:

*


Explanation:

To discover the answer, girlfriend must an initial convert the sales percentage to a decimal by relocating the decimal left 2 places.

*

Then, multiply the total cost by the decimal.

*

This gives us the amount of the discount. To uncover the remaining cost, us subtract the number indigenous the original expense to obtain the answer.

*


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Example concern #5 : how To discover The revenue Price


A shirt the originally expense $45 is on sale. The sale price is 15% turn off of the original price. What is the sale price?


Possible Answers:
Correct answer:

*


Explanation:

First, calculate 15% that $45:

*

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

*


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Example concern #6 : just how To discover The revenue Price


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


Possible Answers:
Correct answer:

*


Explanation:

The quickest means to do this difficulty is come realize that a "mark up" is excellent by adding that percentage to 100%. For circumstances a 40% markup is performed by multiply by 1.4. A markdown is done by subtracting that percentage from 100%. For instance, a 25% markdown is carry out by multiply by 0.75. (Think the the latter situation like this: the is 75% that its original price.)

Based on these remarks, the trouble is easy. If we execute not understand our price we understand that the very first markup gives us:

*

To this, we currently perform the mark down:

*

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

*

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

*
)."


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Example question #7 : just how To uncover The sale Price


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


Possible Answers:
Correct answer:

*


Explanation:

If other is discounted

*
, that is yes, really
*
 of its initial price. The concern is hence asking, "
*
of what is
*
?" This can be interpreted as:

*

Solve for 

*
by splitting both political parties of the equation through
*
:

*

*

Therefore, the was originally

*
.


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Example question #8 : exactly how To discover The sale Price


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


Possible Answers:
Correct answer:

*


Explanation:

When things is significant down

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

*

Solve for x by splitting both sides by 0.40:

*
.


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Example inquiry #9 : how To find The sale Price


At a room store, a luxury pair of blue jeans normally prices $170. This week, the save is having a sale and significant the jeans 20% off. However, jane is one employee that the store and also gets second 25% discount turn off the already discounted sale price. Just how much will certainly Jane pay because that the jeans?


Possible Answers:
Correct answer:

*


Explanation:

The first step is to uncover 20% the $170. This can be done easily by multiplying 170 by 0.2, yielding $34. We subtract 34 indigenous 170 to acquire the initial revenue price, $136. Next, we have to take 25% the that already discounted figure, and we do this by multiplying 136 through 0.25. Again, we occur to get $34, and after we subtract the number native 136 we obtain our final price, $102. The various other answer options are either the result of forget a action or of straightforward calculation errors.


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


Mr. Jones is trying to restrict his expenditure on groceries come 12% of his salary. He renders $756.00 weekly, and he lives in a state where the sales tax rate is 6.125% top top groceries. Calculate the best 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 deserve to spend 12% of $756.00 weekly.

*

This is the lot he deserve to spend after sales tax.

Let 

*
 be the price of the groceries before the sales taxation is figured in. 

The sales taxation paid is 6.125% of

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

Since Mr. Jones is minimal to safety $90.72, this method that

*
. We have the right to solve the inequality for
*
.

*

*

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


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