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?

\$40

\$30

\$23

\$36

\$12

\$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?

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

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?

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?

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?

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?

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?

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?

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.

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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