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?

\$12

\$36

\$30

\$40

\$23

\$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?

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

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?

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?

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?

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?

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?

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?

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.

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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