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.

You are watching: A store is offering a 25 discount

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?

\$40

\$30

\$23

\$36

\$12

\$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?

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?

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?

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?

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?

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?

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?

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.

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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