a jacket costs $72.90 before it is marked down 42%. what is its new price, to the nearest cent?

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A girl in County A spent $75 earlier a seven.25% sales tax and a daughter in Canton B spent $seventy before an 8% sales tax. How much more money did the daughter from Canton A spend than the girl from Canton B afterwards sales taxation was applied? Circular to the nearest hundredth.

Possible Answers:

$sixteen.25

$1.63

$5.84

$ii.63

$four.84

Explanation:

County A: Multiply the price by the sales revenue enhancement to find out how much money the sales tax volition add together. Retrieve to catechumen pct to decimal!

$75 * 0.0725 = $five.4375

Add the original price and the sales tax.

$75 + $five.4375 = $80.4375

County B: Multiply the price by the sales revenue enhancement to observe out how much money the sales revenue enhancement will add. Retrieve to convert percent to decimal!

$lxx * 0.08 = $5.vi

Add the original price and the sales tax.

$70 + $5.6 = $75.6

So take the deviation.

fourscore.4375 – 75.6 = iv.8375

Round to the nearest hundredth: $4.84

Mary was shopping for a new dress, and institute one she liked for $48. Better notwithstanding, it was 25% off. How much did Mary pay for the apparel?

Explanation:

To detect the sale toll nosotros can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they stand for the "whole". x represents the discount off the total toll of the dress. To solve this proportion, we cantankerous multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/iv, nosotros tin apply 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so ten = 12. Then we subtract this disbelieve from the original toll yielding 48 – 12 = 36; thus, she paid $36 for the wearing apparel.

25% = 25/100

(1) * (48) = (iv) * (x)

48 = 4x

(48)/4 = (4x)/four

12 = x

The discount is $12.

$48 – $12 = $36

Robin sees that a jacket at the mall has been marked down 20% from an original price of $49.99. Taking into account the sales tax of eight%, which is practical after taking the discount, how much will Robin take left over if she brought $60 to the mall?

Correct answer:

Explanation:

After the disbelieve, she volition pay for the remaining cost of the jacket. This cost volition be equal to the per centum remaining after the discount.

100% – twenty% = 80%

She volition pay for eighty% of the original cost.

80% = 0.80

Add in the sales tax.

8% = 0.08

Subtract the final price from Robin's budget of $sixty.

At that place is a sale for xx% off on a sweater your grandma wants to purchase you lot for christmas. The original price is $15.98. How much does the sweater price with the disbelieve?

Correct answer:

Explanation:

To find the answer, y'all must offset convert the sales percentage to a decimal past moving the decimal left two places.

And then, multiply the total toll by the decimal.

This gives united states the amount of the discount. To find the remaining cost, we subtract that number from the original cost to get the answer.

A shirt that originally cost $45 is on auction. The sale price is xv% off of the original price. What is the auction toll?

Right answer:

Explanation:

Get-go, calculate 15% of $45:

Therefore, the disbelieve is $6.75 off of the toll of the shirt. To notice the sale toll, subtract the disbelieve from the original toll:

An particular is marked up by 25% and so marked down by 40%.  What percentage of the original price is the new price?

Correct reply:

Explanation:

The quickest way to do this trouble is to realize that a "mark up" is done by calculation that pct to 100%.  For instance a 40% markup is performed by multiplying by 1.iv.  A markdown is washed by subtracting that percentage from 100%.  For example, a 25% markdown is performed by multiplying by 0.75.  (Call up of the latter example similar this: it is 75% of its original price.)

Based on these remarks, the problem is easy.  While nosotros do not know our price we know that the first markup gives us:

To this, we now perform the mark downwardly:

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

This is the same thing every bit proverb "75% of the original price ()."

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

Correct answer:

Caption:

If something is discounted , it is really  of its original toll.  The question is thus asking, " of what is ?" This can be translated equally:

Solve for by dividing both sides of the equation by :

Therefore, it was originally .

The price of an item is $25 after a sixty% discount.  What was the original price?

Correct reply:

Explanation:

When an particular is marked down , it is  of its original price.  The question could be rephrased as " of what is ?"  This could exist rewritten as an equation rather merely:

Solve forx by dividing both sides by 0.40:

.

At a department store, a high-finish pair of jeans commonly costs $170. This calendar week, the shop is having a sale and marked the jeans 20% off. However, Jane is an employee of the store and gets an boosted 25% discount off the already discounted sale price. How much volition Jane pay for the jeans?

Correct answer:

Explanation:

The kickoff step is to observe twenty% of $170. This can exist done easily past multiplying 170 by 0.2, yielding $34. Nosotros subtract 34 from 170 to go the initial sale price, $136. Next, we accept to have 25% of that already discounted figure, and we do this by multiplying 136 by 0.25. Once more, nosotros happen to get $34, and after we subtract that number from 136 we get our final toll, $102. The other answer choices are either the result of forgetting a pace or of simple calculation errors.

Mr. Jones is trying to restrict his expenditures on groceries to 12% of his salary. He makes $756.00 weekly, and he lives in a land where the sales taxation rate is 6.125% on groceries. Calculate the maximum pricebefore sales tax of the groceries Mr. Jones can buy each week in lodge to stick to his self-imposed limit.

Correct answer:

Caption:

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

This is the amount he can spend afterwards sales taxation.

Permit be the price of the groceriesbefore the sales tax is figured in.

The sales tax paid is 6.125% of , or, so the corporeality paid for the groceries is.

Since Mr. Jones is limited to spending $xc.72, this means that . Nosotros can solve the inequality for .

The maximum amount Mr. Jones tin spend earlier tax is $85.48.

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