County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$70 * 0.08 = $5.6

Add the original price and 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

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.

25% = 25/100

$\displaystyle \frac{25}{100}=\frac{x}{48}$

$\displaystyle \frac{1}{4}=\frac{x}{48}$

(1) * (48) = (4) * (x)

48 = 4x

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

12 = x

The discount is $12.

$48 – $12 = $36

After the discount, she will pay for the remaining cost of the jacket. This cost will be equal to the percent remaining after the discount.

100% – 20% = 80%

She will pay for 80% of the original cost.

80% = 0.80

$\displaystyle \$49.99 * (0.80) = \$39.99$

Add in the sales tax.

8% = 0.08

$\displaystyle \$39.99+ (\$39.99*0.08) = \$39.99+ (\$3.20)=\$43.19$

Subtract the final price from Robin's budget of $60.

$\displaystyle \$60.00 - \$43.19 = \$16.81$

To find the answer, you must first convert the sales percentage to a decimal by moving the decimal left two places.

$\displaystyle 20\% =0.20$

Then, multiply the total cost by the decimal.

$\displaystyle \$15.98(0.20)=\$3.19$

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

$\displaystyle \$15.98-\$3.19=\$12.79$

First, calculate 15% of $45:

$\displaystyle \small 0.15\times 45 = 6.75$

Therefore, the discount is $6.75 off of the price of the shirt. To find the sale price, subtract the discount from the original price:

$\displaystyle \small 45-6.75=38.25$

The quickest way to do this problem is to realize that a "mark up" is done by adding that percentage to 100%.  For instance a 40% markup is performed by multiplying by 1.4.  A markdown is done by subtracting that percentage from 100%.  For instance, a 25% markdown is performed by multiplying by 0.75.  (Think of the latter case like this: it is 75% of its original price.)

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

$\displaystyle 1.25 * x$

To this, we now perform the mark down:

$\displaystyle 0.6 * 1.25 * x$

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

$\displaystyle 0.75 * x$

This is the same thing as saying "75% of the original price ($\displaystyle x$)."

If something is discounted $\displaystyle 25\%$, it is really $\displaystyle 75\%$ of its original price.  The question is thus asking, "$\displaystyle 75\%$ of what is $\displaystyle \$18$?" This can be translated as:

$\displaystyle 0.75 * x = 18$

Solve for $\displaystyle x$ by dividing both sides of the equation by $\displaystyle 0.75$:

$\displaystyle \frac{0.75*x}{0.75} = \frac{18}{0.75}$

$\displaystyle x=24$

Therefore, it was originally $\displaystyle \$24$.

When an item is marked down $\displaystyle 60\%$, it is $\displaystyle 40\%$ of its original price.  The question could be rephrased as "$\displaystyle 40\%$ of what is $\displaystyle \$25$?"  This could be rewritten as an equation rather simply:

$\displaystyle 0.40 * x = 25$

Solve for x by dividing both sides by 0.40:

$\displaystyle x = \frac{25}{0.40} = 62.5$.

The first step is to find 20% of $170. This can be done easily by multiplying 170 by 0.2, yielding $34. We subtract 34 from 170 to get the initial sale price, $136. Next, we have to take 25% of that already discounted figure, and we do this by multiplying 136 by 0.25. Again, we happen to get $34, and after we subtract that number from 136 we get our final price, $102. The other answer choices are either the result of forgetting a step or of simple calculation errors.

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

$\displaystyle 0.12* \$756.00 = \$90.72$

This is the amount he can spend after sales tax.

Let $\displaystyle x$ be the price of the groceries before the sales tax is figured in. 

The sales tax paid is 6.125% of $\displaystyle x$, or $\displaystyle 0.06125x$, so the amount paid for the groceries is $\displaystyle x+ 0.06125x= 1.06125x$.

Since Mr. Jones is limited to spending $90.72, this means that $\displaystyle 1.06125x \leq 90.72$. We can solve the inequality for $\displaystyle x$.

$\displaystyle x \leq \$90.72 \div1.06125$

$\displaystyle x\leq \$85.48$

The maximum amount Mr. Jones can spend before tax is $85.48.