a.
Answer
25%
Explanation
We know that original price of the jeans is $39.99 and the discount is $10, so we need to find what percentage of $39.99 is $10. To do it we can set up a proportion:
[tex]\frac{39.99---->100}{10---->x}[/tex]
Now we can express our proportion as a fraction and solve for [tex]x[/tex]:
[tex]\frac{39.99}{10}= \frac{100}{x}[/tex]
[tex]x=\frac{10*100}{39.99}[/tex]
[tex]x=25[/tex]
We can conclude that the percent of the discount to the nearest percent is 25%
b.
Answer
6.5%
Explanation
Since the sales taxes is applied to the subtotal, this time we need to find what percentage of 29.99 is 1.95. To do it, we are going to set up a proportion, just like before:
[tex]\frac{29.99---->100}{1.95---->x}[/tex]
Now we can express our proportion as a fraction and solve for [tex]x[/tex]:
[tex]\frac{29.99}{1.95}= \frac{100}{x}[/tex]
[tex]x=\frac{1.95*100}{29.99}[/tex]
[tex]x=6.5[/tex]
We can conclude that the percent of sales tax to the nearest tenth of a percent is 6.5%
c.
Answer
20%
Explanation
First, we need to find the cost of the Jeans; to do it, we are using the markup formula:
[tex]markup=(\frac{price-cost}{cost} )100[/tex]
We know that the price of the Jeans is $39.99 and the markup is 66%, so let's replace those values in our formula:
[tex]60=(\frac{39.99-cost}{cost} )100[/tex]
[tex]\frac{60}{100} =\frac{39.99-cost}{cost}[/tex]
[tex]0.6=\frac{39.99-cost}{cost}[/tex]
[tex]0.6cost=39.99-cost[/tex]
[tex]0.6cost+cost=39.99[/tex]
[tex]1.6cost=39.99[/tex]
[tex]cost=\frac{39.99}{1.6}[/tex]
[tex]cost=24.99[/tex]
Now that we have the cost now, we just need to use the markup formula again but this time using the price after discount ($29.99).
[tex]markup=(\frac{price-cost}{cost} )100[/tex]
[tex]markup=(\frac{29.99-24.99}{24.99} )100[/tex]
[tex]markup=(\frac{5}{24.99} )100[/tex]
[tex]markup=20[/tex]
We can conclude that the percentage of markup after the discount is 20%
