Question

Jamie is a salesperson in a shoe store and earns $95 per week, plus 20% of her weekly sales. If Jamie makes $475 in one week, what are her sales for that week?

$1,425
$1,900
$2,375
$2,850

In 2000, the number of students enrolled at Arlington Country Day School was 823 students. In 2010, the population was approximately 705 students. Find the percent of change in the enrolled students at Arlington Country Day School from 2000 to 2010 and identify it as an increase or decrease.
14.3%; increase
14.3%; decrease
16.7%; increase
16.7%; decrease

The owner of an electronics store received a shipment of MP3 players at a cost of $64.25 each. If he sells the MP3 players for $99.99 each, what is the percent of markup? Round to the nearest whole percent.
6%
36%
56%
62%

Answer 1

1. $1,900
2. 16.7% decrease
3. 56%

Answer 2

Question 1: $1900

Question 2: 14.3% Decrease

Question 3: 56%

Explanation:

Question 1:

We can translate the information given in a 1 line equation (letting total number of sales to be
`s`).

`95+(0.2)(s)=475\\95+0.2s=475\\0.2s=475-95\\0.2s=380\\s=(380)/(0.2)=1900`

So, Jamie's sales for the week is $1900, second answer choice.

Question 2:

• In 2000, there were 823 students
• in 2010, there were 705 students

Definitely it is a decrease.

We find percentage change using the formula:

Percentage change =
`(After-Before)/(Before)`

So we have:

Per centage change =
`(705-823)/(823)\\=(118)/(823)\\=0.143*100=14.3`

So, it is a 14.3% decrease, second answer choice.

Question 3:

Markup is the excess amount he sells over the cost price. So,

Markup =
`99.99-64.25=35.74`

How much is this markup with respect to the original cost price? It is simply markup divided by cost (multiplied by 100 to get percent). So we have:

`(35.74)/(64.25)=0.556*100=55.6`

Rounded to the nearest percent, it is 56%, third answer choice.