Let  be Rob's salary.

Then, since Tim's salary is 10% less than Rob's salary, we can write Tim's salary as .

Since Peggy's salary is 20% less than Tim's salary, we can write Peggy's salary as .

Peggy's salary is 72% of Rob's salary as we can write:

Peggy salary/ Rob salary = 

Making the answer into a percent we get,

.

The number of accountants at the end of last year is:

The number of accountants at the end of this year is:

The approximate change in the number of accountants from the end of last year to the end of this year is:

There was a 43% decrease in the number of accountants over this period.

The number of students who did not vote is:

The percent of students who did not vote is therefore:

 of the students did not vote.

 is  of , so .

 is  of , so .

For  to be an integer,  must be a multiple of . Therefore, the smallest positive integer value of  is  itself;  is  of  is , and  is  of , or .

Add these to get

The correct response is thus "From 31 to 40 inclusive."

 is  of  and  of , so

 and .

Equivalently,  and 

 must be the least possible number divisible by both  and , so 

.

If  is  of , then .

Equivalently,

The percentage of women who have an income greater than  in the sample is simply the product of the percentage of women in the sample and the percentage of these women who earn more than .

The percentage of women who earn more than  in the sample is .

Or, we could assume there are  people in the sample. The number of women in the sample would then be . And the number of women who earn more than  in the sample would be .

The percentage of women who earn more than  in the sample is .

Let's verify this answer by taking another sample size, let's say there are  people in the sample.

The number of women who earn more than  in the sample would then be .

The percentage of women who earn more than  in the sample is .

We still get the same result because the number of people in the sample is not necessary to find that percentage since we are given the percentage of women in the sample and the percentage of these women in the sample who earn more than .

Assume there are  adults in the city.  of these adults are unemployed, which means the number of unemployed adults is  given there are  adults. Also,  of the adults in the city are unemployed women, so the number of unemployed adult women in the city is . We can then find the number of unemployed adult men in that city, which is .

At this point, we can calculate the percentage of unemployed adults in the city who are men: 

 of the unemployed adults in that city are men.

Currently,  of the employees have a college degree; that is  out of the  employees. Let  be the number of additional employees who have a college degree:

All of the additional employees to be hired should have a college degree in order to double the percentage of employees with a college degree.

To begin with, we want to think about his problem conceptually. If Dmitri received a discount, we know our final answer will be higher than what he paid. Eliminate any choices that are less than . 

Next, we want to calculate how much the bike cost Dmitri before sales tax. To do this, we want to have a basic equation in front of us to ensure we are setting this up correctly.

or

The cost is what Dmitri paid, and the price is the listed sale price of the bike. We get  from knowing that sales tax is  and that Dmitri paid  of the price, plus  for sales tax. Recall that to change from a percent to a decimal, we just move the decimal point two places to the left.

So, we can rearrange the equation to solve for the sale price of the bike before sales tax...

We can round that to the nearest hundredth to get 

So, the sale price of the bike was ; however, do not choose that as your answer, because we are not done yet! We still need to find the original price of the bike. To do that, another equation will be helpful.

or

This means that the sale price is  of the original price, which is the same as saying it is  off.

We know  from above, so simply rearrange the equation, plug in the problem's values, and solve to find our final answer:

Again, we can round to the nearest cent to get our final answer of .