# HSPT Math : Arithmetic

## Example Questions

### Example Question #601 : Arithmetic

30% of  is equal to 40% of what number?

Explanation:

30% of  is equal to . Divide by 40%, or , to get

### Example Question #601 : Arithmetic

percent of 1,000 is equal to what percent of 5,000?

Explanation:

percent of 1,000 is equal to

This is

### Example Question #73 : Percentages

0.5 is what percent of 0.001 ?

Explanation:

To find what percent 0.5 is of 0.001, evaluate:

### Example Question #602 : Arithmetic

is 30% of  is 42% of .

is what percent of  ?

Explanation:

We can choose a specific value for ; the reasoning is independent of this value.

Assume . Then

and

To find out what percent  is of , calculate:

### Example Question #81 : Percentages

is 40% of , which is 60% of . What percent of  is  ?

Explanation:

This reasoning is independent of the value of , so choose  for simplicity's sake.

is 60% of , which is 60.  is 40% of this, or

.

To determine what percent  is of , calculate:

### Example Question #82 : Percentages

is four-fifths of , which is three-fifths of . By what percent must  be increased to get  ?

Explanation:

This reasoning is independent of the value of , so, for simplicity's sake, we will set .

is three-fifths of , so .

is four-fifths of , so .

To find out by what percent  must be increased to yield , we calculate:

### Example Question #83 : Percentages

20 is  % of what number?

Explanation:

Let  be the number in question. If 20 is  % of , then

### Example Question #84 : Percentages

Four students ran for student body president - Anya, Florida, Moesha, and Winston.

According to the rules, a candidate must win more than 50% of the vote in order to claim an outright victory; otherwise, a runoff must be held between the top two vote-getters. It is known that  Florida won 67 votes, Moesha won 91 votes, and Winston won 180 votes. It is also known that there will be a runoff. At the very least, what percent of the vote did Anya win? (Nearest whole percent)

Explanation:

Neither Florida nor Moesha won the most votes, so either Winston or Anya did. If there is going to be a runoff, then regardless of the outcome, the total of the votes won by Winston's opponents must at least equal the votes won by Winston. If we let stand for the number of votes Anya won, then

At the very least, Anya must have won 22 votes, which in this scenario would have been equal to:

This makes 6% the best choice.

### Example Question #603 : Arithmetic

If you get a 25% discount, what percentage of the original price will you have to pay?

Explanation:

The original price will represent 100% of the item price since that represents the whole for the problem.

If you get 25% off, you must take that away from the 100%.

so you will have to pay 75% of the original price.

### Example Question #11 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a product that costs  if the sale is  off the original price?