Percentage - PSAT Math
Card 1 of 700
A dress was originally priced at $70. In January, it was put on sale for 20% off. Then in February, the sale price was lowered an additional $10 off of January's price. How much is the dress currently being sold for?
A dress was originally priced at $70. In January, it was put on sale for 20% off. Then in February, the sale price was lowered an additional $10 off of January's price. How much is the dress currently being sold for?
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The dress started at $70. In January, it was marked down 20%. $70 * 0.2 = $14, so it was being sold for $70 – $14 = $56. Then we're told its price is again lowered, this time by $10. Now the price is $56 – $10 = $46.
The dress started at $70. In January, it was marked down 20%. $70 * 0.2 = $14, so it was being sold for $70 – $14 = $56. Then we're told its price is again lowered, this time by $10. Now the price is $56 – $10 = $46.
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Write as a fraction: 22%
Write as a fraction: 22%
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22% = 22/100
Divide everything by 2:
22/100 = 11/50
11 is a prime number, so this is as reduced as this fraction can get.
22% = 22/100
Divide everything by 2:
22/100 = 11/50
11 is a prime number, so this is as reduced as this fraction can get.
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25% of 64 is equal to 5% of what number?
25% of 64 is equal to 5% of what number?
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25% of 64 is 16 (you can find this with a calculator by 0.25 * 64). Divide 16 by 0.05 (or 1/20) to get the value of the number 16 is 5% of. (Or mental math of 16 * 20)
25% of 64 is 16 (you can find this with a calculator by 0.25 * 64). Divide 16 by 0.05 (or 1/20) to get the value of the number 16 is 5% of. (Or mental math of 16 * 20)
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The pie chart illustrates how Carla allocates her money each week.
If she spends $200 on groceries each week, how much does she spend on rent?
The pie chart illustrates how Carla allocates her money each week.
If she spends $200 on groceries each week, how much does she spend on rent?
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1. 20% of Carla's whole budget is equal to $200. With this information, one can find Carla's weekly budget.
Set up the equation: 0.2b = 200 (b = budget).
b = 200/0.2 = 1000 = Carla's weekly budget
2. To find the amount Carla spends for rent, one needs to find what 35% of $1000 is.
0.35 x 1000 = 350
3. Because Carla spends 35% of her total budget on rent, she spends $350 on rent.
1. 20% of Carla's whole budget is equal to $200. With this information, one can find Carla's weekly budget.
Set up the equation: 0.2b = 200 (b = budget).
b = 200/0.2 = 1000 = Carla's weekly budget
2. To find the amount Carla spends for rent, one needs to find what 35% of $1000 is.
0.35 x 1000 = 350
3. Because Carla spends 35% of her total budget on rent, she spends $350 on rent.
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Three salesmen, Gor, Levon, and Raffi, competed to sell the highest number of cars in the month of August. A total of 250 cars were sold.
Gor sold 100 cars. Levon sold 62% of the remaining cars, and Raffi sold the rest.
How many cars did Raffi sell?
Three salesmen, Gor, Levon, and Raffi, competed to sell the highest number of cars in the month of August. A total of 250 cars were sold.
Gor sold 100 cars. Levon sold 62% of the remaining cars, and Raffi sold the rest.
How many cars did Raffi sell?
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We first subtract the 100 cars that Gor sold from the total of 250 sold. We are left with 150 cars, and we know that Levon sold 62% of them. 100% – 62% = 38%. Hence, Raffi sold 38% of 150 cars. 150 * 0.38 = 57
We first subtract the 100 cars that Gor sold from the total of 250 sold. We are left with 150 cars, and we know that Levon sold 62% of them. 100% – 62% = 38%. Hence, Raffi sold 38% of 150 cars. 150 * 0.38 = 57
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Find the simplified fraction for 
Find the simplified fraction for
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For any percent 
we can write it as a fraction in the form 
So we can write 
as 
Then we simplify
So our simplified answer is 
For any percent
So we can write
Then we simplify
So our simplified answer is
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You have 2 fair dice that each have 6 faces. On one roll, what's the probability that both dice land on an even number?
You have 2 fair dice that each have 6 faces. On one roll, what's the probability that both dice land on an even number?
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In order to find the probability of rolling two even numbers on 2 dice we need to find the probability of each dice having an even number on the roll and then multiply them together.
The probability of rolling an even number is
because 2, 4, and 6 are even numbers which goes in the numerator and there are 6 total numbers which goes in the denominator. After this we reduce the fraction and get one half. Then we need to muliply this by probability of the second dice having an even number.
In order to find the probability of rolling two even numbers on 2 dice we need to find the probability of each dice having an even number on the roll and then multiply them together.
The probability of rolling an even number is
because 2, 4, and 6 are even numbers which goes in the numerator and there are 6 total numbers which goes in the denominator. After this we reduce the fraction and get one half. Then we need to muliply this by probability of the second dice having an even number.
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What is 15% of a $16.73 bill?
What is 15% of a $16.73 bill?
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We can re write 15% as a fraction and then use proportions to solve.
From here we cross multiply and divide to solve for 
.
We can re write 15% as a fraction and then use proportions to solve.
From here we cross multiply and divide to solve for
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If a test has a total of 
questions and 
of the questions are multiple choice, how many questions are multiple choice?
If a test has a total of
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To solve this problem we set up a ratio. We want to find 
of 
. Therefore, we set up the following ratio:
In the case 
represents the number of questions that are multiple choice. From here we cross multiply and divide.
To solve this problem we set up a ratio. We want to find
In the case
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If there are 3 boys in a class and 7 girls. What percent of the class is made up of boys?
If there are 3 boys in a class and 7 girls. What percent of the class is made up of boys?
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To solve this problem we set up a ratio of part of total. The part is the number of boys in the class and the total is the number of boys and girls in the class.
now to find the percent we can multiply this fraction by 10/10
From here we can see that it is 30%
To solve this problem we set up a ratio of part of total. The part is the number of boys in the class and the total is the number of boys and girls in the class.
now to find the percent we can multiply this fraction by 10/10
From here we can see that it is 30%
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Marker Colors Students Blue 13 Pink 10 Orange 5 Brown 5 Green 7
The above chart shows the number of students in a class who chose each of the five marker colors available.
What percentage of the class chose a green marker?
| Marker Colors | Students |
|---|---|
| Blue | 13 |
| Pink | 10 |
| Orange | 5 |
| Brown | 5 |
| Green | 7 |
The above chart shows the number of students in a class who chose each of the five marker colors available.
What percentage of the class chose a green marker?
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To figure out what percentage of the class chose green markers, you must first figure out what fraction of the class chose green markers. Then, you must convert that fraction into a percentage.
Figure out the fraction:
7 students chose green markers
40 students total
Fraction of students who chose green: 
To convert this fraction to a percentage, you must multiply the fraction times 100, then divide the numerator by the denominator. You multiply the fraction times 100 because in order to figure out the percent, you must figure out what the fraction means "for (per) every hundred (cent)".
Multiply times 100
Therefore, the answer is 
.
To figure out what percentage of the class chose green markers, you must first figure out what fraction of the class chose green markers. Then, you must convert that fraction into a percentage.
Figure out the fraction:
7 students chose green markers
40 students total
Fraction of students who chose green:
To convert this fraction to a percentage, you must multiply the fraction times 100, then divide the numerator by the denominator. You multiply the fraction times 100 because in order to figure out the percent, you must figure out what the fraction means "for (per) every hundred (cent)".
Multiply times 100
Therefore, the answer is
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A store is having a sale. If you buy one widget for the regular price of $20, you can buy a second widget for 40% off the regular price. How much per widget does a customer save by buying two widgets during the sale instead of buying two widgets at the regular price?
A store is having a sale. If you buy one widget for the regular price of $20, you can buy a second widget for 40% off the regular price. How much per widget does a customer save by buying two widgets during the sale instead of buying two widgets at the regular price?
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Widget 1 costs $20.
Widget 2 is on sale for 40%($20) off, or $8 off, or $20 – $8 = $12.
Two widgets during the sale cost $20 + $12 = $32.
Two widgets at regular price cost $20 + $20 = $40.
The total amount saved during the sale is $40 – $32 = $8.
This is the savings for two widgets, so the savings for one widget is $8/2 = $4.
Widget 1 costs $20.
Widget 2 is on sale for 40%($20) off, or $8 off, or $20 – $8 = $12.
Two widgets during the sale cost $20 + $12 = $32.
Two widgets at regular price cost $20 + $20 = $40.
The total amount saved during the sale is $40 – $32 = $8.
This is the savings for two widgets, so the savings for one widget is $8/2 = $4.
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You really want to buy a car that costs $15,000 but you only have $5,000 saved. Rather than getting a bank loan, your parents offer to lend you the extra money but will require you to pay them back with 4.3% interest. How much will car cost in total after you have paid your parents back?
You really want to buy a car that costs $15,000 but you only have $5,000 saved. Rather than getting a bank loan, your parents offer to lend you the extra money but will require you to pay them back with 4.3% interest. How much will car cost in total after you have paid your parents back?
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Amount borrowed = $15,000 – $5,000 = $10,000
Interest of 4.3% = $10,000 * 0.043 = $430
Total cost of car = $5000 + $10000 + $430 = $15,430
Amount borrowed = $15,000 – $5,000 = $10,000
Interest of 4.3% = $10,000 * 0.043 = $430
Total cost of car = $5000 + $10000 + $430 = $15,430
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A $225 dress goes on sale for 75% off. It is then discounted again for 10% off. How much money was saved on by the final purchase?
A $225 dress goes on sale for 75% off. It is then discounted again for 10% off. How much money was saved on by the final purchase?
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The answer is $174.37.
The dress originally cost $225 but when it went on sale for 75% off we multiply the sale cost by 0.75. We see that through the sale we save $168.75 makeing the new cost of the dress $56.25.
Now we take the new cost of the dress ($56.25) and multiply that by 0.10 to represent the 10% discount. From this we see we save an additional $5.63 making the final cost of the dress $50.63.
The total savings on the dress sum up to $174.37.
The answer is $174.37.
The dress originally cost $225 but when it went on sale for 75% off we multiply the sale cost by 0.75. We see that through the sale we save $168.75 makeing the new cost of the dress $56.25.
Now we take the new cost of the dress ($56.25) and multiply that by 0.10 to represent the 10% discount. From this we see we save an additional $5.63 making the final cost of the dress $50.63.
The total savings on the dress sum up to $174.37.
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Dan took out a $1200 loan at a rate of 3% simple interest a year. What is the amount of interest accrued for one month?
Dan took out a $1200 loan at a rate of 3% simple interest a year. What is the amount of interest accrued for one month?
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$1200 is the amount that he took out.
3% annually would yield an interest amount of $36.
Therefore, each month, he would be paying $3 a month.
$1200 is the amount that he took out.
3% annually would yield an interest amount of $36.
Therefore, each month, he would be paying $3 a month.
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A craftsman builds a cabinet. He pays $250 to buy the wood and miscellaneous materials for the cabinet. He spends 20 hours building the cabinet. If he values his time at $40 per hour and expects a profit margin of 50% above labor and materials, how much should he charge for the cabinet?
A craftsman builds a cabinet. He pays $250 to buy the wood and miscellaneous materials for the cabinet. He spends 20 hours building the cabinet. If he values his time at $40 per hour and expects a profit margin of 50% above labor and materials, how much should he charge for the cabinet?
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Total Cost = Material Cost + Labor Cost + Profit
Labor Cost = $40/hour * 20 hours = $800
Profit Margin of 50% = Cost x 0.50 = $1050 x 0.50 = $525
Total Cost = $250 + $800 + $525 = $1575
Total Cost = Material Cost + Labor Cost + Profit
Labor Cost = $40/hour * 20 hours = $800
Profit Margin of 50% = Cost x 0.50 = $1050 x 0.50 = $525
Total Cost = $250 + $800 + $525 = $1575
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Each wooden chair that a carpenter makes requires $20 worth of supplies. He then sells the chairs for $50 each. The carpenter recently discovered a new supplier that would allow him to spend 25% less on supplies. If he doesn't change his selling price, by what percent could the carpenter increase his profit by using the new supplier?
Each wooden chair that a carpenter makes requires $20 worth of supplies. He then sells the chairs for $50 each. The carpenter recently discovered a new supplier that would allow him to spend 25% less on supplies. If he doesn't change his selling price, by what percent could the carpenter increase his profit by using the new supplier?
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Using $20 worth of supplies and selling the chairs for $50 each, the carpenter is originally making a profit of $30 per chair.
The new supplier would reduce costs by 25% or 1/4. One-fourth of $20 is $5, so the new supplier would be $5 less, or $15.
If the selling price is the same ($50), then the carpenter would now make a profit of $35 per chair, a change of $5.
To calculate percent increase, divide the actual change in profit by the original profit amount, and multiply the result by 100%:
(Actual Change ÷ Original Amount) * 100% = 5/30 * 100% = 500%/30 = 16.7%
Using $20 worth of supplies and selling the chairs for $50 each, the carpenter is originally making a profit of $30 per chair.
The new supplier would reduce costs by 25% or 1/4. One-fourth of $20 is $5, so the new supplier would be $5 less, or $15.
If the selling price is the same ($50), then the carpenter would now make a profit of $35 per chair, a change of $5.
To calculate percent increase, divide the actual change in profit by the original profit amount, and multiply the result by 100%:
(Actual Change ÷ Original Amount) * 100% = 5/30 * 100% = 500%/30 = 16.7%
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A sunglasses kiosk at the mall makes a $50 profit for every 6 pairs of sunglasses it sells. How many pairs of sunglasses must it sell to earn $1000 profit?
A sunglasses kiosk at the mall makes a $50 profit for every 6 pairs of sunglasses it sells. How many pairs of sunglasses must it sell to earn $1000 profit?
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Divide the profit per 6 pairs into the total desired profit $1000/$50 = 20.
Multiply 20 by 6 sunglasses = 120 sunglasses. Or use 6/50 = x/1000 and solve for x.
Divide the profit per 6 pairs into the total desired profit $1000/$50 = 20.
Multiply 20 by 6 sunglasses = 120 sunglasses. Or use 6/50 = x/1000 and solve for x.
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Ricky works at a shoe shop, and earns $40 in commission for each pair of shoes he sells plus a $100 weekly salary. If Ricky receives no other money, which of the following expressions represents the total dollar amount Ricky receives for a week in which he sells n shoes?
Ricky works at a shoe shop, and earns $40 in commission for each pair of shoes he sells plus a $100 weekly salary. If Ricky receives no other money, which of the following expressions represents the total dollar amount Ricky receives for a week in which he sells n shoes?
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If Ricky sells n shoes in a week, he earns $40_n_ in commission. His salary is a constant $100 per week, so his total payout is $100 + $40_n._
If Ricky sells n shoes in a week, he earns $40_n_ in commission. His salary is a constant $100 per week, so his total payout is $100 + $40_n._
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An entrepreneur started a company making floggles. The factory requires $1000 worth of fixed expenses to keep it running every month. She is able to produce one floggle at the cost of $4 and sell one floggle at the cost of $6. If she produces and sells 500 floggles in one month, what is her profit?
An entrepreneur started a company making floggles. The factory requires $1000 worth of fixed expenses to keep it running every month. She is able to produce one floggle at the cost of $4 and sell one floggle at the cost of $6. If she produces and sells 500 floggles in one month, what is her profit?
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Profit = Income - Expenditures
Income = $6/floggle times 500 floggles = $3000
Expenditures = $1000 + $4/floggle times 500 floggles = $1000 + $2000 = $3000
Profit = 3000 - 3000 = 0
Profit = Income - Expenditures
Income = $6/floggle times 500 floggles = $3000
Expenditures = $1000 + $4/floggle times 500 floggles = $1000 + $2000 = $3000
Profit = 3000 - 3000 = 0
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