Percentage - PSAT Math
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The price of a purse is reduced by 20%. It is then put on final sale with an additional 30% off. What is the total discount on the purse?
The price of a purse is reduced by 20%. It is then put on final sale with an additional 30% off. What is the total discount on the purse?
Let us assume that the original purse is \$100. The price after the first reduction is \$80. After the second reduction the price is now \$56. The difference between 100 and 56 is 44, giving 44% off.
Let us assume that the original purse is \$100. The price after the first reduction is \$80. After the second reduction the price is now \$56. The difference between 100 and 56 is 44, giving 44% off.
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Julie goes shopping at Gap. There is a storewide sale of 30% off. She buys a sweater on clearance that gets an additional 50% off. If the sweater was originally \$50, how much did she pay?
Julie goes shopping at Gap. There is a storewide sale of 30% off. She buys a sweater on clearance that gets an additional 50% off. If the sweater was originally \$50, how much did she pay?
The original price was \$50. First you take 30% off (50 * (100 - 30)/100 = \$35). Then you take an additional 50% off the new price (35 * 50/100 = 17.50)
The original price was \$50. First you take 30% off (50 * (100 - 30)/100 = \$35). Then you take an additional 50% off the new price (35 * 50/100 = 17.50)
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The Widget Company has annual revenues of \$150,000. Their expenses over the same time frame was \$75,000. What was the percent profit?
The Widget Company has annual revenues of \$150,000. Their expenses over the same time frame was \$75,000. What was the percent profit?
Profit = Revenue – Expense
% Profit = $ Profit ÷ $ Total Revenue
% Profit = (\$150,000 – \$75,000) ÷ \$150,000 = 50%
Profit = Revenue – Expense
% Profit = $ Profit ÷ $ Total Revenue
% Profit = (\$150,000 – \$75,000) ÷ \$150,000 = 50%
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Nicki sold 20 albums at \$5 each. How many albums should Minaj sell at \$4.50 to earn more than Nicki?
Nicki sold 20 albums at \$5 each. How many albums should Minaj sell at \$4.50 to earn more than Nicki?
The answer is 23. 23*$4.50 = $103.50, which is more than what Nicki earned.
The answer is 23. 23*$4.50 = $103.50, which is more than what Nicki earned.
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During Laura and Anna’s bake sale, 35 brownies, 12 cupcakes and 23 glasses of lemonade were sold. These goods cost \$44 for the raw ingredients, and they sold for \$79. What is the average profit per item?
During Laura and Anna’s bake sale, 35 brownies, 12 cupcakes and 23 glasses of lemonade were sold. These goods cost \$44 for the raw ingredients, and they sold for \$79. What is the average profit per item?
Total profit (\$35) divided by total items (70) yields the answer of \$0.50 profit per item.
Total profit (\$35) divided by total items (70) yields the answer of \$0.50 profit per item.
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The cost of manufacturing a single teddy bear is \$6.25. A teddy bear company sells 200 bears for \$1750. What is the profit percentage per single bear?
The cost of manufacturing a single teddy bear is \$6.25. A teddy bear company sells 200 bears for \$1750. What is the profit percentage per single bear?
First we must find out what the price is for one teddy bear, manufactured by this company. Thus we divide 1750 by 200 and find that each bear costs \$8.75. To find out the profit per bear, we divide 8.75 by 6.25 to arrive at 1.4. The bears are thus sold for 140% of what it costs to make them, giving a 40% profit.
First we must find out what the price is for one teddy bear, manufactured by this company. Thus we divide 1750 by 200 and find that each bear costs \$8.75. To find out the profit per bear, we divide 8.75 by 6.25 to arrive at 1.4. The bears are thus sold for 140% of what it costs to make them, giving a 40% profit.
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A stove is regularly priced for \$300. What is the difference one would pay when buying it at a 20% discount rather than a 10% discount, with an additional 10% discount off the sale price?
A stove is regularly priced for \$300. What is the difference one would pay when buying it at a 20% discount rather than a 10% discount, with an additional 10% discount off the sale price?
Buying the stove at a 20% discount would be \$240. If one buys it at a sale of 10%, with another 10% off then the price would be \$243, so the difference is \$3
20% of 300 is 0.2 * 300 = 60 → 300 – 60 = 240
10% of 300 is 0.1 * 300 = 30 → 300 – 30 = 270
10% of 270 is 0.1 * 270 = 27 → 270 – 27 = 243
243 – 240 = 3
Buying the stove at a 20% discount would be \$240. If one buys it at a sale of 10%, with another 10% off then the price would be \$243, so the difference is \$3
20% of 300 is 0.2 * 300 = 60 → 300 – 60 = 240
10% of 300 is 0.1 * 300 = 30 → 300 – 30 = 270
10% of 270 is 0.1 * 270 = 27 → 270 – 27 = 243
243 – 240 = 3
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Mark sells his car to Mike for 95% of the amount he originally paid. Mike then discounts the car 20% and sells it to Max. Max paid \$300. How much did Mark buy his car for (rounded to the nearest dollar)?
Mark sells his car to Mike for 95% of the amount he originally paid. Mike then discounts the car 20% and sells it to Max. Max paid \$300. How much did Mark buy his car for (rounded to the nearest dollar)?
Apply your percentage knowledge. Starting value times percentage equals end value. $300/(1 – 0.2) = $375. $375/0.95 = $395.
Apply your percentage knowledge. Starting value times percentage equals end value. $300/(1 – 0.2) = $375. $375/0.95 = $395.
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The costs for Lizzie’s party are as follows: \$6000 to cater, \$1200 for the DJ, \$2000 for decorating, and \$2200 for the venue rental. Lizze can choose to apply a discount of 10% for the caterer and decorating but is then charged an additional 30% for the DJ and venue. What is the minimum price she will pay?
The costs for Lizzie’s party are as follows: \$6000 to cater, \$1200 for the DJ, \$2000 for decorating, and \$2200 for the venue rental. Lizze can choose to apply a discount of 10% for the caterer and decorating but is then charged an additional 30% for the DJ and venue. What is the minimum price she will pay?
The discounts are not worth the extra cost. The answer is \$11,400.
The discounts are not worth the extra cost. The answer is \$11,400.
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Mr. Glatfelter trains hunting dogs for a price of \$4000 per dog. If it costs him \$15,000 per month to keep his business open and each dog costs \$1000 to train, how many dogs per month must he train to make a profit?
Mr. Glatfelter trains hunting dogs for a price of \$4000 per dog. If it costs him \$15,000 per month to keep his business open and each dog costs \$1000 to train, how many dogs per month must he train to make a profit?
The answer is 6. 6 hunting dogs gives him a net profit of \$3000. If you picked 5, that’s where Glatfelter breaks even (he doesn’t make a profit or a loss).
The answer is 6. 6 hunting dogs gives him a net profit of \$3000. If you picked 5, that’s where Glatfelter breaks even (he doesn’t make a profit or a loss).
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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?
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%
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?
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?
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?
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
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?
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?
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
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?
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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