All GRE Math Resources
Example Questions
Example Question #11 : How To Find The Sale Price
Jenny is at a store and would like to buy a shirt. The shirt is labelled off, and the store is having a store-wide sale where everything is
off. What percent of the original price does Jenny have to pay?
Based on the shirts label, Jenny should pay of the full price. With the store's discount, she will pay
of this. Thus, she will pay
of the full price. This is equivalent to
.
Example Question #11 : Sale Prices
A car dealer purchased a used truck, marked it up to make a 30% profit, then sold it at a 30% discount from the sticker price.
Quantity A: The amount that the dealer paid for the truck
Quantity B: The amount for which the dealer sold the truck
Quantity A is greater
The relationship cannot be determined from the information given
The two quantities are equal
Quantity B is greater
Quantity A is greater
Since no price is given, you can pick $100 as the starting point for the value of the truck. $100 marked up 30% is $130, and the 30% discount brings it to $91.
Example Question #81 : Percentage
A retail chain wishes to make at least a profit on a new item. If it can only sell its items for integer values, what is the lowest price it can sell the item for if it costs the chain
to purchase it?
None of the answers are correct.
Let's begin by finding the absolute amount necessary for a 27% profit. Following that, we will adjust for the needs of having a whole number price. If the sale price is S, we can set up the following equation:
(S – 23)/23 = 0.27
S – 23 = 6.21
S = 29.21
The product must, however, be sold for at least $30 because it has to be an integer value.
Example Question #82 : Percentage
A car dealer sold two trucks for each, resulting in a
profit on one truck and a
loss on the other.
Quantity A: The dealer's net gain
Quantity B: The dealer's net loss
Quantity B is greater.
Quantity A is greater.
The relationship cannot be determined from the information given.
The two quantities are equal.
Quantity B is greater.
For the profitable truck, the dealer bought it for , where
. Therefore,
.
For the unprofitable truck, the dealer bought it for , where
. Therefore,
.
Thus, the dealer's net profit is $8,000, and the dealer's net loss is $10,000.
His loss is greater than his profit, so Quantity B is larger.
Example Question #12 : Sale Prices
The price of a laptop is reduced by . During a markdown sale, the price is reduced by another
. What is the total percentage discount?
Cannot be determined
To solve this problem, imagine that the original price of the laptop is $100. After the first 20% discount, the price of the laptop becomes $80. With the additional 10% reduction, we discount from $80, not $100. 10% of 80 is 8 so we must deduct $8 from $80. This gives $72 as the final price of the laptop after both reductions. Since we started at $100, the total discount is 28%.
All GRE Math Resources
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