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The change in price of a pair of shoes marked down by 50%

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sandy
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The change in price of a pair of shoes marked down by 50% [#permalink] New post   26 Dec 2016, 16:34
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Quantity A
Quantity B
The change in price of a pair of shoes marked down by 50%
The change in price of a pair of boots marked down by 30%


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


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D
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sandy
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Re: The change in price of a pair of shoes marked down by 50% [#permalink] New post   26 Dec 2016, 16:52
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Explanation


Be careful: You’re not given the original price of either pair of shoes, and because you can’t assume they’re the same price, try Plugging In a variety of values. If the shoes in both quantities originally cost 10 dollars, then the change in price of the shoes in Quantity A is 5 dollars, and the change in price of the shoes in Quantity B is 3 dollars; Quantity A is greater, so eliminate choices (B) and (C). If the shoes in Quantity B originally cost 20 dollars, though, then the change in price is 6 dollars. Quantity B is now greater, so eliminate choice (A), and you’re left with choice (D), the correct answer.

Thus option D is correct.
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Re: The change in price of a pair of shoes marked down by 50% [#permalink] New post   27 Dec 2016, 09:49
sandy wrote:
Quantity A
Quantity B
The change in price of a pair of shoes marked down by 50%
The change in price of a pair of boots marked down by 30%




Since we aren't told the original prices of the shoes and boots, let's test some values...

Try: shoes cost $10, and boots cost $100
50% of $10 = $5. So, the price is reduced by $5
30% of $100 = $30. So, the price is reduced by $30
We get:
Quantity A: $5
Quantity B: $30
In this case, QUANTITY B is greater.

Next, try: shoes cost $100, and boots cost $10
50% of $100 = $50. So, the price is reduced by $50
30% of $10 = $3. So, the price is reduced by $3
We get:
Quantity A: $50
Quantity B: $3
In this case, QUANTITY A is greater.

Answer: D
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Re: The change in price of a pair of shoes marked down by 50% [#permalink] New post   30 Oct 2023, 19:09
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Re: The change in price of a pair of shoes marked down by 50% [#permalink]
30 Oct 2023, 19:09
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