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The original price of a suit was 30 percent less than the su

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The original price of a suit was 30 percent less than the su [#permalink] New post 07 Mar 2018, 14:31
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The original price of a suit was 30 percent less than the suit’s $250 suggested retail price. The price at which the suit was sold was 20 percent less than the original price.

Quantity A
Quantity B
The price at which the suit was sold
50% of the suit’s suggested retail price


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

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[Reveal] Spoiler: OA

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Re: The original price of a suit was 30 percent less than the su [#permalink] New post 07 Mar 2018, 19:57
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For Quantity A, the original price is equal to 30% less than $250, which means 70% of $250, which translates as .7x$250. The selling price was 20% below that, which means 80% of that, which translates as .8x.7x$250.

For Quantity B, 50% of the $250 translates as .5x$250.

So we have an inequality:

.8x.7x$250 vs. .5x$250

We can divide out the $250 and ignore it, leaving us with .8x.7 vs. .5. Since .8x.7 equals .56, A must be bigger.
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Re: The original price of a suit was 30 percent less than the su [#permalink] New post 07 Mar 2018, 20:19
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correct: A
The original price of a suit was 30 percent less than the suit’s $250 suggested retail price:
original+price = retail - retail *30% . while retail is $250 so
original+price = 0.7 * retail = 0.7 * $250 = $175

The price at which the suit was sold was 20 percent less than the original price.
sold_price = original_price - 0.2 * original_price = 0.8 * original_price = 0.8 * $175 = $140

A: The price at which the suit was sold: $140
B: 50% of the suit’s suggested retail price: 0.5* retail = 0.5 * $250 = $125
so A is bigger than B and the answer is A

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Re: The original price of a suit was 30 percent less than the su [#permalink] New post 12 Mar 2018, 01:39
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Re: The original price of a suit was 30 percent less than the su   [#permalink] 12 Mar 2018, 01:39
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