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Just before Christmas stereo x and stereo y both go on sale.

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Just before Christmas stereo x and stereo y both go on sale.

by BTGmoderatorDC » Thu Nov 14, 2019 8:52 pm
Just before Christmas stereo x and stereo y both go on sale. If for the sale, both stereos are discounted from their regular prices, is the Christmas sale price of stereo x lower than the Christmas sale price of stereo y?

(1) The sale price of stereo x is 15 percent less than its regular price; the sale price of stereo y is 20 percent less than the regular price.

(2) The sale price of stereo x is $150 less than its regular price; the sale price of stereo y is $200 less than its regular price.

OA C

Source: Princeton Review
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Source: — Data Sufficiency |
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by AAPL » Fri Nov 15, 2019 4:35 am
BTGmoderatorDC wrote:Just before Christmas stereo x and stereo y both go on sale. If for the sale, both stereos are discounted from their regular prices, is the Christmas sale price of stereo x lower than the Christmas sale price of stereo y?

(1) The sale price of stereo x is 15 percent less than its regular price; the sale price of stereo y is 20 percent less than the regular price.

(2) The sale price of stereo x is $150 less than its regular price; the sale price of stereo y is $200 less than its regular price.

OA C

Source: Princeton Review
To compare the discounted prices, we either need to know the original prices and the discount or need to be told the final values directly.
We'll look for the required information, a Logical approach.

1) but what are the regular prices? Not sufficient. \(\Large{\color{red}\chi}\)
2) but what are the regular prices? Not sufficient. \(\Large{\color{red}\chi}\)

Combined: we now know the discount and the regular price (because if 15% = $150 we can calculate 100%). Sufficient. \(\Large{\color{green}\checkmark}\)

Hence, __C__
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