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by das.ashmita » Tue Oct 02, 2012 5:14 am
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

30%
35%
40%
45%
50%

OA: C
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by anuprajan5 » Tue Oct 02, 2012 6:30 am
This one put me in a doozy :)

Assume there are 100 items.

Items marked for sale - 30% = 30 items
Items not marked for sale - 70% = 70 items.

Regular prices - r
Sale prices - s

0.2r + 0.45s = 30
0.8r + 0.55s = 70

Solving r = 60 and s = 40

0.2r are the items that are supposed to be marked with regular prices. = 12
[spoiler]12/30 = 40%[/spoiler]

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by GMATGuruNY » Tue Oct 02, 2012 9:08 am
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