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shibal: Master | Next Rank: 500 Posts; Posts: 345; Joined: Wed Mar 18, 2009 6:53 pm; Location: Sao Paulo-Brazil; Thanked: 12 times; GMAT Score:660

by shibal » Sat Jun 27, 2009 2:09 pm

During a one day sale, a store sold each sweater for $30 more than the cost of purchase. How many were sold during the sale?
a. Total revenue for sweaters is $270
b. Store sold each sweater for 50% more than the cost of purchase.

oa C

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Source: Beat The GMAT — Data Sufficiency | Sat Jun 27, 2009 2:09 pm

ssmiles08: Master | Next Rank: 500 Posts; Posts: 472; Joined: Sun Mar 29, 2009 6:54 pm; Thanked: 56 times

by ssmiles08 » Sat Jun 27, 2009 2:35 pm

1) insufficient. the question stem tells you the cost of each sweater = x

the selling price of each sweater = 30 + x

(# of sweaters sold)(x+30) = 270

2 unknowns.

2) Insufficient as well b/c it doesn't tell us how many sweaters were sold or the revenue.

together:

1.5x = x + 30

1/2x = 30

x = 60

now you x, so you know selling price (90)

so you can plug it back into the equation: (# of sweaters sold)(60+30) = 270 and find the # of sweaters.

(C)

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avigmat11: Newbie | Next Rank: 10 Posts; Posts: 5; Joined: Sun Jun 28, 2009 12:58 am

by avigmat11 » Sun Jun 28, 2009 1:28 am

Yes C..Using statement 1 and 2 two equations will be formed, and can be solved to get the number of sweaters

Thanks

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