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A store purchased a Brand C computer for the same amount [#permalink]
26 Apr 2007, 05:53
0% (00:00) correct
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A store purchased a Brand C computer for the same amount that it paid for a Brand D computer and then sold them both at higher prices. The storeтАЩs gross profit on the Brand C computer was what percent greater than its gross profit on the Brand D computer?
(1) The price at which the store sold the Brand C computer was 15 percent greater than the price at which the store sold the Brand D computer.
(2) The storeтАЩs gross profit on the Brand D computer was $300.
Cost price of the computers are the same.
Implies that the SP of C = 1.15 SP of D
the equation is reduced to G.P of C- G.P of D/ G.P of D
= 1.15 x- CP -x+CP/ x- CP , where x= Selling price of D, 1.15x= SP of C, CP= cost price of computers ( CP of C= CP of D)
Equation is reduced to 0.15x/ x- CP * 100
GP of D = 300
doesnt not tell us anything about the SP , insufficuent data
Combing statement 1 &2
300= x- CP,
adding this to the previous reduced equation we get
( 0.15x/ x-x+300) *100= ).05 x
the value again depends on x.
The question asks Pc/Pd = (price C - cost)/(price D - cost)
cost C = cost D = cost
From S1: price C = 1.15 price D ; we don't know the 'cost' -> Insuff
From S2: Pd = 300 = price D - cost; when we plug this information into the formula Pc/Pd we still have 'cost' as a variable ---> Insuff
S1 and S2: the 'cost' is still unknown ---> Insuff