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A store purchased a Brand C computer for the same amount that it paid

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A store purchased a Brand C computer for the same amount that it paid [#permalink]

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New post 07 Nov 2017, 23:45
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Question Stats:

35% (01:55) correct 65% (01:15) wrong based on 26 sessions

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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 store's 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 store's gross profit on the Brand D computer was $300.
[Reveal] Spoiler: OA

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Re: A store purchased a Brand C computer for the same amount that it paid [#permalink]

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New post 08 Nov 2017, 00:05
Cost price of Brand C and Brand D = c

1. If Selling Price of D = x , SP of C = 1.15x
Profit of C = 1.15x - c
Profit of D = x - c
Insufficient.

Alternatively, you can put numbers. If D was sold for $100, and C was sold for $115, the profit ratio would change if cost was $10 vs if cost was $50.

2. We don't know anything about C.
Insufficient.

Both.
c-x = 300
c = 300-x

Profit on C = 0.15x - 300
Profit on D = 300
Still can't solve it.

Alternatively, you can understand this as:
D: sold for $4000, and C sold for $4600 on a cost price of $3700 vs
D: sold for $400, and C sold for $460 on a cost price of $100.
Both would have very different profit ratio.

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Re: A store purchased a Brand C computer for the same amount that it paid [#permalink]

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New post 08 Nov 2017, 00:26
Bunuel wrote:
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 store's 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 store's gross profit on the Brand D computer was $300.



(1) let the CP of Brand C and Brand D be 90 ; SP of Brand D = 100 ; SP of Brand C = 115
25-10/10 = 150%

let the CP of Brand C and Brand D be 190 ; SP of Brand D = 200 ; SP of Brand C = 230
40-10/10 = 300%

not sufficient

(2) No info abt Brand C SP..not sufficient

on combining
let the CP of Brand C and Brand D be x; Profit from Brand D = 300 ; SP of Brand D = x+300
SP of brand C = 1.15(x+300); Profit from Brand C = 345+0.15x

No info abt CP of Brand C/D

not sufficient
E
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Re: A store purchased a Brand C computer for the same amount that it paid   [#permalink] 08 Nov 2017, 00:26
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A store purchased a Brand C computer for the same amount that it paid

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