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

Question

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.

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Official Answer

E

Abhishiek · Answer

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.

E.

Luckisnoexcuse · Answer

(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

gmathero911 · Answer

Bunuel Any other similar DS questions to this one?

nisen20 · Answer

profit = selling price - cost price

it's impossible to determine the difference between profits, if selling prices are only available factor.

sayan640 · Answer

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.

Solution :-

Brand D purchased for = X $
Brand C purchased for = X$

Using statement 1,
Brand D sold for = y $
Brand C sold for = 1.15y $
The store's gross profit on the Brand C computer :- 1.15Y - x 
The store's gross profit on the Brand D computer = y - x

Let , the store's gross profit on the Brand C computer was  ' P'  percent greater than its gross profit on the Brand D computer,
P= .15y / (y-x)   * 100

No info about y -x ; hence insufficient.

Using statement 2,
No info about Brand C , hence insufficient.

Together,

P = .15y / 300  * 100
Still we dont know about y and hence insufficient.

E is the answer.
 chetan2u   GMATinsight   KarishmaB

KarishmaB · Answer

Cost price is same but selling price could be different.

We need  \frac{ProfitC - ProfitD}{ProfitD} * 100

So we need the value of ProfitC/ProfitD to get this.

(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.

SellingP of C is 15% more than SellingP of D. 
This says that  \frac{SellingC}{SellingD} = \frac{115}{100}

\frac{Cost + ProfitC}{Cost + ProfitD} = \frac{115}{100}

We cannot get ratio of profits from this.

(2) The store's gross profit on the Brand D computer was $300.

We know ProfitD now but not profitC. Not sufficient alone.

Using both,
 
  \frac{Cost + ProfitC}{Cost + 300} = \frac{115}{100}

We still can't find ProfitC.

Answer (E)

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

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