A store’s selling price of $2240 for a certain computer would yield a

Question

A store’s selling price of $2240 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 50 percent of the computer’s cost?

(A) $2400
(B) $2464
(C) $2650
(D) $2732
(E) $2800

(A) $2400
(B) $2464
(C) $2650
(D) $2732
(E) $2800

ulm · Accepted Answer

If we talk about profit, it is an extra-price, so the total is 140%.
2240 -- 140%
x -- 150%

x=2240*150/140=2400 
(A)

GSBae · Answer

I found the original buying price first because the math turned out to be easier.

2240 = X * 1.4 = X * (7/5). Therefore, X = 2240 * 5/7.

2240 is easily divided by 7 to be 320, which is then easily multiplied by 5 to give X = 1600. To get 50% profit, you need 1600 * 1.5 = 2400.

Answer: A

Sarang · Answer

1.4x = 2240
x=2240/1.4
so, 1.5X = 2240*1.5/1.4= 2400

Answer:- A

msk0657 · Answer

CP = SP ( 100/100 + P%) => 2240(100/140) = 1600.

SP = CP (100 + P% / 100) => 1600(150/100) = 2400.

Option A is correct answer.

stonecold · Answer

Nice Question.
Here CP=x=> x(1+40/100)=2240=> x=1600
now 50%x=> 800
profit 800
=> new SP = CP+P=2400
Smash A

MathNoob123 · Answer

let  c  be the cost of the computer

1.4c = 2240
 c = 1600

1.5c = 1600(1.5)
1.5c = 2400 (the price that would yield a 50% profit for the computer)

minimol89 · Answer

Hi all, 
How do you manage to make the calculation 2240*1.5/1.4= 2400 step by step?

ScottTargetTestPrep · Answer

Letting C = the store’s cost for the computer, we can create the equation:

2240 - C = 0.4C

2240 = 1.4C

1600 = C

So for a profit of 50%:

R - 1600 = 0.5 x 1600

R - 1600 = 800

R = 2400

Answer: A

sm1510 · Answer

Question seen in GMAT Prep

Bunuel · Answer

______________________
Added the tag. Thank you!

shwetank07 · Answer

SP = 2240 $
LET: THE CP = x

PROFIT% = SP-CP/CP * 100
40 = 2240-x/x * 100
on solving : x = 1600 = CP

NOW, 50 = SP-1600/1600 * 100
on solving : SP = 2400$ ... ans A

GmatKnightTutor · Answer

One potential way to do this is to note $2240, the sales price, is basically 1.4 times the cost of the computer. In algebra, let's say that is 1.4c

We're asked then in a sense to figure out what 1.5c would be.

Let's first increase 1.4c and its equivalent dollar amount by 10%

1.40c + 0.14c = $2240 + $224
1.54c = $2464

Because we're looking for 1.5c, the answer has to be a bit lower than this dollar value.

The only one that could possibly work is (A)

bumpbot · Answer

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A store’s selling price of $2240 for a certain computer would yield a

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