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

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A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 28 Oct 2010, 22:28
3
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A
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Difficulty:

  15% (low)

Question Stats:

80% (01:51) correct 20% (02:21) wrong based on 166 sessions

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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
Spoiler: OA

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Re: A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 29 Oct 2010, 02:38
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1
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)
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Re: A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 09 Nov 2010, 08:16
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1
1.4x = 2240
x=2240/1.4
so, 1.5X = 2240*1.5/1.4= 2400

Answer:- A
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Re: A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 02 Dec 2015, 12:29
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
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Re: A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 26 Jul 2016, 08:40
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NandishSS wrote:
A store's selling price of $2,240 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) $2,400
B) $2,464
C) $2,650
D) $2,732
E) $2,800


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

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

Option A is correct answer.
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Re: A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 29 Jul 2016, 12:09
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
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Re: A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 21 Dec 2017, 01:34
1
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)
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Re: A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 12 Feb 2019, 08:23
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Hi all,
How do you manage to make the calculation 2240*1.5/1.4= 2400 step by step?
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Re: A store’s selling price of $2240 for a certain computer would yield a  [#permalink]

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New post 13 Feb 2019, 19:47
monirjewel wrote:
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


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
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Re: A store’s selling price of $2240 for a certain computer would yield a   [#permalink] 13 Feb 2019, 19:47
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