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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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Difficulty:

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Question Stats:

76% (01:00) correct 24% (01:29) wrong based on 198 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
[Reveal] 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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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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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
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
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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
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)
Re: A store’s selling price of $2240 for a certain computer would yield a   [#permalink] 21 Dec 2017, 01:34
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