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# An automobile dealer bought two cars. He sold the first one for 40%

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Intern
Joined: 19 Jun 2017
Posts: 33
Location: Armenia
Concentration: Entrepreneurship, Economics
GMAT 1: 760 Q51 V46
GPA: 4
An automobile dealer bought two cars. He sold the first one for 40% [#permalink]

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08 Jan 2018, 09:18
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100% (01:23) correct 0% (00:00) wrong based on 5 sessions

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An automobile dealer bought two cars. He sold the first one for 40% more than he paid for it and the second one for 60% more than he paid for it. The money he received for the two cars was 54% more than what he paid for both. The ratio of the prices the dealer paid for the first and the second car was:

(A) 10:13
(B) 20:27
(C) 3:7
(D) 7:12
(E) 2:3

[Reveal] Spoiler: OA
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 919
Location: India
GPA: 3.82
An automobile dealer bought two cars. He sold the first one for 40% [#permalink]

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08 Jan 2018, 09:30
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KUDOS
AniK97 wrote:
An automobile dealer bought two cars. He sold the first one for 40% more than he paid for it and the second one for 60% more than he paid for it. The money he received for the two cars was 54% more than what he paid for both. The ratio of the prices the dealer paid for the first and the second car was:

(A) 10:13
(B) 20:27
(C) 3:7
(D) 7:12
(E) 2:3

Let the price of first car be $$x$$ & that of the second car be $$y$$

Given: $$0.4x+0.6y=0.54(x+y)$$

$$=>0.14x=0.06y$$

therefore $$\frac{x}{y}=\frac{0.06}{0.14}=\frac{3}{7}$$

Option C
Math Expert
Joined: 02 Sep 2009
Posts: 43806
Re: An automobile dealer bought two cars. He sold the first one for 40% [#permalink]

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08 Jan 2018, 09:36
AniK97 wrote:
An automobile dealer bought two cars. He sold the first one for 40% more than he paid for it and the second one for 60% more than he paid for it. The money he received for the two cars was 54% more than what he paid for both. The ratio of the prices the dealer paid for the first and the second car was:

(A) 10:13
(B) 20:27
(C) 3:7
(D) 7:12
(E) 2:3

Please note that ONLY Questions from Reliable GMAT Sources are Allowed on the Forum! Please do NOT post questions from random math books and web sites. Thank you.
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Re: An automobile dealer bought two cars. He sold the first one for 40%   [#permalink] 08 Jan 2018, 09:36
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