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

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Concentration: Entrepreneurship, Economics
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An automobile dealer bought two cars. He sold the first one for 40%  [#permalink]

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New post 08 Jan 2018, 10:18
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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


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Source: Kangaroo Olympiad

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

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New post 08 Jan 2018, 10:30
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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


Kudos, pleaseeee :angel: :angel: :angel: :angel:

Source: Kangaroo Olympiad


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 \(\frac{x}{y}=\frac{0.06}{0.14}=\frac{3}{7}\)

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Re: An automobile dealer bought two cars. He sold the first one for 40%  [#permalink]

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New post 08 Jan 2018, 10:36
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


Kudos, pleaseeee :angel: :angel: :angel: :angel:

Source: Kangaroo Olympiad


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Re: An automobile dealer bought two cars. He sold the first one for 40% &nbs [#permalink] 08 Jan 2018, 10:36
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