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Mr. William bought shares of two companies, Max and Duke. The amount

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Joined: 18 Feb 2019
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Location: India
GMAT 1: 490 Q47 V13
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Mr. William bought shares of two companies, Max and Duke. The amount  [#permalink]

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New post 04 Mar 2019, 11:46
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60% (02:37) correct 40% (02:35) wrong based on 10 sessions

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Mr. William bought shares of two companies, Max and Duke. The amount invested on Max was 3 times the amount invested Duke but after 2 years the profit from Max was 2/3rd of the profit from Duke.If the profit from Duke was 1/4th of the investment made in Max, what is the overall profit percentage for Mr. William?

A. 6.25%
B. 12.5%
C. 31.25%
D. 40%
D. Cannot be determined
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Mr. William bought shares of two companies, Max and Duke. The amount  [#permalink]

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New post 04 Mar 2019, 12:01
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\(A_{Max} = 3*A_{Duke}\)

\(P_{Max} = \frac{2}{3}*P_{Duke}\)

\(P_{Duke} = \frac{1}{4}*A_{Max}\)

Let's take the amount invested on Max as 1200. (Since LCM(4,3) is 12)
Then the amount invested on Duke = 400.
Profit from Duke = 300
Profit from Max = 200
Total invested = 1200+400 = 1600
Profit = 500
Profit % = \(\frac{500}{1600}*100\) = 31.25

C is the answer.
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Re: Mr. William bought shares of two companies, Max and Duke. The amount  [#permalink]

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New post 04 Mar 2019, 12:13
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kiran120680 wrote:
Mr. William bought shares of two companies, Max and Duke. The amount invested on Max was 3 times the amount invested Duke but after 2 years the profit from Max was 2/3rd of the profit from Duke.If the profit from Duke was 1/4th of the investment made in Max, what is the overall profit percentage for Mr. William?

A. 6.25%
B. 12.5%
C. 31.25%
D. 40%
D. Cannot be determined


Let Duke=100
Max=300
Profit from max=2/3 profit from duke
Profit from duke=1/4(300)=75
profit from max=2/3(75)=50
==>Profit=125
Profit%=(125/400)*100=31.25%
Ans:C
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Re: Mr. William bought shares of two companies, Max and Duke. The amount   [#permalink] 04 Mar 2019, 12:13
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Mr. William bought shares of two companies, Max and Duke. The amount

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