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

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Director
Joined: 18 Feb 2019
Posts: 580
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Mr. William bought shares of two companies, Max and Duke. The amount  [#permalink]

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04 Mar 2019, 11:46
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

57% (02:42) correct 43% (02:44) wrong based on 23 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
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1026
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Mr. William bought shares of two companies, Max and Duke. The amount  [#permalink]

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04 Mar 2019, 12:01
2
$$A_{Max} = 3*A_{Duke}$$

$$P_{Max} = \frac{2}{3}*P_{Duke}$$

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

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

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Manager
Joined: 14 May 2018
Posts: 96
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 710 Q49 V38
GPA: 4
Re: Mr. William bought shares of two companies, Max and Duke. The amount  [#permalink]

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04 Mar 2019, 12:13
1
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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GMAT:710 (Q49,V38,IR8,AWA5)
Re: Mr. William bought shares of two companies, Max and Duke. The amount   [#permalink] 04 Mar 2019, 12:13
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