It is currently 18 Nov 2017, 07:11

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M17 Q 17

Author Message
Manager
Joined: 13 May 2010
Posts: 122

Kudos [?]: 24 [0], given: 4

### Show Tags

22 Jun 2012, 05:31
5
This post was
BOOKMARKED
Metropolis Corporation has 4 shareholders: Fritz, Luis, Alfred and Werner. Number of shares that Fritz owns is $$\frac{2}{3}$$ of number of the shares of the other three shareholders, number of the shares that Luis owns is $$\frac{3}{7}$$ of number of the shares of the other three shareholders and number of the shares that Alfred owns is $$\frac{4}{11}$$ of number of the shares of the other three shareholders. If dividends of $3,600,000 were distributed among the 4 shareholders, how much of this amount did Werner receive?$90,000
$100,000$120,000
$180,000$240,000

Fritz owns $$\frac{2}{3}$$ of the shares of the other three shareholders $$\right$$ Fritz owns $$\frac{2}{2+3}=\frac{2}{5}$$ of all shares;

Luis owns $$\frac{3}{7}$$ of the shares of the other three shareholders $$\right$$ Luis owns $$\frac{3}{3+7}=\frac{3}{10}$$ of all shares;

Alfred owns $$\frac{4}{11}$$ of the shares of the other three shareholders $$\right$$ Alfred owns $$\frac{4}{4+11}=\frac{4}{15}$$ of all shares;

Together these three own $$\frac{2}{5}+\frac{3}{10}+\frac{4}{15}=\frac{29}{30}$$ of all shares, which means that Werner owns $$1-\frac{29}{30}=\frac{1}{30}$$ . Hence from $3,600,000 Werner gets $$3,600,000*\frac{1}{30}=120,000$$ . I can't understand how did they come up with the logic that Fritz owns 2/5 of all shares with the given information. Similarly the same for other guys. Kudos [?]: 24 [0], given: 4 Math Expert Joined: 02 Sep 2009 Posts: 42249 Kudos [?]: 132580 [1], given: 12326 Re: M17 Q 17 [#permalink] ### Show Tags 22 Jun 2012, 05:34 1 This post received KUDOS Expert's post 1 This post was BOOKMARKED teal wrote: Metropolis Corporation has 4 shareholders: Fritz, Luis, Alfred and Werner. Number of shares that Fritz owns is $$\frac{2}{3}$$ of number of the shares of the other three shareholders, number of the shares that Luis owns is $$\frac{3}{7}$$ of number of the shares of the other three shareholders and number of the shares that Alfred owns is $$\frac{4}{11}$$ of number of the shares of the other three shareholders. If dividends of$3,600,000 were distributed among the 4 shareholders, how much of this amount did Werner receive?

$90,000$100,000
$120,000$180,000
$240,000 Fritz owns $$\frac{2}{3}$$ of the shares of the other three shareholders $$\right$$ Fritz owns $$\frac{2}{2+3}=\frac{2}{5}$$ of all shares; Luis owns $$\frac{3}{7}$$ of the shares of the other three shareholders $$\right$$ Luis owns $$\frac{3}{3+7}=\frac{3}{10}$$ of all shares; Alfred owns $$\frac{4}{11}$$ of the shares of the other three shareholders $$\right$$ Alfred owns $$\frac{4}{4+11}=\frac{4}{15}$$ of all shares; Together these three own $$\frac{2}{5}+\frac{3}{10}+\frac{4}{15}=\frac{29}{30}$$ of all shares, which means that Werner owns $$1-\frac{29}{30}=\frac{1}{30}$$ . Hence from$3,600,000 Werner gets $$3,600,000*\frac{1}{30}=120,000$$ .

I can't understand how did they come up with the logic that Fritz owns 2/5 of all shares with the given information. Similarly the same for other guys.

It's quite simple: A has $2 and B has 3$ --> A has 2/3rd of B's amount and also 2/(2+3)=2/5th of total amount of $5. Hope it's clear. _________________ Kudos [?]: 132580 [1], given: 12326 Director Status: Verbal Forum Moderator Joined: 17 Apr 2013 Posts: 602 Kudos [?]: 637 [0], given: 298 Location: India GMAT 1: 710 Q50 V36 GMAT 2: 750 Q51 V41 GMAT 3: 790 Q51 V49 GPA: 3.3 Re: M17 Q 17 [#permalink] ### Show Tags 07 Jul 2014, 17:14 Bunuel wrote: teal wrote: Metropolis Corporation has 4 shareholders: Fritz, Luis, Alfred and Werner. Number of shares that Fritz owns is $$\frac{2}{3}$$ of number of the shares of the other three shareholders, number of the shares that Luis owns is $$\frac{3}{7}$$ of number of the shares of the other three shareholders and number of the shares that Alfred owns is $$\frac{4}{11}$$ of number of the shares of the other three shareholders. If dividends of$3,600,000 were distributed among the 4 shareholders, how much of this amount did Werner receive?

$90,000$100,000
$120,000$180,000
$240,000 Fritz owns $$\frac{2}{3}$$ of the shares of the other three shareholders $$\right$$ Fritz owns $$\frac{2}{2+3}=\frac{2}{5}$$ of all shares; Luis owns $$\frac{3}{7}$$ of the shares of the other three shareholders $$\right$$ Luis owns $$\frac{3}{3+7}=\frac{3}{10}$$ of all shares; Alfred owns $$\frac{4}{11}$$ of the shares of the other three shareholders $$\right$$ Alfred owns $$\frac{4}{4+11}=\frac{4}{15}$$ of all shares; Together these three own $$\frac{2}{5}+\frac{3}{10}+\frac{4}{15}=\frac{29}{30}$$ of all shares, which means that Werner owns $$1-\frac{29}{30}=\frac{1}{30}$$ . Hence from$3,600,000 Werner gets $$3,600,000*\frac{1}{30}=120,000$$ .

I can't understand how did they come up with the logic that Fritz owns 2/5 of all shares with the given information. Similarly the same for other guys.

It's quite simple: A has $2 and B has 3$ --> A has 2/3rd of B's amount and also 2/(2+3)=2/5th of total amount of \$5.

Hope it's clear.

Bunuel is their any theory for this law of fractions discussed somewhere?
_________________

Like my post Send me a Kudos It is a Good manner.
My Debrief: http://gmatclub.com/forum/how-to-score-750-and-750-i-moved-from-710-to-189016.html

Kudos [?]: 637 [0], given: 298

Re: M17 Q 17   [#permalink] 07 Jul 2014, 17:14
Display posts from previous: Sort by

# M17 Q 17

Moderator: Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.