GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 30 May 2020, 11:30

### 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

# Four brothers split a sum of money between them. The first brother rec

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64246
Four brothers split a sum of money between them. The first brother rec  [#permalink]

### Show Tags

13 Mar 2020, 03:53
00:00

Difficulty:

25% (medium)

Question Stats:

88% (01:20) correct 12% (01:20) wrong based on 41 sessions

### HideShow timer Statistics

Four brothers split a sum of money between them. The first brother received 50% of the total, the second received 25% of the total, the third received 20% of the total, and the fourth received the remaining \$4. The first brother received how much more money than the third brother received?

(A) \$4
(B) \$16
(C) \$20
(D) \$24
(E) \$36

_________________
Intern
Joined: 20 Mar 2019
Posts: 23
Four brothers split a sum of money between them. The first brother rec  [#permalink]

### Show Tags

13 Mar 2020, 08:36
GIVEN DATA

1st bro 50%
2nd bro 25%
3rd bro 20%

4th bro gets the remaining money, which are \$4.

Money(1st bro)-money(3rd bro)=?

SOLUTION

4th bro gets the remaining= 100%-50%-25%-20%=5%, which is equivalent to \$4 (given)

So
- 1st bro gets \$4*10=\$40
- 3rd bro gets \$4*4=\$16

Money(1st bro)-money(3rd bro)=40-16=24

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4992
Location: India
GPA: 3.5
Re: Four brothers split a sum of money between them. The first brother rec  [#permalink]

### Show Tags

13 Mar 2020, 08:52
Bunuel wrote:
Four brothers split a sum of money between them. The first brother received 50% of the total, the second received 25% of the total, the third received 20% of the total, and the fourth received the remaining \$4. The first brother received how much more money than the third brother received?

(A) \$4
(B) \$16
(C) \$20
(D) \$24
(E) \$36

% of money received by the 4 th son is 100 - ( 50 + 25 + 20 ) = 5%

Now, 5% represents \$ 4

So, first brother received ( 50 - 20 = 30%) more money than the third brother received

Thus, Answer must be 4*6 = \$24 , Answer must be (D)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 6287
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Four brothers split a sum of money between them. The first brother rec  [#permalink]

### Show Tags

15 Mar 2020, 02:38
Bunuel wrote:
Four brothers split a sum of money between them. The first brother received 50% of the total, the second received 25% of the total, the third received 20% of the total, and the fourth received the remaining \$4. The first brother received how much more money than the third brother received?

(A) \$4
(B) \$16
(C) \$20
(D) \$24
(E) \$36

from given info
x/2+x/4+x/5+4 = x
solve for x = 80
40-16 ; 24 \$
IMO D
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10593
Location: United States (CA)
Re: Four brothers split a sum of money between them. The first brother rec  [#permalink]

### Show Tags

03 May 2020, 04:37
Bunuel wrote:
Four brothers split a sum of money between them. The first brother received 50% of the total, the second received 25% of the total, the third received 20% of the total, and the fourth received the remaining \$4. The first brother received how much more money than the third brother received?

(A) \$4
(B) \$16
(C) \$20
(D) \$24
(E) \$36

We see that the fourth brother receives 5% of the total money. Since he received \$4 and the third brother received 20% or 4 times his percent share, the third brother received 4 times as much money also, or \$16. Similarly, the first brother received 50%, or 10 times, the fourth brother’s percent share, the first brother received 10 times as much money, or \$40. Therefore, the first brother received 40 - 16 = \$24 more than the third brother received.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
202 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: Four brothers split a sum of money between them. The first brother rec   [#permalink] 03 May 2020, 04:37