Last visit was: 24 Apr 2026, 02:48 It is currently 24 Apr 2026, 02:48
Home
Messages
Tests
Schools
Events
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
kevincan
User avatar
GMAT Instructor
Joined: 04 Jul 2006
Last visit: 23 Apr 2026
Posts: 1,612
Own Kudos:
2,054
Given Kudos: 160
GRE 1: Q170 V170
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
GRE 1: Q170 V170
Posts: 1,612
Kudos: 2,054
A bank transfers a sum of money to Mr. Cathrall, who spends 01 Oct 2006, 09:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

42% (04:38) correct 58% (02:32) wrong based on 19 sessions

History

Date
Time
Result
Not Attempted Yet
A bank transfers a sum of money to Mr. Cathrall, who spends $20,000 of the amount sent to him and transfers 75% of the the money remaining to Mrs. Carlyle, who spends $15,000 of the amount she receives it before transferring 2/3 of the money remaining to Mr. Leeds, who spends $5,000 and transfers 4/5 of the money remaining back to Mr. Cathrall. Assuming that the bank transfers were made at no cost, how much money did Mrs. Carlyle transfer to Mr. Leeds if Mr. Cathrall received $260,000 in all?

(A) $80,000
(B) $90,000
(C) $100,000
(D) $110,000
(E) none of the above



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
ShowHide Answer
Official Answer
A
User avatar
2times
User avatar
Joined: 25 Jul 2006
Last visit: 30 Sep 2006
Posts: 64
Own Kudos:
124
 [1]
Posts: 64
Kudos: 124
 [1]
A bank transfers a sum of money to Mr. Cathrall, who spends 01 Oct 2006, 09:43
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Person 1
Got =x
Spent =20
Gave = 3/4(x-20)

Person 2
Got =3/4(x-20)
Spent =15
Gave = 1/2(x-40)

Person 3
Got =1/2(x-40)
Spent =5
Gave = 2/5(x-50)

Total Person 1 got = x+ 2/5(x-50)
= 7/5x-20 = 260
=> x= 200
so 1/2(x-40) = 80
User avatar
yezz
User avatar
Retired Moderator
Joined: 05 Jul 2006
Last visit: 26 Apr 2022
Posts: 830
Own Kudos:
1,686
Given Kudos: 49
Posts: 830
Kudos: 1,686
A bank transfers a sum of money to Mr. Cathrall, who spends 01 Oct 2006, 11:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A bank transfers a sum of money to Mr. Cathrall, who spends $20,000 of the amount sent to him and transfers 75% of the the money remaining to Mrs. Carlyle, who spends $15,000 of the amount she receives it before transferring 2/3 of the money remaining to Mr. Leeds, who spends $5,000 and transfers 4/5 of the money remaining back to Mr. Cathrall. Assuming that the bank transfers were made at no cost, how much money did Mrs. Carlyle transfer to Mr. Leeds if Mr. Cathrall received $260,000 in all?

(A) $80,000 (B) $90,000 (C) $100,000 (D) $110,000 (E) none of the above

start amount = 260,000 - x where x is wut mr leeds transfered back to him at the last step



(240,000 - x) *3/4 = 180,000 - 3/4x(cathral to carlyle)

180,000 - 3/4x - 15000 = 165,000 - 3/4x ( carlyle )

(165,000 - 3/4x )*2/3 = 110,000 - 1/2x ( amount with leads)

(105,000 - 1/2x ) * 4/5= 84,000 - 2/5x
(84,000 - 2/5x = x = 60,000

110 -30 = 80,000 my answer is A
User avatar
bz9
User avatar
Joined: 12 Feb 2006
Last visit: 17 Jan 2010
Posts: 70
Own Kudos:
267
Posts: 70
Kudos: 267
A bank transfers a sum of money to Mr. Cathrall, who spends 02 Oct 2006, 00:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I'm getting E, but I have a question. The 260,000, is that the amount that Cathrall got from the bank or Leeds.

Maybe I'm reading this wrong, but either way I get E.
avatar
HongHu
avatar
Joined: 03 Jan 2005
Last visit: 25 Apr 2011
Posts: 962
Own Kudos:
798
Posts: 962
Kudos: 798
A bank transfers a sum of money to Mr. Cathrall, who spends 13 Oct 2006, 05:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Just want to make sure we all know that the x here should be what Mr Leed receives, not what the bank paid out.
User avatar
londonluddite
User avatar
Joined: 30 Aug 2006
Last visit: 28 Jan 2008
Posts: 221
Own Kudos:
295
Posts: 221
Kudos: 295
A bank transfers a sum of money to Mr. Cathrall, who spends 13 Oct 2006, 12:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
:shock: :shock: :shock:

got A, bear with me the equation is nasty :roll:

(0.8(2/3(0.75(x - 20) - 15) - 5) -5) + x = 260

simplifies to x = 200k

Mr C -> Mrs C:

3/4(x - 20) = 3/4(180) = 135

Mrs C -> Mr L:

2/3(135 - 15) = 80


EDIT: i took what he recieves to mean what he originally gets from the bank and what he gets back at the end.
avatar
AK47
avatar
Joined: 05 Oct 2006
Last visit: 08 Mar 2007
Posts: 157
Own Kudos:
52
Posts: 157
Kudos: 52
A bank transfers a sum of money to Mr. Cathrall, who spends 16 Oct 2006, 07:38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
choice d.
what's the oa???

((2600000-20000)*.75 - 15000)*2/3= 110,000


kevincan
A bank transfers a sum of money to Mr. Cathrall, who spends $20,000 of the amount sent to him and transfers 75% of the the money remaining to Mrs. Carlyle, who spends $15,000 of the amount she receives it before transferring 2/3 of the money remaining to Mr. Leeds, who spends $5,000 and transfers 4/5 of the money remaining back to Mr. Cathrall. Assuming that the bank transfers were made at no cost, how much money did Mrs. Carlyle transfer to Mr. Leeds if Mr. Cathrall received $260,000 in all?

(A) $80,000 (B) $90,000 (C) $100,000 (D) $110,000 (E) none of the above
Show more



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109802 posts