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# Three friends Alice, Bond and Charlie divide \$1105 amongs them in such

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Math Expert
Joined: 02 Sep 2009
Posts: 52161
Three friends Alice, Bond and Charlie divide \$1105 amongs them in such  [#permalink]

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15 Mar 2016, 11:20
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Difficulty:

65% (hard)

Question Stats:

65% (02:42) correct 35% (02:45) wrong based on 121 sessions

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Three friends Alice, Bond and Charlie divide \$1105 amongs them in such a way that if \$10, \$20 and \$15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?

A. \$360
B. \$375
C. \$480
D. \$495
E. \$510

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Posts: 51
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Re: Three friends Alice, Bond and Charlie divide \$1105 amongs them in such  [#permalink]

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15 Mar 2016, 23:29
A+B+C = 1105
Given ratio 11:18:24
Let us say the shares of A,B,C deducting 10,20,15 be a,b,c
a+b+c = 1105-45= 1060 = 53K
c share = (1060X24)/53 = 480
C = charlie share = 480+15 = 495
Option D

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Intern
Joined: 08 Feb 2016
Posts: 1
Three friends Alice, Bond and Charlie divide \$1105 amongs them in such  [#permalink]

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16 Mar 2016, 10:00
(11x+10)+(18x+20)+(24x+15)=1105
53x=1060
x=20
24*20+15=495

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Joined: 27 May 2012
Posts: 665
Re: Three friends Alice, Bond and Charlie divide \$1105 amongs them in such  [#permalink]

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09 Jun 2018, 02:06
Bunuel wrote:
Three friends Alice, Bond and Charlie divide \$1105 amongs them in such a way that if \$10, \$20 and \$15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?

A. \$360
B. \$375
C. \$480
D. \$495
E. \$510

How much did Charlie receive initially or after the distribution needs to be made clear ! How are we ascertaining that the initial amount received by Charlie is being asked for ?
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Location: India
GPA: 3.12
Re: Three friends Alice, Bond and Charlie divide \$1105 amongs them in such  [#permalink]

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09 Jun 2018, 04:46
stne wrote:
Bunuel wrote:
Three friends Alice, Bond and Charlie divide \$1105 amongs them in such a way that if \$10, \$20 and \$15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?

A. \$360
B. \$375
C. \$480
D. \$495
E. \$510

How much did Charlie receive initially or after the distribution needs to be made clear ! How are we ascertaining that the initial amount received by Charlie is being asked for ?

Hi stne

It is written that the three friends divide \$1105 among themselves.
We are told that if the \$10,\$20, and \$15 is reduced from their original share,
the ratio of their sums will become 11:18:24(as it changes from the original)

If they needed us to find out what his current share is - after the reduction
it would have read "what will Charlie's share after the amount is reduced"

Hope this helps you!
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Joined: 27 May 2012
Posts: 665
Three friends Alice, Bond and Charlie divide \$1105 amongs them in such  [#permalink]

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09 Jun 2018, 04:56
pushpitkc wrote:
stne wrote:
Bunuel wrote:
Three friends Alice, Bond and Charlie divide \$1105 amongs them in such a way that if \$10, \$20 and \$15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive?

A. \$360
B. \$375
C. \$480
D. \$495
E. \$510

How much did Charlie receive initially or after the distribution needs to be made clear ! How are we ascertaining that the initial amount received by Charlie is being asked for ?

Hi stne

It is written that the three friends divide \$1105 among themselves.
We are told that if the \$10,\$20, and \$15 is reduced from their original share,
the ratio of their sums will become 11:18:24(as it changes from the original)

If they needed us to find out what his current share is - after the reduction
it would have read "what will Charlie's share after the amount is reduced"

Hope this helps you!

Sorry , this is not convincing ,
I would make a similar argument :
If they wanted us to find the initial amount , the question would have asked what was Charlie's amount before the division or what was Charlie's original amount . With out the OA you would not know what is actually being asked .

Check out these similar questions , clearly mentioning the requirement

https://gmatclub.com/forum/the-number-o ... ml#p755376
https://gmatclub.com/forum/a-movie-buff ... ml#p953367

Hope this helps you!
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Concentration: Finance, Economics
Schools: Booth '21, CBS '21
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Re: Three friends Alice, Bond and Charlie divide \$1105 amongs them in such  [#permalink]

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19 Jun 2018, 08:02
1
total money divided is 1105 among three friends in the share of 11:18:24 but excluding 10, 20 and 15 usd, so lets take out these amount for now from total. 1105-45(10+20+15), we get 1060 divided according to the ratio above. 11x+18x+24x=53x=1060 or x=1060/53 or x=20. Now we know that 24*20 is 480+15 that we excluded, we get 495 usd that the third person received
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Location: India
GPA: 3.9
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Re: Three friends Alice, Bond and Charlie divide \$1105 amongs them in such  [#permalink]

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19 Jun 2018, 09:20
I attempted the question without calculation. Roughly the ratio between the three division is given. As the amount received by Charlie if reduced by 15, it should be a factor of 24. Hence, only b and d are left, others if reduced by 15 is not even an even no. Now, 24 is little less than 50% of sum of ratio of all three. And, 480 is also little less than 50% of 1060. Hence, I go with D.

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Re: Three friends Alice, Bond and Charlie divide \$1105 amongs them in such &nbs [#permalink] 19 Jun 2018, 09:20
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