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# Mary's income is 60 percent more than Tim's income, and Tim'

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VP
Joined: 09 Mar 2016
Posts: 1284
Re: Mary's income is 60 percent more than Tim's income, and Tim'  [#permalink]

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24 Feb 2018, 11:19
Bunuel wrote:
Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?

(A) 124%
(B) 120%
(C) 96%
(D) 80%
(E) 64%

Juan's income = 100 (assume);
Tim's income = 60 (40 percent less than Juan's income);
Mary's income = 96 (60 percent more than Tim's income).

Thus, Mary's income (96) is 96% of Juan's income (100).

Hello Bunuel,

i dont understand one thing:

if Tiim`s income is 100
Marry`s income is 160
now if Tim's income is 40 percent less than Juan's income --> which means that Juan`s income is 140

whats wrong with my reasoning ?
Math Expert
Joined: 02 Sep 2009
Posts: 55173
Re: Mary's income is 60 percent more than Tim's income, and Tim'  [#permalink]

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25 Feb 2018, 02:58
dave13 wrote:
Bunuel wrote:
Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?

(A) 124%
(B) 120%
(C) 96%
(D) 80%
(E) 64%

Juan's income = 100 (assume);
Tim's income = 60 (40 percent less than Juan's income);
Mary's income = 96 (60 percent more than Tim's income).

Thus, Mary's income (96) is 96% of Juan's income (100).

Hello Bunuel,

i dont understand one thing:

if Tiim`s income is 100
Marry`s income is 160
now if Tim's income is 40 percent less than Juan's income --> which means that Juan`s income is 140

whats wrong with my reasoning ?

_________________
Manager
Joined: 23 Sep 2016
Posts: 222
Re: Mary's income is 60 percent more than Tim's income, and Tim'  [#permalink]

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26 Feb 2018, 01:25
dave13 wrote:
Bunuel wrote:
Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?

(A) 124%
(B) 120%
(C) 96%
(D) 80%
(E) 64%

Juan's income = 100 (assume);
Tim's income = 60 (40 percent less than Juan's income);
Mary's income = 96 (60 percent more than Tim's income).

Thus, Mary's income (96) is 96% of Juan's income (100).

Hello Bunuel,

i dont understand one thing:

if Tiim`s income is 100
Marry`s income is 160
now if Tim's income is 40 percent less than Juan's income --> which means that Juan`s income is 140

whats wrong with my reasoning ?

from above question we can frame 2 equations:-
t+60%t=m
J-40%J=T
if i would be at your place i will try to make my question easier with lesser calculation i will simply put J as 100 that will make my question pretty easy and you will find straight answer as c.
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Joined: 09 Sep 2013
Posts: 10948
Re: Mary's income is 60 percent more than Tim's income, and Tim'  [#permalink]

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08 Mar 2019, 20:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Mary's income is 60 percent more than Tim's income, and Tim'   [#permalink] 08 Mar 2019, 20:50

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