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

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Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 12 Dec 2012, 08:51
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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%
[Reveal] Spoiler: OA
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Re: Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 12 Dec 2012, 08:58
Expert's post
Walkabout 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).

Answer: C.
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Re: Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 02 Jul 2013, 22:02
I am working on trying to nail down these questions.

Is there a way to solve this problem by assuming that Mary's income is 160, which is 60% more than Juan's?

Or does that just cause problems.

Thanks,
Hunter
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Re: Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 02 Jul 2013, 22:19
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hfbamafan 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%

I am working on trying to nail down these questions.

Is there a way to solve this problem by assuming that Mary's income is 160, which is 60% more than Juan's?

Or does that just cause problems.

Thanks,
Hunter


You can do this way, though the way proposed in my post is better:

Mary's income = 160.
Tim's income = 100;
Juan's income = 100/0.6 = 500/3.

(160)/(500/3)*100 = 480/500*100 =96%.\
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Re: Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 02 Jul 2013, 22:25
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If Tim's income is 100
and Marys income is 160
Juan's income, J, can be found by dividing Tim's income by .6
100 = .6J
J = 167

Mary's income as a percentage of Juan's is then
160/167 = .96
(you can just estimate the .96 by looking at the answer choices)
(also Mr. Bunuels method is way better)
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Re: Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 02 Jul 2013, 23:47
Thanks alot.

This problem area seems to be the hardest for me to think through logically.

I need to work hard on word problems, even though I know that they are easy.
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Re: Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 13 Apr 2014, 13:21
Mary's income is 60 percent more than Tim's income: M = 1.6T
Tim's income is 40 percent less than Juan's income: T = 0.6J
To compare them, we will need to rationalise the ratio of the 3 individuals M : T : J

M : T : J => 1 : 1.6(1) : 0.6(1.6)
= 1 : 1.6 : 0.96

Here we got the answer required: M:J = 1 : 0.96
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Re: Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 21 Apr 2014, 23:10
Answer = (C) 96%

Refer chart below:

\(\frac{96}{100} * 100 = 96\)
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Mary's income is 60 percent more than Tim's income, and Tim' [#permalink] New post 07 Dec 2014, 22:56
Bunuel wrote:
Walkabout 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).

Answer: C.


Hi Bunuel! Really hoping you can help me understand something. I can not for the life of me make this equation work by setting Tim 100. I read your other comment regarding this, but I saw you wrote: Mary's income = "100/0.6". May I ask why you divided 0.6 rather than multiplied?

My quant is very weak so sorry if the answer is obvious.

EDIT: I just ran into another question and made a similar mistake. Therefore I think my question needs to be when should I use "amount*0.%" vs "amount/1.%"?

E.g why did you (and others here) go with "100/0.6" and not "100*0.60" since it says Tim's income is 60% of Juan's;

And for this (similar) question (the-price-of-lunch-for-15-people-was-207-including-a-68537.html)

To get ride of the 15% around, why is 207=1.15x correct and not "207*.85"?

Hope my question makes sense and makes in advance for your/anyone who can help.
Mary's income is 60 percent more than Tim's income, and Tim'   [#permalink] 07 Dec 2014, 22:56
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