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# J is 25% less than P and 20% less than T. T is x% less than P. What is

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Manager
Joined: 08 May 2015
Posts: 86
GMAT 1: 630 Q39 V38
GMAT 2: 670 Q44 V38
GMAT 3: 750 Q49 V44
J is 25% less than P and 20% less than T. T is x% less than P. What is  [#permalink]

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18 Jul 2015, 17:40
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Difficulty:

35% (medium)

Question Stats:

70% (02:37) correct 30% (02:10) wrong based on 78 sessions

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J is 25% less than P and 20% less than T. T is x% less than P. What is the value of x?

A) 93.5
B) 90
C) 6.75
D) 6.25
E) 2
CEO
Joined: 20 Mar 2014
Posts: 2549
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
J is 25% less than P and 20% less than T. T is x% less than P. What is  [#permalink]

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18 Jul 2015, 18:12
Mascarfi wrote:
J is 25% less than P and 20% less than T. T is x% less than P. What is the value of x?

A) 93.5
B) 90
C) 6.75
D) 6.25
E) 2

Given J = 0.75 P and J = 0.8 T ---> 0.75P =0.8T ----> T = (15/16)P ---> % of T less than P = $$\frac{P-T}{P} * 100$$ = 6.25 %, D is the correct answer.

Mascarfi, when you mention the source of the question as "Source: Other - Please specify", please do specify the source in the question.
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
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Re: J is 25% less than P and 20% less than T. T is x% less than P. What is  [#permalink]

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18 Jul 2015, 21:22
Mascarfi wrote:
J is 25% less than P and 20% less than T. T is x% less than P. What is the value of x?

A) 93.5
B) 90
C) 6.75
D) 6.25
E) 2

Usually We can solve every question of this type by choosing appropriate value of the Variable and deriving the value of other related variables.

Let, P = 400
then J = (75/100)*400 = 300
also J = (80/100)*T
i.e. T = 300*100/80 = 375

and T = [1-(x/100)]*P
i.e. 100-x = 100*T/P = 100*375/400 = 93.75
i.e. x = 6.25

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Manager
Joined: 03 May 2014
Posts: 52
Concentration: Operations, Marketing
GMAT 1: 680 Q48 V34
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WE: Engineering (Energy and Utilities)
Re: J is 25% less than P and 20% less than T. T is x% less than P. What is  [#permalink]

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19 Jul 2015, 08:37
we can directly have relation. .75P=.80T (as these both are values of J)----=> T=75/80 P----1.
we have been given T= P(1-x/100)
so by Putting the value of T from1. we get 75/80 P=P(1-x/100) and from here we get a value of x=6.25.
SVP
Joined: 06 Nov 2014
Posts: 1868
Re: J is 25% less than P and 20% less than T. T is x% less than P. What is  [#permalink]

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20 Jul 2015, 08:06
J is 25% less than P and 20% less than T. T is x% less than P. What is the value of x?

A) 93.5
B) 90
C) 6.75
D) 6.25
E) 2
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Re: J is 25% less than P and 20% less than T. T is x% less than P. What is   [#permalink] 20 Jul 2015, 08:06
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