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

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New post 18 Jul 2015, 17:40
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A
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E

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Question Stats:

68% (02:36) correct 32% (02:10) wrong based on 74 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
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J is 25% less than P and 20% less than T. T is x% less than P. What is  [#permalink]

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New post 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.
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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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New post 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

Answer: Option D
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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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New post 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.
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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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New post 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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