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If w/(x + y) = 1, what is the value of (x + y)/y ?

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If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

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New post 13 Aug 2018, 03:23
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A
B
C
D
E

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  45% (medium)

Question Stats:

63% (01:12) correct 37% (01:32) wrong based on 60 sessions

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Re: If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

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New post 13 Aug 2018, 03:35
If w/(x + y) = 1, what is the value of (x + y)/y ?

\(\frac{x+y}{y}\)=\(1+\frac{x}{y}\)


(1) x/y = 3/2
So Ans 1+3/2=5/2
Suff

(2) y/w = 2/5
Now \(\frac{w}{x+y}\)=1 or \(\frac{x+y}{w}=1\)
x/w=1-2/5=3/5
So ratio of x:y:z=3:2:5 and thus x/y=3/2
Ans 1+3/2=5/2
Sufficient

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If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

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New post 13 Aug 2018, 07:16
Bunuel wrote:
If w/(x + y) = 1, what is the value of (x + y)/y ?


(1) x/y = 3/2

(2) y/w = 2/5


Given, w/(x + y) = 1
St1:- \(\frac{x}{y} = \frac{3}{2}\)
Or, \(\frac{x}{y}+1 = \frac{3}{2}+1\)
Or, \(\frac{x+y}{y} = \frac{5}{2}\)
Sufficient.

St2:- \(\frac{y}{w} = \frac{2}{5}\)
Or, \(w=\frac{5}{2}*y\)

Substituting 'w' in (1), we can express 'x' in terms of y, vice-versa.

Again, we can substitute the value of x or y in question stem and determine \(\frac{(x+y)}{y}\).

Sufficient.

Ans. (D)
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Re: If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

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New post 13 Aug 2018, 10:06
\(\frac{(x+y)}{y}\)= \(\frac{x}{y}\)+1............................(a)

(1) \(\frac{x}{y}\)=\(\frac{3}{2}\). Put this value in the above modified equation (a)

\(\frac{3}{2}\)+1= \(\frac{5}{2}\) [Suff]

\(\frac{w}{(x+y)}\)= 1...........................(b)

(2) \(\frac{y}{w}\)= \(\frac{2}{5}\) or 2w= 5y or w= \(\frac{5y}{2}\)

Put this value of w in the above equation (b)

\(\frac{5y}{2(x+y)}\)= 1 or \(\frac{2(x+y)}{5y}\)= 1 or \(\frac{(x+y)}{y}\)= \(\frac{5}{2}\) [Suff]

Answer: D.
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Re: If w/(x + y) = 1, what is the value of (x + y)/y ?   [#permalink] 13 Aug 2018, 10:06
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