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# If (x + y)/x - y = 4/3 and x 0, then what percentage (to the nearest

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Joined: 02 Sep 2009
Posts: 59587
If (x + y)/x - y = 4/3 and x 0, then what percentage (to the nearest  [#permalink]

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10 Apr 2019, 23:33
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Difficulty:

25% (medium)

Question Stats:

86% (01:49) correct 14% (02:31) wrong based on 22 sessions

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If $$\frac{x + y}{x - y} = \frac{4}{3}$$ and x ≠ 0, then what percentage (to the nearest integer) of x + 3y is x – 3y ?

(A) 20%
(B) 25%
(C) 30%
(D) 35%
(E) 40%

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Joined: 31 Oct 2013
Posts: 1489
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If (x + y)/x - y = 4/3 and x 0, then what percentage (to the nearest  [#permalink]

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11 Apr 2019, 01:31
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Bunuel wrote:
If $$\frac{x + y}{x - y} = \frac{4}{3}$$ and x ≠ 0, then what percentage (to the nearest integer) of x + 3y is x – 3y ?

(A) 20%
(B) 25%
(C) 30%
(D) 35%
(E) 40%

Given,

$$\frac{x + y}{x - y} = \frac{4}{3}$$

3x + 3y = 4x - 4y

x = 7y.

Required % : ($$\frac{x - 3y}{x + 3y}$$)*100

= ($$\frac{7y - 3y}{7y + 3y}$$ )*100

=$$\frac{4y}{10y}$$ * 100

= 40%

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Re: If (x + y)/x - y = 4/3 and x 0, then what percentage (to the nearest  [#permalink]

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13 Apr 2019, 19:01
Bunuel wrote:
If $$\frac{x + y}{x - y} = \frac{4}{3}$$ and x ≠ 0, then what percentage (to the nearest integer) of x + 3y is x – 3y ?

(A) 20%
(B) 25%
(C) 30%
(D) 35%
(E) 40%

Simplifying, we have:

3x + 3y = 4x - 4y

7y = x

Thus:

x + 3y = 10y

x - 3y = 4y

So 4y/(10y) * 100 = 40%.

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Re: If (x + y)/x - y = 4/3 and x 0, then what percentage (to the nearest   [#permalink] 13 Apr 2019, 19:01
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