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# x and y are positive. 30 percent of x is y.

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x and y are positive. 30 percent of x is y. [#permalink]  02 Dec 2018, 09:49
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Question Stats:

95% (00:20) correct 5% (00:23) wrong based on 20 sessions
x and y are positive. 30 percent of x is y.

 Quantity A Quantity B $$\frac{x}{y}$$ 3

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
[Reveal] Spoiler: OA

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Director
Joined: 20 Apr 2016
Posts: 868
WE: Engineering (Energy and Utilities)
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Kudos [?]: 645 [1] , given: 142

Re: x and y are positive. 30 percent of x is y. [#permalink]  04 Dec 2018, 06:05
1
KUDOS
Carcass wrote:
x and y are positive. 30 percent of x is y.

 Quantity A Quantity B $$\frac{x}{y}$$ 3

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given

Explanation::

30% of x = y

or $$x = \frac{{100y}}{30}$$

or $$\frac{x}{y} = \frac{10}{3}= 3.33..$$

Hence Qty A > Qty B
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Re: x and y are positive. 30 percent of x is y. [#permalink]  09 Dec 2018, 10:29
1
KUDOS
Expert's post
Carcass wrote:
x and y are positive. 30 percent of x is y.

 Quantity A Quantity B $$\frac{x}{y}$$ 3

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given

GIVEN: 30 percent of x is y.
We can write: 0.3x = y

From here, we can use the technique of matching operations

Given:
Quantity A: x/y
Quantity B: 3

Since we're told that y is POSITIVE, we can safely multiply both quantities by y to get:
Quantity A: x
Quantity B: 3y

Since we know that 0.3x = y, we can replace y with 0.3x to get:
Quantity A: x
Quantity B: 3(0.3x)

Simplify to get:
Quantity A: x
Quantity B: 0.9x

Since we're told that x is POSITIVE, we can safely divide both quantities by x to get:
Quantity A: 1
Quantity B: 0.9

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Re: x and y are positive. 30 percent of x is y.   [#permalink] 09 Dec 2018, 10:29
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