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# If x and y are positive integers, what percent of three more than y is

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SVP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
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If x and y are positive integers, what percent of three more than y is [#permalink]

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24 Sep 2017, 12:22
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35% (medium)

Question Stats:

62% (00:50) correct 38% (01:18) wrong based on 114 sessions

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If x and y are positive integers, what percent of three more than y is twice the value of x?

A 1/200x(y + 3)
B y + 3/200x
C 100(y + 3)/2x
D (200x/y) + 3
E 200x/(y + 3)

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Joined: 22 May 2016
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If x and y are positive integers, what percent of three more than y is [#permalink]

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24 Sep 2017, 13:20
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If x and y are positive integers, what percent of three more than y is twice the value of x?

A 1/200x(y + 3)
B y + 3/200x
C 100(y + 3)/2x
D (200x/y) + 3
E 200x/(y + 3)

Rewrite: twice the value of x is what percent of three more than y?

Twice the value of x $$= 2x$$
Three more than y = $$y + 3$$

$$\frac{part}{whole} * 100 =$$ percent

$$\frac{2x}{(y + 3)} * 100 =$$ percent

percent = $$\frac{200x}{(y + 3)}$$

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Joined: 06 Aug 2017
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Re: If x and y are positive integers, what percent of three more than y is [#permalink]

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24 Sep 2017, 14:28
If x and y are positive integers, what percent of three more than y is twice the value of x?

A 1/200x(y + 3)
B y + 3/200x
C 100(y + 3)/2x
D (200x/y) + 3
E 200x/(y + 3)

The answer should be E as follows.

Let the percentage we have to find out is z.

As per the condition given,

$$(\frac{z}{100})*(y+3)=2x$$ ==> $$z=\frac{2x*100}{(y+3)}$$ ==>$$\frac{200x}{(y+3)}$$

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Re: If x and y are positive integers, what percent of three more than y is [#permalink]

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26 Sep 2017, 16:34
If x and y are positive integers, what percent of three more than y is twice the value of x?

A 1/200x(y + 3)
B y + 3/200x
C 100(y + 3)/2x
D (200x/y) + 3
E 200x/(y + 3)

We can translate “what percent of three more than y is twice the value of x” into an expression in which n is the percent:

(n/100)(y + 3) = 2x

n/100 = (2x)/(y + 3)

n = (200x)/(y + 3)

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Re: If x and y are positive integers, what percent of three more than y is   [#permalink] 26 Sep 2017, 16:34
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