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# If y is 50 percent more than 50 percent of 200, what percentage

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Math Expert
Joined: 02 Aug 2009
Posts: 7028
If y is 50 percent more than 50 percent of 200, what percentage  [#permalink]

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15 Sep 2018, 07:18
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Difficulty:

25% (medium)

Question Stats:

84% (00:34) correct 16% (00:33) wrong based on 37 sessions

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If y is 50 percent more than 50 percent of 200, what percentage of 200 is y?

(A) 25%
(B) 100/3%
(C) 50%
(D) 200/3%
(E) 75%

New question!!!..

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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Re: If y is 50 percent more than 50 percent of 200, what percentage  [#permalink]

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15 Sep 2018, 07:35
chetan2u wrote:
If y is 50 percent more than 50 percent of 200, what percentage of 200 is y?
(A) 25%
(B) 100/3%
(C) 50%
(D) 200/3%
(E) 75%

New question!!!..

y = 50% of 200 of 150% of 200 is $$\frac{50}{100}*200*\frac{150}{100}$$ = $$150$$

Now, a% of 200 = 150

Hence, $$a = 75$$, Answer must be (E)
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If y is 50 percent more than 50 percent of 200, what percentage  [#permalink]

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15 Sep 2018, 10:44
chetan2u wrote:
If y is 50 percent more than 50 percent of 200, what percentage of 200 is y?
(A) 25%
(B) 100/3%
(C) 50%
(D) 200/3%
(E) 75%

New question!!!..

We don't need 200 - multiply the multipliers

If y is 50 percent more than 50 percent of 200, what percentage of 200 is y?

The base of comparison is the same number. We could put any number in for 200. (Try 60, e.g.)
y as a percentage of the base number (200, 60, x) does not change
Let $$200 = x$$

Multiply the multipliers:
$$y = (1.5*.5x)=.75x$$
$$\frac{y}{x}=.75=75$$ %

Algebraically

(1) "y is 50 percent more than"
(2) "50 percent of 200"

Solve (2) first. It has a "counting" number
=>
(2) 50 percent of 200 = 100
Then
(1) y is 50 percent more than 100: y = 150

(3) What percentage of 200 is y? Reverse:

$$y$$ (150) IS what percentage OF 200?
$$y=\frac{x}{100}*200$$
$$150=\frac{x}{100}*200$$
$$(\frac{150}{200}*100)=(.75*100)=75$$ %

If y is 50 percent more than 50 percent of 200, what percentage &nbs [#permalink] 15 Sep 2018, 10:44
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