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What number is 200% greater than 300% of 2?

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What number is 200% greater than 300% of 2?  [#permalink]

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New post 05 Jul 2017, 07:45
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E

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Question Stats:

62% (00:55) correct 38% (00:54) wrong based on 61 sessions

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What number is 200% greater than 300% of 2?

A.10
B.12
C.14
D.16
E.18

It is a simple question, but the second part, finding a number which is 200% greater than something is what I am confused about!
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Re: What number is 200% greater than 300% of 2?  [#permalink]

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New post 05 Jul 2017, 07:54
300%(2) = 3*2 = 6.
200%(6) = 2*6 = 12.
200% greater than 6 = 12 greater than 6 = 12+6 = 18. Ans - E.
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Re: What number is 200% greater than 300% of 2?  [#permalink]

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New post 05 Jul 2017, 08:12
Viserion99 wrote:
What number is 200% greater than 300% of 2?
A.10
B.12
C.14
D.16
E.18

\(\frac{300}{100}*2*\frac{(200+100)}{100}\)

=\(\frac{300}{100}*2*\frac{300}{100}\)

=\(3*2*3\)

=\(18\)

Thus, the correct answer must be (E) 18
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What number is 200% greater than 300% of 2?  [#permalink]

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New post 06 Jul 2017, 17:55
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Viserion99 wrote:
What number is 200% greater than 300% of 2?

A.10
B.12
C.14
D.16
E.18

It is a simple question, but the second part, finding a number which is 200% greater than something is what I am confused about!

Remembering how to calculate the difference between percent of and percent greater than can get confusing.

Maybe the following will help.

Percent OF signals straight multiplication. In word problems, "of" almost always means multiply. Examples:

1. 50 percent of 6 means (.50 x 6), which = 3

2. 300% of 2 means \(\frac{300}{100}\) x 2 ==> \(\frac{600}{100}\) = 6

Percent greater than means ADD the indicated percent BACK to the original number. So there's an extra and different thing to do: ADD something back to original. Examples:

1. 10 percent greater than 20 means: find 10% of 20, and add that result to the original 20

--10 percent of 20 = (.10)(20) = 2, then

--Add that result back to the original 20, hence 2 + 20 = 22

2. 200 percent greater than 6 means: find 200% of 6 and add that result back to the original 6

--(200% of 6) plus (6) =

--(\(\frac{200}{100}\) x 6) + 6 =

--12 + 6 = 18

If you use multipliers, it's even easier to remember. Percent greater than means ADD ONE to your multiplier. Examples:

1. 10 percent greater than 20 means

--your multiplier will be .10 + 1 = 1.1, and

--1.1 x 20 = 22

2. 200 percent greater than 6 means

--your multiplier is 2+ 1 = 3, and

-- 3 x 6 = 18

I have a mnemonic that may work for you.

Unlike OF, than and add both have an "a" (and in the US, that "a" is pronounced the same).

Percent greater thAn = Add (either 1 to multiplier, or, if you use fractions, required percentage back to original).

So what number is 200% greater than 300% of 2?

300% of 2 => 3*2 = 6, and
200% greater than 6 => 3*6 = 18.

Answer E

Hope it helps.
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What number is 200% greater than 300% of 2?   [#permalink] 06 Jul 2017, 17:55
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