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# What percentage of A is B? (1) A increased by 50% is equal

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What percentage of A is B? (1) A increased by 50% is equal [#permalink]  15 Nov 2008, 13:40
What percentage of A is B?

(1) A increased by 50% is equal to B.

(2) AB is 50% greater than A.

Shouldn't this be D?

To find what percentage B is of A, you need either the values of both variables or an equation that will allow you to solve for the percentage . The stem doesn't offer much information, so move on to the statements.

Statement (1): sufficient. This can be translated into the equation A + 0.5A = B, or 1.5A = B, and you could easily solve for the percentage . Statement (1) is sufficient; eliminate (B), (C), and (E).

Statement (2): insufficient. This translates to AB = A + 0.5A. Simplified, AB = 1.5A, and dividing by A, you have that B = 1.5. However, you cannot determine the value of A, as you have two variables and only one equation; thus, you cannot determine what percentage B is of A. Choice (A) is correct.

My question is that statement is asking for percentage... the value is not important?
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Re: Data Sufficiency [#permalink]  15 Nov 2008, 13:46
hwiya320 wrote:

My question is that statement is asking for percentage... the value is not important?

To determine what percentage of A is B. you either need

(1) an equation that is of the form B = X/100 (A)

or

(2) values of both A & B.

(A) gives exactly (1)

(B) gives only B and no A. Hence insuff
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Re: Data Sufficiency [#permalink]  15 Nov 2008, 23:41
IMO = A

1. We can know exactly the percentage by writing the equation.
2. We can know only the value of B. A can be any number.
Re: Data Sufficiency   [#permalink] 15 Nov 2008, 23:41
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