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Re: Percentage of a Number compared with Fraction of a Number [#permalink]
3
yasir9909 wrote:
Quantity A
Quantity B
30 percent of x
(4/13) of x




Whenever I have the option of plugging in values, I first look for equality
That is, I look for a value that will make the two quantities equal.
Right away, I see that if x = 0, then Quantities A and B are equal.
So, EITHER the two quantities are always equal (which means the answer is A) OR the two quantities are not always equal (which means the answer is D)
So, in a matter of seconds, I know the correct answer is A or D

Now plug in a different value for x. How about x = 1
We get...
Quantity A: 30 percent of 1 = 3/10 of 1 = 3/10
Quantity B: (4/13) of 1 = 4/13
These two values are clearly NOT equal.

So, the answer must be D

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Re: Percentage of a Number compared with Fraction of a Number [#permalink]
2
yasir9909 wrote:
Quantity A
Quantity B
30 percent of x
(4/13) of x



Another approach is matching operations

Given:
Quantity A: 30 percent of x
Quantity B: 4/13 of x

Rewrite Quantity A as follows....
Quantity A: 3/10 of x
Quantity B: 4/13 of x

This is the same as ....
Quantity A: (3/10)x
Quantity B: (4/13)x

Rewrite fractions with common denominators
Quantity A: (39/130)x
Quantity B: (40/130)x

Subtract (39/130)x from both quantities
Quantity A: 0
Quantity B: (1/130)x

Divide both quantities by 1/130
Quantity A: 0
Quantity B: x

Since we're told nothing about x, we can see that Quantity B can be less than, equal to, or greater than Quantity A
Answer:
Show: ::
D


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Re: Percentage of a Number compared with Fraction of a Number [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Percentage of a Number compared with Fraction of a Number [#permalink]
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