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Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is [#permalink]

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10 Nov 2014, 13:16

1

This post received KUDOS

Bunuel wrote:

Tough and Tricky questions: Sequences.

If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?

A. y/200 B. 2y C. 50y D. 50/y E. 5000/y

Kudos for a correct solution.

I did this problem differently than DaVagabond, using some algebraic manipulation as well as properties of fractions and decimals as percentages. My solution is as follows:

For this problem, one needs to know a little about converting to percentages. First, when saying x is m percent of 2y, this means we need to know how to write some number m as a percentage. As percent implies (per one hundred) dividing m by 100 gives us m as a percentage. So we have x is m percent of 2y, or x = (m/100)*2y. This is because when saying x is a certain percentage of another number, you can find x by multiplying the given number by that percentage.

The next property we need to know is how to convert a fraction into a percentage. The problem wants us to find out what percentage m is of x. This value will be equal to (m/x)*100. Whenever finding what percentage some number m is of some number x, one can simply divide m/x and then multiply by 100. For example, when finding what percent 2 is of 3, 2/3 as a percentage, is 200/3, or 66.7%.

Now that we have our equation and our conversion property, we just need to solve.

We need to manipulate x = (m/100)*2y and get a term of (m/x). In doing so we find (m/x) = 50/y. To find (m/x) as a percentage, we just multiply 50/y * 100 which gives us an answer of 5000/y.

Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is [#permalink]

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10 Nov 2014, 15:08

nachobioteck wrote:

I did this by picking number.

2Y = 100 m =20 therefore x=20

20 = 100% of x therefore the answer is 2Y...

Hopefully this approach is the correct one.

I used a similar approach of picking numbers and have the same answer: 2Y

Picking numbers that make calculating % simple, I choose Y = 50, thus 2Y = 100

Any value for m (such as m=25), therefore, m/2y = x = 25/100 = 25%

And.... to find the solution m/x = 25/25 which is 1 (or 100%). Quickly scanning A through E, I see 2y, which is 2(50) = 100. This matches the value I'm looking for. Final answer: 2y

Re: If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is [#permalink]

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08 Apr 2017, 19:54

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