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# If y ≠ 0, what percent of y percent of 50 is 40 percent of y

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 [0], given: 397

If y ≠ 0, what percent of y percent of 50 is 40 percent of y [#permalink]  14 Jul 2018, 05:03
Expert's post
00:00

Question Stats:

85% (00:35) correct 14% (00:00) wrong based on 7 sessions
If y ≠ 0, what percent of y percent of 50 is 40 percent of y?

[Reveal] Spoiler: OA
80

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 [0], given: 397

Re: If y ≠ 0, what percent of y percent of 50 is 40 percent of y [#permalink]  14 Jul 2018, 05:17
Expert's post
Explanation

The question already contains a variable (y). Use another variable to represent the desired value. Represent “what” with the variable x, and isolate x to solve. Notice that by the end, the y variables cancel out:

$$\frac{x}{100} \times \frac{y}{100} \times 50=\frac{40}{100}y$$.

At this point, there are many options for simplifying, but do simplify before multiplying anything. Here is one way to simplify:

$$\frac{x}{100} \times \frac{y}{2} \times 50=\frac{2}{5}y$$.

$$x=80.$$
_________________

Sandy
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Re: If y ≠ 0, what percent of y percent of 50 is 40 percent of y   [#permalink] 14 Jul 2018, 05:17
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