What percent of 20 is Y

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Thu Jan 04, 2018 11:53 pm

What percent of 20 is Y?

(1) 50 percent of Y is 5.
(2) Y percent of 200 is 20

Which of the statements is sufficient?

OA D

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Source: Beat The GMAT — Data Sufficiency | Thu Jan 04, 2018 11:53 pm

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ErikaPrepScholar: Legendary Member; Posts: 503; Joined: Thu Jul 20, 2017 9:03 amFollowed by: 15 members; Thanked: 86 times; GMAT Score:770

by ErikaPrepScholar » Fri Jan 05, 2018 7:24 am

We want to find what percent of 20 Y is. In other words, we want to find:
$$\frac{Y}{20}\cdot100\ =\ ?$$
$$Y\ \cdot\ 5\ =\ ?$$
This means that we can solve if we know the value of Y.

Statement 1
If 50 percent of Y is 5, then $$\frac{50}{100}\cdot Y\ =\ 5$$ $$0.5\cdot Y\ =\ 5$$ $$Y\ =\ 10$$
Sufficient.

Statement 2
If Y percent of 200 is 20, then $$\frac{Y}{100}\cdot200\ =\ 20$$ $$Y\cdot2=\ 20$$ $$Y=\ 10$$
Sufficient.

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