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By approximately what percent is x greater than 4/5 if

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by Gmat_mission » Sat Apr 27, 2019 3:10 am

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Answers

A

B

C

D

E

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Difficulty—

By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?

A. 73%
B. 56%
C. 41%
D. 37%
E. 29%

[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT
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Official Answer

by Gmat_mission » Sun May 05, 2019 1:10 pm
[spoiler]OA=B[/spoiler]
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by Vincen » Sun May 05, 2019 1:15 pm
Hi Gmat_mission.

First, let's find the value of \(x\). We have that \(\frac{4}{5}x=1\) which implies that \(x=\frac{5}{4}\).

Now, we need to compare the numbers \(\frac{4}{5}\) and \(x=\frac{5}{4}\). We do it as follows:

\(\frac{4}{5} ------ 100\% \)
\(\frac{5}{4} ------ y\% \)

Then, $$y=\frac{\frac{5}{4}\cdot100}{\frac{4}{5}}=\frac{125}{\frac{4}{5}}=156.25\%.$$ So, \(x\) is approximately \(56\%\) greater than \(\frac{4}{5}\).

Therefore, the correct answer is the option _B_.

I hope it is clear. <i class="em em---1"></i>
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by Scott@TargetTestPrep » Mon May 06, 2019 7:08 pm
Gmat_mission wrote:By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?

A. 73%
B. 56%
C. 41%
D. 37%
E. 29%

[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT
We see that x = 1/(4/5) = 5/4, and therefore, 5/4 is (5/4 - 4/5)/(4/5) = (25/20 - 16/20) * (5/4) = 9/20 * 5/4 = 9/16 = 0.5625 ≈ 56% greater than 4/5.

Answer: B

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