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
By approximately what percent is x greater than 4/5 if
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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>
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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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.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
Answer: B
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