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

This topic has expert replies
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

Official Answer

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

Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

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>

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7222
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage