When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/4 of the remaining balance, what will be the final balance in her bank account?
A) 300
B) 375
C) 400
D) 500
E) 575
OA B
Source: Manhattan Prep
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
-
RaghavKhanna
- Junior | Next Rank: 30 Posts
- Posts: 11
- Joined: Sun Jun 07, 2020 2:35 am
Initial balance = x
After $200 removed : x-200 = 3x/5
=> 2x/5=200
x=500
Amount deposited = (500-200)/4 = 75
Final Balance = $375
After $200 removed : x-200 = 3x/5
=> 2x/5=200
x=500
Amount deposited = (500-200)/4 = 75
Final Balance = $375
GMAT/MBA Expert
-
Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Say the initial balance was $x.BTGmoderatorDC wrote: ↑Sat Jun 06, 2020 10:45 pmWhen Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/4 of the remaining balance, what will be the final balance in her bank account?
A) 300
B) 375
C) 400
D) 500
E) 575
OA B
Source: Manhattan Prep
Given that when Jessica withdrew $200 from her bank account, her account balance decreased by 2/5, her balance now would be 3/5 of the initial balance = $3x/5
Thus, 2x/5 = 200 => x = $500
Thus, the balance now = 3x/5 = 3*500/5 = $300
After depositing an amount equal to 1/4 of the remaining balance ($300), the final balance would be 300 + 1/4 of 300 = $375.
The correct answer: B
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: GMAT Classes El Paso | GMAT Tutoring | GRE Prep Courses Oakland | Albuquerque Prep Classes SAT | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7294
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Solution:BTGmoderatorDC wrote: ↑Sat Jun 06, 2020 10:45 pmWhen Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/4 of the remaining balance, what will be the final balance in her bank account?
A) 300
B) 375
C) 400
D) 500
E) 575
OA B
We can let T = Jessica’s beginning balance. We can create the equation:
T - 200 = 3T/5
5T - 1000 = 3T
2T = 1000
T = 500
Therefore, her remaining balance after the withdrawal is 500 - 200 = $300. Since she deposits ¼ x 300 = $75 back into the account, her final balance is 300 + 75 = $375.
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
