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When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal

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by Vincen » Sun May 03, 2020 11:54 am

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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


[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT
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Re: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount eq

by Jay@ManhattanReview » Tue May 05, 2020 11:48 pm
Vincen wrote: ↑
Sun May 03, 2020 11:54 am
 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

[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT
Given that Jessica withdrew $200 from her bank account, her account balance decreased by 2/5, we have 2/5 of original balance = $200

Thus, original balance = 200*5/2 = $500

Thus, the remaining balance = 500 – 200 = $300

After depositing an amount equal to 1/4 of the remaining balance (= $300), what will be the final balance in her bank account = 300 + 1/4 of 300 = $375

The correct answer: B

Hope this helps!

-Jay
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