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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 BTGmoderatorDC » Sat Jun 06, 2020 10:45 pm

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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


OA B

Source: Manhattan Prep
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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 RaghavKhanna » Sun Jun 07, 2020 2:36 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
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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 » Sun Jun 07, 2020 8:27 pm
BTGmoderatorDC wrote: ↑
Sat Jun 06, 2020 10:45 pm
 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
Say the initial balance was $x.

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
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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 Scott@TargetTestPrep » Thu Jun 11, 2020 12:59 pm
BTGmoderatorDC wrote: ↑
Sat Jun 06, 2020 10:45 pm
 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

Solution:

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

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