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# On Monday, a depositor withdraws funds from his savings account equal

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Math Expert
Joined: 02 Sep 2009
Posts: 55277
On Monday, a depositor withdraws funds from his savings account equal  [#permalink]

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19 Feb 2018, 23:15
00:00

Difficulty:

35% (medium)

Question Stats:

73% (01:43) correct 27% (01:49) wrong based on 37 sessions

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On Monday, a depositor withdraws funds from his savings account equal to 10% of the amount on deposit, and on Friday he deposits $140. If there were no other transactions, and if the amount in the account following Friday's transaction was 125% of the original amount, how much money was originally in the account? (A)$125

(B) $175 (C)$400

(D) $500 (E)$540

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Joined: 31 May 2017
Posts: 335
Re: On Monday, a depositor withdraws funds from his savings account equal  [#permalink]

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19 Feb 2018, 23:23
1
Let us consider the initial % of amount in account was 100%
Amount withdrawn on Monday - 10%
Remaining Balance = 90 %

Amount deposited on friday = X
Total % on account = 125% of initial amount.

We need to find out the amount deposited on friday was what % of the original amount as first step = 125% - 90% = 35%
X = 35 % of original amount = 140$If 35% =$140 , 100% = 400. Original amount in the account was $400 Ans: C _________________ Please give kudos if it helps Resources | | | | | Senior SC Moderator Joined: 22 May 2016 Posts: 2772 On Monday, a depositor withdraws funds from his savings account equal [#permalink] ### Show Tags 20 Feb 2018, 16:59 Bunuel wrote: On Monday, a depositor withdraws funds from his savings account equal to 10% of the amount on deposit, and on Friday he deposits$140. If there were no other transactions, and if the amount in the account following Friday's transaction was 125% of the original amount, how much money was originally in the account?

(A) $125 (B)$175

(C) $400 (D)$500

(E) $540 Let x = original deposit amount $$.90x + 140 = 1.25x$$ $$.35x = 140$$ $$x=\frac{140}{.35}=\frac{14,000}{35}=400$$ Answer C Translating: x = amount of original deposit 1) On Monday, a person "withdraws funds from his savings account equal to 10% of the amount on deposit..." In other words, he leaves 90 percent of the original money he deposited: .90x stays in the bank on Monday 2) "[O]n Friday he deposits$140" into that account. There are no other transactions. Now, in the account, he has Monday's amount and
+$140 3) . . ."the amount in the account following Friday's transaction was 125% of the original amount. . ." After that deposit of$140, the total amount in the bank is 125 percent of the original amount:
= 1.25x

Equation:
$$.90x + 140 = 1.25x$$
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Re: On Monday, a depositor withdraws funds from his savings account equal  [#permalink]

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27 Mar 2019, 00:33
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: On Monday, a depositor withdraws funds from his savings account equal   [#permalink] 27 Mar 2019, 00:33
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