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19 Feb 2018, 23:15
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C
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Difficulty:
25%
(medium)
Question Stats:
79% (01:58) correct
21%
(02:49)
wrong
based on 146
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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
(A) $125
(B) $175
(C) $400
(D) $500
(E) $540
19 Feb 2018, 23:23
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Let us consider the initial % of amount in account was 100%
Amount withdrawn on Monday - 10%
Remaining Balance = 90 %
Amount deposited on friday = X
Total % on account = 125% of initial amount.
We need to find out the amount deposited on friday was what % of the original amount as first step = 125% - 90% = 35%
X = 35 % of original amount = 140$
If 35% = $140 , 100% = 400. Original amount in the account was $400
Ans: C
Amount withdrawn on Monday - 10%
Remaining Balance = 90 %
Amount deposited on friday = X
Total % on account = 125% of initial amount.
We need to find out the amount deposited on friday was what % of the original amount as first step = 125% - 90% = 35%
X = 35 % of original amount = 140$
If 35% = $140 , 100% = 400. Original amount in the account was $400
Ans: C
20 Feb 2018, 16:59
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Bunuel
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:
\(.90x + $140 = 1.25x\)
