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I think it is 1100 instead of 1000 in your explanation for statement-2.

iamsiddharthkapoor
Bunuel
A savings account earned 1% interest compounded each month, credited on the last day of the month. On December 8 there was $1,115.67 in the account. During which month did the account first exceed $1,100?

(1) $1,000 was deposited on the previous December 31.
(2) There were no deposits or withdrawals this year.

We're given the final amount, time period, type of interest, and rate of interest. Using these information, we can find the month in which the account first exceed $1,100 provided we can be sure of whether or not there were any other transactions involved during the course of time.

(1) Since we do not know whether there were any deposits or withdrawals, we can't find out answer.
Thus, not sufficient.

(2) 1000=(1115.67)/\((1.01)^t\)
From the above equation we can find the value of t.
Thus, sufficient.

Therefore, the answer is option B.
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How did you arrive at the second formula ? I am stuck there.

1000=(1115.67)/(1.01)t???



siddharthkapoor
Bunuel
A savings account earned 1% interest compounded each month, credited on the last day of the month. On December 8 there was $1,115.67 in the account. During which month did the account first exceed $1,100?

(1) $1,000 was deposited on the previous December 31.
(2) There were no deposits or withdrawals this year.

We're given the final amount, time period, type of interest, and rate of interest. Using these information, we can find the month in which the account first exceed $1,100 provided we can be sure of whether or not there were any other transactions involved during the course of time.

(1) Since we do not know whether there were any deposits or withdrawals, we can't find out answer.
Thus, not sufficient.

(2) 1000=(1115.67)/\((1.01)^t\)
From the above equation we can find the value of t.
Thus, sufficient.

Therefore, the answer is option B.
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can someone please provide an explanation to the question. i am unable to understand why the answer will be option b and not option c.
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sanya2711
can someone please provide an explanation to the question. i am unable to understand why the answer will be option b and not option c.


We can do it without any math, just based on reasoning - Just as GMAT likes

We know the ending amount (i.e. amount on 8th December). At some point in the past few months, the account was worth $1000. From that point to December 8, our account value increased by $ 115.67 (1115.67 - 1000). This amount is $1000 + 1% interest for X months + deposits - withdrawals.
Here X is the duration between Dec 8 and the time when the account reached $1000.

Now, statement 2 says that there were no deposits/withdrawals this year. Hence, 1115.67 = 1000 + 1% interest for X months. In this equation, the only unknown is X. Its one equation, one unknown. Hence, X can be calculated.
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Hi Bunuel, KarishmaB, I am asking this in general, when we say "A savings account earned 1% interest compounded each month" like mentioned in this question also, here 1% is annual interest rate i.e. in the formula we would put 1/12, or this 1% is already - (annual interest rate/12), meaning annual interest rate is 12%. Here it doesn't matter but if any question like in quant this language can trip me and would be better to clarify it.
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