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Difficulty:
45%
(medium)
Question Stats:
68% (02:03) correct
32%
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wrong
based on 91
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At the beginning of 2024, Elena divided $1,200 between two savings accounts, Account A and Account B. The amount placed in Account A earned simple interest at 9% per year, and the amount placed in Account B earned simple interest at 5% per year. If no additional deposits or withdrawals were made in either account, by the end of 2024 was the interest earned by Account A greater than the interest earned by Account B?
(1) Elena placed less than one-third of the $1,200 in Account A.
(2) By the end of 2024, the total interest earned by the two accounts was $74.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) Elena placed less than one-third of the $1,200 in Account A.
(2) By the end of 2024, the total interest earned by the two accounts was $74.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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M47-169
03 Jun 2026, 02:30
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GMAT Club Official Solution:
At the beginning of 2024, Elena divided $1,200 between two savings accounts, Account A and Account B. The amount placed in Account A earned simple interest at 9% per year, and the amount placed in Account B earned simple interest at 5% per year. If no additional deposits or withdrawals were made in either account, by the end of 2024 was the interest earned by Account A greater than the interest earned by Account B?
Let x be the amount placed in Account A. Then the amount placed in Account B was 1200 - x.
Since the money stayed in the accounts for one year, the interest earned by Account A was 0.09x, and the interest earned by Account B was 0.05(1200 - x).
The question asks:
Is 0.09x > 0.05(1200 - x)?
Is 0.09x > 60 - 0.05x?
Is 0.14x > 60?
Is 7/50 * x > 60?
Is x > 3000/7 ?
Since 3000/7 is ≈ 430, Account A earned more interest than Account B only if x > 3000/7 ≈ 430.
(1) Elena placed less than one-third of the $1,200 in Account A.
One-third of 1200 is 400, so x < 400. Since x < 400, Account A definitely did not earn more interest than Account B.
Sufficient.
(2) By the end of 2024, the total interest earned by the two accounts was $74.
So:
0.09x + 0.05(1200 - x) = 74
0.09x + 60 - 0.05x = 74
0.04x = 14
x = 350
Since x = 350, Account A did not earn more interest than Account B.
Sufficient.
Answer: D.
At the beginning of 2024, Elena divided $1,200 between two savings accounts, Account A and Account B. The amount placed in Account A earned simple interest at 9% per year, and the amount placed in Account B earned simple interest at 5% per year. If no additional deposits or withdrawals were made in either account, by the end of 2024 was the interest earned by Account A greater than the interest earned by Account B?
Let x be the amount placed in Account A. Then the amount placed in Account B was 1200 - x.
Since the money stayed in the accounts for one year, the interest earned by Account A was 0.09x, and the interest earned by Account B was 0.05(1200 - x).
The question asks:
Is 0.09x > 0.05(1200 - x)?
Is 0.09x > 60 - 0.05x?
Is 0.14x > 60?
Is 7/50 * x > 60?
Is x > 3000/7 ?
Since 3000/7 is ≈ 430, Account A earned more interest than Account B only if x > 3000/7 ≈ 430.
(1) Elena placed less than one-third of the $1,200 in Account A.
One-third of 1200 is 400, so x < 400. Since x < 400, Account A definitely did not earn more interest than Account B.
Sufficient.
(2) By the end of 2024, the total interest earned by the two accounts was $74.
So:
0.09x + 0.05(1200 - x) = 74
0.09x + 60 - 0.05x = 74
0.04x = 14
x = 350
Since x = 350, Account A did not earn more interest than Account B.
Sufficient.
Answer: D.
General Discussion
BongBideshini
Joined: 25 May 2021
Last visit: 26 Sep 2026
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Location: India
Concentration: Entrepreneurship, Marketing
Schools: HBS '27 Stanford '27 Wharton '27 Sloan '27
GPA: 3.8
WE:Engineering (Government)
25 May 2026, 23:58
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Let the amount in Account A be x
Then amount in Account B: 1200 − x
Need to know whether:
0.09x > 0.05(1200−x)
0.09x > 60 − 0.05x
0.14x > 60
x > 428.57
So we need to know whether:
x > 428.57?
Statement (1)
Elena placed less than one-third in A.
x < 400
Since:
400 < 428.57
Sufficient.
Statement (2)
Total interest = 74
0.09x + 0.05(1200−x) = 74
0.09x + 60 − 0.05x = 74
0.04x = 14
x = 350
Sufficient.
Answer: D
Then amount in Account B: 1200 − x
Need to know whether:
0.09x > 0.05(1200−x)
0.09x > 60 − 0.05x
0.14x > 60
x > 428.57
So we need to know whether:
x > 428.57?
Statement (1)
Elena placed less than one-third in A.
x < 400
Since:
400 < 428.57
Sufficient.
Statement (2)
Total interest = 74
0.09x + 0.05(1200−x) = 74
0.09x + 60 − 0.05x = 74
0.04x = 14
x = 350
Sufficient.
Answer: D
Bunuel
