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Jaspher invested in two ventures A and B, with rates of interest at 5k% and 3k%, respectively. What was the initial investment Jaspher made in venture B?
(1) The amount Jaspher invested in venture B was five times the amount he invested in venture A.
(2) The interest from venture B was $150 while the interest from venture A was $50.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • d)
    EACH statement ALONE is sufficient.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Jaspher invested in two ventures A and B, with rates of interest at 5k...
Answer:(E)
Let the initial investment in venture A be denoted as 'a', and the initial investment in venture B be 'b'. 
The question is asking for the value of 'b'.
Statement (1):
This statement tells you that the initial investment in venture B is five times the initial investment in venture A. 
In mathematical terms, this gives you b = 5a. 
However, without knowing the value of 'a', you cannot determine the value of 'b'. Thus, statement (1) alone is not sufficient.
Statement (2):
This statement tells you that 'a' dollars earning interest at a rate of 5k% equals $50, and 'b' dollars earning interest at a rate of 3k% equals $150. 
This gives you two equations: 5k/100 * a = $50 and 
3k/100 * b = $150.
Manipulating these equations, we get:
a = $50 / (5k/100) and
b = $150 / (3k/100)
Dividing, these we get,
a/b = 1/5
However, we can't figure out the individual values of 'a' and 'b' as the value of 'k' is not given. So, statement (2) alone is also not sufficient.
Taking BOTH statements TOGETHER, we still can't determine the value of 'b' because we do not know the value of 'k'. Both statements together simply confirm that b = 5a, but without the value of 'k', we cannot determine the individual values of 'a' and 'b'. Therefore, BOTH statements TOGETHER are NOT sufficient.
The correct answer is (E).
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Jaspher invested in two ventures A and B, with rates of interest at 5k% and 3k%, respectively. What was the initial investment Jaspher made in venture B?(1) The amount Jaspher invested in venture B was five times the amount he invested in venture A.(2) The interest from venture B was $150 while the interest from venture A was $50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Jaspher invested in two ventures A and B, with rates of interest at 5k% and 3k%, respectively. What was the initial investment Jaspher made in venture B?(1) The amount Jaspher invested in venture B was five times the amount he invested in venture A.(2) The interest from venture B was $150 while the interest from venture A was $50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Jaspher invested in two ventures A and B, with rates of interest at 5k% and 3k%, respectively. What was the initial investment Jaspher made in venture B?(1) The amount Jaspher invested in venture B was five times the amount he invested in venture A.(2) The interest from venture B was $150 while the interest from venture A was $50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer?.
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