Direction: In these questions, questions are given followed by informa...
Using Statement
Using Statement II, A is 40% of total. So, B is 60% of total amount invested.
A/B = 40/60 = 2/3
Using Statement III, A = ₹45000
Putting the value of Statement III in any of the Statements I or II we can find the amount invested in scheme B.
Thus, either I or II can be dispensed with.Answer: E: Either I or II
Explanation:
To find the amount invested in Scheme B, we need to consider the information in both statements I and II.
Statement I tells us that the amounts invested in Schemes A and B are in the ratio of 2:3. This means that if the amount invested in Scheme A is known, we can calculate the amount invested in Scheme B by multiplying the amount invested in Scheme A by 3/2.
Statement II tells us that the amount invested in Scheme A is 40% of the total amount invested. If the total amount invested is known, we can calculate the amount invested in Scheme A by multiplying the total amount invested by 40%. Once we know the amount invested in Scheme A, we can use statement I to calculate the amount invested in Scheme B.
Statement III provides additional information that the amount invested in Scheme A is ₹45000. This information is not necessary to answer the question because we can calculate the amount invested in Scheme B using either statement I or statement II.
Therefore, the information in statement III is not necessarily required and can be dispensed with. Hence, the answer is E: Either I or II.
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Direction: In these questions, questions are given followed by informa...
Question: What is the amount invested in Scheme B?
I. The amounts invested in Schemes A and B are in the ratio of 2 : 3.
II. The amount invested in Scheme A is 40% of the total amount invested.
III. The amount invested in Scheme A is ₹45000.
Solution:
To find the amount invested in Scheme B, we need information about either the amount invested in Scheme A or the total amount invested. Let's analyze each statement to determine which one can be dispensed with.
I. The amounts invested in Schemes A and B are in the ratio of 2 : 3.
This statement gives us the ratio of the amounts invested in Schemes A and B. However, it does not give us any information about the actual amounts invested. Therefore, we cannot use this statement alone to determine the amount invested in Scheme B.
II. The amount invested in Scheme A is 40% of the total amount invested.
This statement gives us the percentage of the total amount invested that is invested in Scheme A. If we know the total amount invested, we can easily calculate the amount invested in Scheme A. From there, we can use the ratio given in Statement I to calculate the amount invested in Scheme B. Therefore, we need Statement II to answer the question.
III. The amount invested in Scheme A is ₹45000.
This statement gives us the actual amount invested in Scheme A. If we know the total amount invested, we can use Statement II to calculate the amount invested in Scheme B. Alternatively, if we know the amount invested in Scheme A and the ratio given in Statement I, we can also calculate the amount invested in Scheme B. Therefore, we need Statement III to answer the question.
Conclusion:
We need information from both Statements II and III to answer the question. Statement I is not necessarily required and can be dispensed with. Therefore, the correct answer is option 'E' - Either I or II.
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