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Direction: The following question are accompanied by two statements I and II. You have to determine which statement is/are sufficient to answer the question.
Q. The difference between the simple interest and the compound interest on a sum of money at the end of four years is Rs. 1282. Find the sum.
I. Amount of simple interest accrued after four years is Rs. 4000.
II. Rate of interest is 10% per annum.
  • a)
    If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
  • b)
    If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
  • c)
    If the data either in statement I alone or in statement II alone are sufficient to answer the question.
  • d)
    If the data even in both the statements I and II together are not sufficient to answer the question.
  • e)
    If the data in both the statements I and II together are necessary to answer the question.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Direction: The following question are accompanied by two statements I ...
From I alone
SI for 4 years = 4000 rs
CI for 4 years = 4000+1282 = 5282 rs
(P×R×4)/100 = 4000 rs------------(1)
[P{1+(r/100)}4 -P] = 5282---------(2)
two equation in two variable we can find the value of P.
Hence one alone is also sufficient.
From II alone ,
Let the sum be P
⇒  = 1282
⇒ p = 20000
II alone is also sufficient.
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Community Answer
Direction: The following question are accompanied by two statements I ...
Understanding the Problem
The question asks for the sum of money based on the difference between simple interest (SI) and compound interest (CI) after four years, which is given as Rs. 1282.
Statement I Analysis
- Simple Interest Accrued: Rs. 4000 after four years.
- Formula for Simple Interest: SI = Principal * Rate * Time / 100
- Implication: Knowing SI allows us to find the principal if we have the rate.
Statement II Analysis
- Rate of Interest: 10% per annum.
- Compound Interest Relation: CI can be computed using the formula CI = Principal * (1 + Rate/100)^Time - Principal.
- Difference Calculation: Given SI and the rate, we can find CI and thus derive the principal.
Combining Both Statements
- Using Statement I:
- SI = 4000.
- Rate from Statement II = 10%.
- We can calculate the principal using SI formula:
Principal = SI * 100 / (Rate * Time) = 4000 * 100 / (10 * 4) = Rs. 10000.
- Using Statement II:
- We can compute CI using the principal derived from SI.
- The difference between SI and CI after four years confirms the given difference (Rs. 1282).
Conclusion
Both statements individually provide sufficient data to derive the principal. Therefore, either statement can lead to the answer:
- Correct Answer: Option 'C' (either statement alone is sufficient).
This illustrates how each statement aids in finding the sum independently, confirming their sufficiency.
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Direction: The following question are accompanied by two statements I and II. You have to determine which statement is/are sufficient to answer the question.Q. The difference between the simple interest and the compound interest on a sum of money at the end of four years is Rs. 1282. Find the sum.I. Amount of simple interest accrued after four years is Rs. 4000.II. Rate of interest is 10% per annum.a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.b)If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.c)If the data either in statement I alone or in statement II alone are sufficient to answer the question.d)If the data even in both the statements I and II together are not sufficient to answer the question.e)If the data in both the statements I and II together are necessary to answer the question.Correct answer is option 'C'. Can you explain this answer?
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Direction: The following question are accompanied by two statements I and II. You have to determine which statement is/are sufficient to answer the question.Q. The difference between the simple interest and the compound interest on a sum of money at the end of four years is Rs. 1282. Find the sum.I. Amount of simple interest accrued after four years is Rs. 4000.II. Rate of interest is 10% per annum.a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.b)If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.c)If the data either in statement I alone or in statement II alone are sufficient to answer the question.d)If the data even in both the statements I and II together are not sufficient to answer the question.e)If the data in both the statements I and II together are necessary to answer the question.Correct answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Direction: The following question are accompanied by two statements I and II. You have to determine which statement is/are sufficient to answer the question.Q. The difference between the simple interest and the compound interest on a sum of money at the end of four years is Rs. 1282. Find the sum.I. Amount of simple interest accrued after four years is Rs. 4000.II. Rate of interest is 10% per annum.a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.b)If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.c)If the data either in statement I alone or in statement II alone are sufficient to answer the question.d)If the data even in both the statements I and II together are not sufficient to answer the question.e)If the data in both the statements I and II together are necessary to answer the question.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: The following question are accompanied by two statements I and II. You have to determine which statement is/are sufficient to answer the question.Q. The difference between the simple interest and the compound interest on a sum of money at the end of four years is Rs. 1282. Find the sum.I. Amount of simple interest accrued after four years is Rs. 4000.II. Rate of interest is 10% per annum.a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.b)If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.c)If the data either in statement I alone or in statement II alone are sufficient to answer the question.d)If the data even in both the statements I and II together are not sufficient to answer the question.e)If the data in both the statements I and II together are necessary to answer the question.Correct answer is option 'C'. Can you explain this answer?.
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