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Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.
Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.
Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.
Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.
Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.
Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.
Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.
- a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
- b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
- c)if both statements I and II together are needed to answer the question.
- d)if either the statements I alone or statement II alone is sufficient to answer the question
- e)if you cannot get the answer from the statements I and II together, but need even more data.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Each question below is followed by two statements A and B. You have to...
From I:
We know that
Amount on CI = P x (1 + r/100)t
⇒ 44100 = p x (1 + r/100)2 ------ (i)
From II:
We know that
Amount on SI = (P x r x t)/100 + P
⇒ 52800 = (P x 8 x 4)/100 + P
⇒ 52800 = 32P/100 + P
⇒ 52800 = (32P + 100P)/100
⇒ 132P = 5280000
⇒ P = 5280000/132
⇒ P = Rs.40000
From I and II:
Putting the value of P in equation (i)
44100 = 40000 x (1 + r/100)2
⇒ 44100/40000 = (1 + r/100)2
⇒ 441/400 = (1 + r/100)2
⇒ (21/20)2 = (1 + r/100)2
⇒ 21/20 = 1 + r/100
⇒ r/100 = 21/20 - 1
⇒ r = 100 x (21 - 20)/20
⇒ r = 5%
We know that, for three years
CI - SI = P x (r/100)2 x (300 + r)/100
= 40000 x (5/100)2 x (300 + 5)/100
= 40000 x (1/20)2 x 305/100
= 40000 x 1/400 x 305/100
= Rs.305
Hence, both statements I and II together are needed to answer the question.
We know that
Amount on CI = P x (1 + r/100)t
⇒ 44100 = p x (1 + r/100)2 ------ (i)
From II:
We know that
Amount on SI = (P x r x t)/100 + P
⇒ 52800 = (P x 8 x 4)/100 + P
⇒ 52800 = 32P/100 + P
⇒ 52800 = (32P + 100P)/100
⇒ 132P = 5280000
⇒ P = 5280000/132
⇒ P = Rs.40000
From I and II:
Putting the value of P in equation (i)
44100 = 40000 x (1 + r/100)2
⇒ 44100/40000 = (1 + r/100)2
⇒ 441/400 = (1 + r/100)2
⇒ (21/20)2 = (1 + r/100)2
⇒ 21/20 = 1 + r/100
⇒ r/100 = 21/20 - 1
⇒ r = 100 x (21 - 20)/20
⇒ r = 5%
We know that, for three years
CI - SI = P x (r/100)2 x (300 + r)/100
= 40000 x (5/100)2 x (300 + 5)/100
= 40000 x (1/20)2 x 305/100
= 40000 x 1/400 x 305/100
= Rs.305
Hence, both statements I and II together are needed to answer the question.
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Community Answer
Each question below is followed by two statements A and B. You have to...
Understanding the Problem
To find the difference between compound interest (CI) and simple interest (SI) on a sum at r% per annum after 3 years, we need sufficient information regarding the principal amount and the rate of interest.
Statement I Analysis
- The sum on compound interest amounts to Rs. 44100 after 2 years at r% per annum.
- Using the formula for compound interest, we can calculate the principal amount.
- Once we have the principal, we can compute the amount after 3 years to determine the CI.
- However, we still need the rate (r) to compare CI with SI.
Statement II Analysis
- The sum on simple interest amounts to Rs. 52800 at 8% per annum after four years.
- From this, we can calculate the principal amount using the SI formula.
- Knowing the principal and the rate (8%), we can find SI for any time duration.
- However, this statement does not provide information about the compound interest amount after 3 years.
Combining Both Statements
- Statement I gives us the amount after 2 years on CI, allowing us to calculate the principal and then the CI for 3 years.
- Statement II provides the principal amount and the rate for calculating SI but doesn't specify the compound interest.
- Together, they allow us to calculate both CI and SI, as we can derive the rate from Statement II and apply it in Statement I.
Conclusion
- Thus, both statements together provide the necessary information to solve for the difference between CI and SI after 3 years.
- Hence, the correct answer is option 'C': both statements I and II together are needed to answer the question.
To find the difference between compound interest (CI) and simple interest (SI) on a sum at r% per annum after 3 years, we need sufficient information regarding the principal amount and the rate of interest.
Statement I Analysis
- The sum on compound interest amounts to Rs. 44100 after 2 years at r% per annum.
- Using the formula for compound interest, we can calculate the principal amount.
- Once we have the principal, we can compute the amount after 3 years to determine the CI.
- However, we still need the rate (r) to compare CI with SI.
Statement II Analysis
- The sum on simple interest amounts to Rs. 52800 at 8% per annum after four years.
- From this, we can calculate the principal amount using the SI formula.
- Knowing the principal and the rate (8%), we can find SI for any time duration.
- However, this statement does not provide information about the compound interest amount after 3 years.
Combining Both Statements
- Statement I gives us the amount after 2 years on CI, allowing us to calculate the principal and then the CI for 3 years.
- Statement II provides the principal amount and the rate for calculating SI but doesn't specify the compound interest.
- Together, they allow us to calculate both CI and SI, as we can derive the rate from Statement II and apply it in Statement I.
Conclusion
- Thus, both statements together provide the necessary information to solve for the difference between CI and SI after 3 years.
- Hence, the correct answer is option 'C': both statements I and II together are needed to answer the question.
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Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer?
Question Description
Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer?.
Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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Here you can find the meaning of Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question.Find the difference between compound interest and simple interest on that sum at r% per annum after 3 years.Statement I: The sum on compound interest amounts to Rs.44100 at r% per annum after two years.Statement II: The sum on simple interest amounts to Rs.52800 at 8% per annum after four years.a)if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.b)if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.c)if both statements I and II together are needed to answer the question.d)if either the statements I alone or statement II alone is sufficient to answer the questione)if you cannot get the answer from the statements I and II together, but need even more data.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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