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Directions: A question is followed by five statements given in five options. Read all the statements to find the answer for the given question and then answer accordingly that which statement given in options cannot give the answer alone.
Q. Find the value of ‘R’ if a certain amount is invested at ‘R’% annual rate of compound interest and interest amount received after 3 years is Rs 15250.
  • a)
    Simple interest amount on the same sum after 4 years at same rate of interest become Rs16000.
  • b)
    Difference between SI and CI on the same sum after 3 years at same rate of interest becomes Rs3250.
  • c)
    Compound interest amount of the same sum after 2 years at same rate of interest becomes Rs9000.
  • d)
    Same sum amounts to Rs31250 after 3 years after 3 years at same rate of compound interest.
  • e)
    Compound interest amount of double the sum after 3 years at same rate of interest becomes Rs30500.
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Directions: A question is followed by five statements given in five o...
Let invested sum = P
Interest amount after 3 years = P [(1 + R/100)3-1] = 15250 …………. (1)
Statement (a):
According to the statement:
(P x R x 4)/100=16000
PR = 400000 …………. (2)
From (1) and (2):
( P[(1+R/100)3-1])/PR = 15250/400000 = 61/1600
((1 + R/100)3 - 1)/R = 61/1600
1600(1 + R/100)3-1600 = 61R
(1 + R/100)3 = (61R + 1600)/1600 = 61R/1600+1
1+ R3/1003 + 3R/100 + (3R2)/1002 = 61R/1600+1
(R3 + 3R x 1002 + 300R2)/1003 = 61R/1600
(R3 + 3R x 1002 + 300R2)/1002 = 61R/16
16R3 + 480000R + 4800R2 = 610000R
16R2 + 480000 + 4800R = 610000
16R2 – 130000 + 4800R = 0
R2 – 8125 + 300R = 0
After solving:
R = 25
Statement (a) alone is sufficient.
Statement (b):
SI must be less than CI for same sum at same rate of interest.
SI amount after 3 years = 15250 – 3250 = Rs12000
According to the question:
According to the statement:
(P x R x 3)/100 = 12000
PR = 400000 …………. (3)
Since statement (2) and (3) are similar which means by using equations (1) and (3) we can calculate the value of ‘R’.
Statement (b) alone is sufficient.
Statement (c):
According to the question:
P[(1 + R/100)2 - 1]=9000…………….. (4)
From (1) and (4):
( P[(1 + R/100)3 - 1])/(P [(1 + R/100)2 - 1] ) = 15250/9000 = 61/36
[(1 + R/100)3 - 1]/[(1 + R/100)2 - 1] = 61/36
[{(1 + R/100) - 1}{(1 + R/100)2 + 1 + (1 + R/100) } ]/[{(1 + R/100) - 1}{(1 + R/100) + 1} ] = 61/36
((1 + R/100)2 + 1 + (1 + R/100))/((1 + R/100) + 1) = 61/36
36(1 + R/100)2 + 36 +3 6(1 + R/100) = 61(1 + R/100) + 61
36(1 + R/100)2 - 25(1 + R/100) - 25 = 0
36(1 + R/100)2 - 25(1 + R/100) - 25 = 0
36(1 + R/100)2 - 45(1 + R/100) + 20(1 + R/100) - 25=0
9(1 + R/100)[4(1 + R/100) - 5] + 5[4(1 + R/100) - 5] = 0
[4(1 + R/100) - 5][9(1 + R/100) + 5] = 0
[4(1 + R/100) - 5] = 0
1+ R/100 = 5/4 ⇒ R/100 = 1/4 ⇒ R = 25
[9(1 + R/100) + 5] = 0
1 + R/100 = -5/9 ⇒ R/100 = -14/9 ⇒ R = -1400/9(Invalid)
Statement (c) alone is sufficient.
Statement (d):
According to the question:
P(1 + R/100)3 = 31250……………(5)
From (1) and (5):
31250 – P = 15250
P = 16000
From equation (5):
16000(1 + R/100)3 = 31250
(1 + R/100)3 = 31250/16000 = 125/64 = (5/4)3
1+ R/100 = 5/4 ⇒ R/100=1/4 ⇒ R = 25
Statement (d) alone is sufficient.
Statement (e):
According to the question:
2P [(1 + R/100)3 - 1] = 30500
P [(1 + R/100)3 - 1] = 15250………….. (6)
Here equations (1) and (6) are similar which means we cannot determine the value of ‘R’.
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Directions: A question is followed by five statements given in five options. Read all the statements to find the answer for the given question and then answer accordingly that which statement given in options cannot give the answer alone.Q. Find the value of ‘R’ if a certain amount is invested at ‘R’% annual rate of compound interest and interest amount received after 3 years is Rs 15250.a)Simple interest amount on the same sum after 4 years at same rate of interest become Rs16000.b)Difference between SI and CI on the same sum after 3 years at same rate of interest becomes Rs3250.c)Compound interest amount of the same sum after 2 years at same rate of interest becomes Rs9000.d)Same sum amounts to Rs31250 after 3 years after 3 years at same rate of compound interest.e)Compound interest amount of double the sum after 3 years at same rate of interest becomes Rs30500.Correct answer is option 'E'. Can you explain this answer?
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Directions: A question is followed by five statements given in five options. Read all the statements to find the answer for the given question and then answer accordingly that which statement given in options cannot give the answer alone.Q. Find the value of ‘R’ if a certain amount is invested at ‘R’% annual rate of compound interest and interest amount received after 3 years is Rs 15250.a)Simple interest amount on the same sum after 4 years at same rate of interest become Rs16000.b)Difference between SI and CI on the same sum after 3 years at same rate of interest becomes Rs3250.c)Compound interest amount of the same sum after 2 years at same rate of interest becomes Rs9000.d)Same sum amounts to Rs31250 after 3 years after 3 years at same rate of compound interest.e)Compound interest amount of double the sum after 3 years at same rate of interest becomes Rs30500.Correct answer is option 'E'. 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 Directions: A question is followed by five statements given in five options. Read all the statements to find the answer for the given question and then answer accordingly that which statement given in options cannot give the answer alone.Q. Find the value of ‘R’ if a certain amount is invested at ‘R’% annual rate of compound interest and interest amount received after 3 years is Rs 15250.a)Simple interest amount on the same sum after 4 years at same rate of interest become Rs16000.b)Difference between SI and CI on the same sum after 3 years at same rate of interest becomes Rs3250.c)Compound interest amount of the same sum after 2 years at same rate of interest becomes Rs9000.d)Same sum amounts to Rs31250 after 3 years after 3 years at same rate of compound interest.e)Compound interest amount of double the sum after 3 years at same rate of interest becomes Rs30500.Correct answer is option 'E'. 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 Directions: A question is followed by five statements given in five options. Read all the statements to find the answer for the given question and then answer accordingly that which statement given in options cannot give the answer alone.Q. Find the value of ‘R’ if a certain amount is invested at ‘R’% annual rate of compound interest and interest amount received after 3 years is Rs 15250.a)Simple interest amount on the same sum after 4 years at same rate of interest become Rs16000.b)Difference between SI and CI on the same sum after 3 years at same rate of interest becomes Rs3250.c)Compound interest amount of the same sum after 2 years at same rate of interest becomes Rs9000.d)Same sum amounts to Rs31250 after 3 years after 3 years at same rate of compound interest.e)Compound interest amount of double the sum after 3 years at same rate of interest becomes Rs30500.Correct answer is option 'E'. Can you explain this answer?.
Solutions for Directions: A question is followed by five statements given in five options. Read all the statements to find the answer for the given question and then answer accordingly that which statement given in options cannot give the answer alone.Q. Find the value of ‘R’ if a certain amount is invested at ‘R’% annual rate of compound interest and interest amount received after 3 years is Rs 15250.a)Simple interest amount on the same sum after 4 years at same rate of interest become Rs16000.b)Difference between SI and CI on the same sum after 3 years at same rate of interest becomes Rs3250.c)Compound interest amount of the same sum after 2 years at same rate of interest becomes Rs9000.d)Same sum amounts to Rs31250 after 3 years after 3 years at same rate of compound interest.e)Compound interest amount of double the sum after 3 years at same rate of interest becomes Rs30500.Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
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