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Aman borrowed a certain sum from Mohan at a certain rate of simple interest for 2 years. He lent this sum to Sohan at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 3225 as compound interest but paid Rs. 3000 only as simple interest. Find the rate of interest. 
  • a)
    5%
  • b)
    10%
  • c)
    15%
  • d)
    20% 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Aman borrowed a certain sum from Mohan at a certain rate of simple int...
Let the sum be x
Simple interest on x for 2 years = Rs.3000
Simple interest = PRT/1000
 (1)
Compound Interest on x for 2 years = 3225 



Substituting the value of xR from (1) in (2), we get 
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Most Upvoted Answer
Aman borrowed a certain sum from Mohan at a certain rate of simple int...
Given:
- Aman borrowed a certain sum from Mohan at a certain rate of simple interest for 2 years.
- He lent this sum to Sohan at the same rate of interest compounded annually for the same period.
- At the end of two years, he received Rs. 3225 as compound interest but paid Rs. 3000 only as simple interest.

To find: The rate of interest

Solution:
Let the sum borrowed be P and the rate of interest be R.

According to the given information,
Simple interest for 2 years = P*R*2/100 = 3000
Compound interest for 2 years = P*(1+R/100)^2 - P = 3225

Dividing the second equation by the first equation, we get:
(1+R/100)^2 - 1 = 3225/3000
(1+R/100)^2 = 1.075
1+R/100 = √1.075
R/100 = √1.075 - 1
R = 100(√1.075 - 1)
R ≈ 15%

Therefore, the rate of interest is 15%.
Free Test
Community Answer
Aman borrowed a certain sum from Mohan at a certain rate of simple int...
3225-3000=225 ;
3000÷2=1500(for 1year) ;

225 is the 15% of 1500 ;
so rate of interest=15%
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Aman borrowed a certain sum from Mohan at a certain rate of simple interest for 2 years. He lent this sum to Sohan at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 3225 as compound interest but paid Rs. 3000 only as simple interest. Find the rate of interest.a)5%b)10%c)15%d)20%Correct answer is option 'C'. Can you explain this answer?
Question Description
Aman borrowed a certain sum from Mohan at a certain rate of simple interest for 2 years. He lent this sum to Sohan at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 3225 as compound interest but paid Rs. 3000 only as simple interest. Find the rate of interest.a)5%b)10%c)15%d)20%Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Aman borrowed a certain sum from Mohan at a certain rate of simple interest for 2 years. He lent this sum to Sohan at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 3225 as compound interest but paid Rs. 3000 only as simple interest. Find the rate of interest.a)5%b)10%c)15%d)20%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aman borrowed a certain sum from Mohan at a certain rate of simple interest for 2 years. He lent this sum to Sohan at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 3225 as compound interest but paid Rs. 3000 only as simple interest. Find the rate of interest.a)5%b)10%c)15%d)20%Correct answer is option 'C'. Can you explain this answer?.
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