Question: A man gets a simple interest of Rs. 1000 on a certain principal at the rate of 5% per annum in 4 yr. What compound interest will the man get on twice the principal in 2 yr at the same rate?
Options:
A) Rs. 1050
B) Rs. 1005
C) Rs. 1025
D) Rs. 1125
E) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- Case I Principal $ =\frac{SI\times 100}{Time\times Rate} $
$ =\frac{1000\times 100}{4\times 5}=Rs.,5000 $
Case II Principal = Rs. 10000
$ \therefore $ $ CI=P[ {{( 1+\frac{Rate}{100} )}^{Time}}-1 ] $
$ =10000[ {{( 1+\frac{5}{100} )}^{2}}-1 ] $
$ =10000\times [ {{( \frac{21}{20} )}^{2}}-1 ] $
$ =10000\times \frac{41}{400}=Rs.,1025 $