Question: A man gets a simple interest of Rs. 1000 on a certain principle at the rate of 5% per annum in 4 yr. What compound interest will the man get on twice the principal in two years at the same rate?
Options:
A) Rs. 1050
B) Rs. 1005
C) Rs. 11025
D) Rs. 10125
E) None of these
Show Answer
Answer:
Correct Answer: E
Solution:
- Principal $ =\frac{SI\times 100}{Time\times Rate}=\frac{1000\times 100}{4\times 5}=Rs\text{.5000} $
$ \therefore $ $ \text{CI=1000}{{( 1+\frac{5}{100} )}^{2}}-10000 $
$ =10000[ {{( \frac{21}{20} )}^{2}}-1 ] $
$ =10000\times ( \frac{21}{20}-1 )( \frac{21}{20}+1 ) $
$ =10000\times \frac{1}{20}\times \frac{41}{20}=Rs\text{.1025} $