Question: The difference between compound interest and simple interest on an amount of Rs. 15000 for 2 yr is Rs. 96. What is the rate of interest per annum?
Options:
A) 8%
B) 10%
C) 12%
D) Cannot be determined
E) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- $ [ 15000\times {{( 1+\frac{R}{100} )}^{2}}-15000 ]-( \frac{15000\times R\times 2}{100} )=96 $
$ \Rightarrow $ $ 15000[ {{( 1+\frac{R}{100} )}^{2}}-1-\frac{2R}{100} ]=96 $
$ \Rightarrow $ $ 15000[ \frac{(100+R^{2})-10000-200R}{10000} ]=96 $
$ \Rightarrow $ $ R^{2}=\frac{96\times 2}{3}=64 $
$ \Rightarrow $ $ R=8 $
$ \Rightarrow $ R=8%