Quantitative Aptitude Ques 2416

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%