Quantitative Aptitude Ques 685

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} $