Quantitative Aptitude Ques 2470

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 $