Quantitative Aptitude Ques 2382

Question: A sum of money lent at compound interest for 2 yr at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly than if it was payable annually. The sum is

Options:

A) Rs. 10000

B) Rs. 20000

C) Rs. 40000

D) Rs. 50000

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the sum be Rs. x. Then, CI when compounded half-yearly $ =[ x\times {{( 1+\frac{10}{100} )}^{4}}-x ]=\frac{4641}{10000}x $ CI when compounded annually $ =[ x\times {{( 1+\frac{20}{100} )}^{2}}-x ]=\frac{11}{25}x $

$ \therefore $ $ \frac{4641}{10000}x-\frac{11}{25}x=482 $

$ \Rightarrow $ $ x=\frac{482\times 10000}{241}=Rs.,20000 $