Quantitative Aptitude Ques 1995

Question: If the difference between the compound interest, compounded semi-annually and the simple interest on a sum at 10% per annum for one year is 25, then the sum is

Options:

A) Rs. 9000

B) Rs. 9500

C) Rs. 10000

D) Rs. 10500

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the sum be Rs. x. Then, $ A=x{{( \frac{200+10}{200} )}^{2}}=x\times \frac{441}{400} $ $ CI=\frac{441}{400}x-x=\frac{41}{400}x $ $ SI=\frac{x\times 10\times 1}{100}=\frac{x}{10} $ Now, $ CI-SI=\frac{41}{400}x-\frac{x}{10}=\frac{x}{400} $

$ \Rightarrow $ $ 25=\frac{x}{400} $

$ \Rightarrow $ $ x=25\times 400=Rs\text{. 10000} $