Quantitative Aptitude Ques 278

Question: On what sum of money will the difference between simple interest and compound interest for 2 yr at 5% per annum be equal to Rs. 63?

Options:

A) Rs. 24600

B) Rs. 24800

C) Rs. 25200

D) Rs. 25500

Show Answer

Answer:

Correct Answer: C

Solution:

  • According to the question, $ P[ {{( 1+\frac{r}{100} )}^{n}}-1 ]-\frac{P\times r\times t}{100}=63 $

$ \Rightarrow $ $ P[ {{( 1+\frac{5}{100} )}^{2}}-1 ]-\frac{10P}{100}=63 $

$ \Rightarrow $ $ P( \frac{11025-10000}{10000} )-\frac{10P}{100}=63 $

$ \Rightarrow $ $ \frac{1025P}{10000}-\frac{10P}{100}=63 $

$ \Rightarrow $ $ \frac{1025P-1000P}{10000}=63 $

$ \Rightarrow $ $ 25P=Rs.,630000 $

$ \Rightarrow $ $ P=\frac{630000}{25}=Rs.,25200 $