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} $