Question: Arvind deposited a sum of money with a bank on January 1, 2012 at 8% simple interest per annum He received an amount Rs. 3144 on August 7, 2012. The money he deposited with the bank was
Options:
A) Rs. 3100
B) Rs. 3000
C) Rs. 3080
D) Rs. 2500
Show Answer
Answer:
Correct Answer: B
Solution:
- Let the principle be P.
We have, r = 8% and t = 219 days
(till 7 August) $ =\frac{219}{365}yr $
Now, $ A=P( 1+\frac{r,t}{100} ) $
$ \Rightarrow $ $ 3144=P( 1+\frac{8}{100}\times \frac{219}{365} ) $
$ \Rightarrow $ $ 3144=P( 1+\frac{6}{125} ) $
$ \Rightarrow $ $ 3144=P( \frac{131}{125} ) $
$ \Rightarrow $ $ P=\frac{3144\times 125}{131}=3000 $