Question: If the simple interest on a sum of money for 2 yr at 6% per annum is Rs. 90, then what is the compound interest on the same sum at the same rate and for the same time?
Options:
A) Rs. 84.40
B) Rs. 81.20
C) Rs. 86.30
D) Rs. 85.60
E) None of these
Show Answer
Answer:
Correct Answer: E
Solution:
- Let the sum of money be Rs. x.
Then, $ SI=\frac{x\times 2\times 6}{100}=90 $
$ \Rightarrow $ $ x=\frac{9000}{12}=750 $
Amount $ =750{{( 1+\frac{6}{100} )}^{2}} $
$ =750( \frac{53}{50} )( \frac{53}{50} )=Rs.842.7 $
$ \therefore $ Compound interest $ =842.7-750=Rs.92.7 $