Question: Mr. Duggal invested Rs. 20000 with rate of interest at 20% per annum. The interest compounded half-yearly for first year and in the next year it was compounded yearly. What will be the total interest earned at the end of two years?
Options:
A) Rs. 8800
B) Rs. 9040
C) Rs. 8040
D) Rs. 9800
E) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- Amount = Principal $ {{( 1+\frac{Rate}{100} )}^{Time}} $
$ =20000{{( 1+\frac{10}{100} )}^{2}}( 1+\frac{20}{100} ) $
[rate of interest for the first year = 10%, Time = 2 half- years]
$ =( 20000\times \frac{11}{10}\times \frac{11}{10}\times \frac{6}{5} )=Rs\text{.}29040 $
$ \therefore $ $ CI=Rs\text{.}(29040-20000)=Rs.9040 $