What was the total compoind interest on a sum after three years ?
I. The intereset after one year was Rs. 100/-and the sum was Rs.1,000/-.
II. The difference between simple and compound intereset on a sim of Rs. 1,000/-at end of two years was Rs.10/-.

Options

A. if the data in Statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer to question.
B. if the data in statement Ii alone are sufficient to answer the questin, while the data in statemetn I alone are not suffcient to answer the question.
C. if the data wither in statement I alone or in statement II alone are sufficient to answer the question.
D. if the data event in both the statements I and II together are necessary to answer the question.

Answer

C

Explanation

From the statement I.
`r=(100xx100)/(1000)=100%`
Thus we have,
P=Rs. 100,r=10%,t=3 years
Hence, C.I. can be determined
From the statement II.
`S.I. =(1000xxrxx2)/(100)=20r`
`C.I.=1000[(1+(r)/(100))^(2)-1]`
`thereforeC.I.-S.I.=1000[(200r+r^(2))/(10000)]-20r`
`implies2000r+r^(2)-200r=100" "implies" "r=10`
Hence, C.I. can be determined