1) Find out the compound interest earned on an amount of Rs. $5000$ in $2$ years? I. The simple interest on the same amount at the same rate of interest in $5$ years is Rs. $2000$. II. The compound interest and the simple interest earned in $1$ year is the same. III. The amount becomed more than double on compound interest in $10$ years. A) I only B) I and II only C) II and III only D) I and III only E) None of these Answer: Option AExplanation:$P$ = Rs. $5000$ and $T=2$ years. I. $S.I.$ on Rs. $5000$ in $5$ years is Rs. $2000$. $\frac{5000\times R\times 5}{100}$ $=2000$ $\Rightarrow R=8$. Thus I only gives the answer . $\therefore$ Correct answer is (A).