Question : The difference between compound interest and simple interest on an amount of Rs. 14,400 for 2 years is Rs. 3600. Find the rate of interest.
Option 1: 30%
Option 2: 35%
Option 3: 10%
Option 4: 50%
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Correct Answer: 50%
Solution :
Let the rate of interest be $r$.
Principal, $P$ = Rs. 14,400
Time = 2 years
Difference between Simple interest and compound interest $=P(\frac{r}{100})^2$
⇒ $3600 = 14400(\frac{r}{100})^2$
⇒ $(\frac{r}{100})^2=\frac{36}{144}$
⇒ $(\frac{r}{100})^2=(\frac{6}{12})^2$
⇒ $\frac{r}{100}=\frac{6}{12}$
$\therefore r=50\%$
Hence, the correct answer is 50%.
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