The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?

The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?
1). $\frac{200}{7}$
2). $\frac{100}{7}$
3). $\frac{300}{7}$
4). $\frac{400}{7}$

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