A sum of money is lent at simple interest and compound interest. The ratio between the difference of compound interest and simple interest of 3 years and 2 years is 34 : 11. What is the rate of interest per annum?

1
\(8\frac{3}{{11}}\)
2
\(7\frac{4}{{11}}\)
3
\(10\frac{2}{{11}}\)
4
\(9\frac{1}{{11}}\)

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