The simple interest on a sum is $$\frac{5}{9}$$ of the principal for 25 years. What is the rate (in percentage) of interest per annum?
Let principal amount = Rs. $$9x$$
=> Simple interest = $$\frac{5}{9}\times9x=Rs.$$ $$5x$$
Let rate of interest = $$r\%$$ and time period = 25 years
=> Simple interest = $$\frac{P\times R\times T}{100}$$
=> $$\frac{9x\times r\times25}{100}=5x$$
=> $$\frac{9r}{4}=5$$
=> $$x=\frac{5\times4}{9}=\frac{20}{9}\%$$
=> Ans - (C)
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