In how many years, will a sum of $₹1600$ Will amount to $₹1852.25 \mathrm{P}$ At the rate of $10\%$ Per annum compounded half-yearly?

The simple interest on a certain sum at a certain rate in $3$ years are $\mathrm{Rs}.78$ and the compound interest in $2$ years are $\mathrm{Rs}.53.04,$ find the rate.