If $Rs. 3000$ amounts to $Rs. 4320$ at compound interest in a certain time,then what will $Rs. 3000$ amount to in half of that time (in $Rs.$)?

$A$ deposited $Rs. 6000$ in a bank at $5 \%$ per annum simple interest. $B$ deposited $Rs. 5000$ at $8 \%$ $p.a.$ compound interest. After $2$ years,the difference between their interests (in $Rs.$) will be:

An amount of ₹ $8000$ was deposited at simple interest for $3$ years at $7.5$ $\%$ per annum. How much more would have been gained (in ₹) had it been deposited at the same rate per cent compound interest?

If the compound interest on a certain sum of money for $2$ years is $Rs. 164$ whereas the simple interest for $3$ years at the same rate is $Rs. 240$ on the same sum,find the sum (in $Rs.$).

If a sum of money at compound interest amounts to thrice itself in $3$ years,then in how many years will it be $9$ times itself?

Sonika invested an amount of ₹ $5800$ for $2$ years. At what rate of compound interest (in $\% \text{ p.a.}$) will she get an amount of ₹ $594.50$ as interest at the end of two years?