What is the rate of interest (in $\%$) if simple interest earned on a certain sum for the $3^{rd}$ year is $₹ 2,000$ and compound interest earned in $2$ years is $₹ 4,160$?

If $64000$ is deposited at $5 \%$ compound interest for a period of $18$ months,interest being compounded half-yearly,find the amount.

Amit invested an amount of $Rs. 25000$ in a fixed deposit at a compound interest rate of $8 \%$ per annum for $2$ years. What amount (in $Rs.$) will Amit receive at the end of the period?

If the difference between the simple interest and compound interest earned on an amount at $15$ $p.c.p.a.$ at the end of $3$ years is $Rs. 595.35$,what is the amount (in $Rs.$)?

$A$ sum of $Rs. 8448$ is to be divided between $X$ and $Y$ who are respectively $18$ and $19 \,yr$ old,in such a way that if their shares be invested at $6.25 \%$ per annum at compound interest,they will receive equal amounts on attaining the age of $21 \,yr$. The present share of $X$ is (In $Rs.$)

On a certain principal,if the simple interest for two years is ₹ $1400$ and the compound interest for two years is ₹ $1449$,what is the rate of interest (in $\%$) ?