Find the least number of complete years in which a sum of $Rs. 1500$ at $25 \%$ compound interest will be more than double.

The compound interest (in ₹) on ₹ $12000$ for $9$ months at $20 \%$ per annum,interest being compounded quarterly,is

$A$ 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 ₹ $12500$ is deposited for a period of $2$ years at an interest rate of $4 \%$ per annum. Find the difference between the simple interest and the compound interest (in ₹) for the deposit.

In how many years will a sum of ₹ $800$ at $10 \%$ per annum compounded semi-annually become ₹ $926.10$?

$A$ 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 $Rs.$)