A man gave $50 \%$ of his savings of ₹ $84,100$ to his wife and divided the remaining sum among his two sons $A$ and $B$ of $15$ and $13$ years of age respectively. He divided it in such a way that each of his sons, when they attain the age of $18$ years, would receive the same amount at $5 \%$ compound interest per annum. The share of $B$ was (In ₹)

An amount of money at compound interest grows up to ₹ $3,840$ in $4$ years and up to ₹ $3,936$ in $5$ years. Find the rate of interest (In $\%$) 

A man gets a simple interest of $Rs. 1000$ on a certain principal at the rate of $5$ $p.c.p.a.$ in $4$ years. What compound interest (In $Rs.$) will the man get on twice the principal in two years at the same rate?

A man borrows money at $3 \%$ per annum interest payable yearly and lend it immediately at $5 \%$ interest (compound) payable half-yearly and thereby gains ₹ $330$ at the end of the year. The sum borrowed (In ₹) is

The difference between simple and compound interest compounded annually on a certain sum of money for $2$ years at $4 \%$ per annum is ₹ $8$. The sum is (In ₹)

What would be the compound interest (In $Rs.$) accrued on an amount of $Rs. 7850$ at the rate of $14$ $p.c.p.a.$ in $2$ years?