In how many years will ₹ $2,000$ yield ₹ $662$ as compound interest at $10 \%$ per annum compounded annually?

If the compound interest on a certain sum for $2$ $years$ at $3 \%$ per annum is $Rs. 101.50$,then the simple interest (in $Rs.$) on the same sum at the same rate and for the same time will be:

$A$ man borrows ₹ $3825$ to be paid back with compound interest at the rate of $4 \%$ per annum by the end of $2$ years in two equal yearly instalments. How much will be each instalment (in ₹)?

$A$ sum of money is paid back in two annual instalments of ₹ $17,640$ each,allowing $5 \%$ compound interest compounded annually. The sum borrowed was (in ₹):

$A$ sum of money placed at compound interest doubles itself in $5$ years. It will amount to eight times itself at the same rate of interest in (in $years$):

$A$ sum of money lent at compound interest amounts to ₹ $1460$ in $2$ years and to ₹ $1606$ in $3$ years. The rate of interest (in $\%$) per annum is: