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 $Rs.$)?

$A$ man borrows ₹ $4000$ from a bank at $7 \frac{1}{2} \%$ compound interest. At the end of every year,he pays ₹ $1500$ as part repayment of the loan and interest. How much does he still owe to the bank after three such instalments (in ₹)?

If the difference between the simple and the compound interest earned on a sum of money at the rate of $5$ $p.c.p.a.$ for $2$ $years$ is $Rs. 16$,find the principal (in $Rs.$).

If the compound interest on a certain sum of money for $3$ years at $5 \%$ p.a. is $Rs. 504.40$,find the corresponding simple interest. (In $Rs.$)

$A$ sum of ₹ $1260$ is borrowed from a money lender at $10 \%$ p.a. compounded annually. If the amount is to be paid back in two equal annual instalments,find out the annual instalment (in ₹).

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 $₹ 4,160$?