The population of a town increases by $5 \%$ every year. If the present population is $9261,$ what was the population $3$ years ago?

There is a $60 \%$ increase in an amount in $6$ years at simple interest. What will be the compound interest (in $Rs.$) on $Rs. 12,000$ after $3$ years at the same rate?

₹ $6,100$ was partly invested in Scheme $A$ at $10 \%$ p.a. compound interest (compounded annually) for $2$ years and partly in Scheme $B$ at $10 \%$ p.a. simple interest for $4$ years. Both the schemes pay equal interests. How much was invested (in ₹) in Scheme $A$?

The compound interest on a certain sum for $2$ years at $12 \%$ per annum,compounded annually is $Rs. 1272$. The simple interest (in $Rs.$) for that sum at the same rate and for the same period will be?

$A$ 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 ₹)?

Find the ratio of $S.I.$ and $C.I.$ on a certain sum of money at $5 \%$ per annum for $2$ years.