$A$ 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 ₹)?

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

The difference between the compound and simple interest on a sum of money for $2$ years at $6 \frac{1}{4} \%$ per annum is $Rs. 10$. The sum (in $Rs.$) is

The sum for $2$ years gives a compound interest of ₹ $3225$ at the rate of $15 \%$ per annum. The principal amount is (in ₹):

₹ $6,100$ 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 $A$?

If the difference between the compound interest and simple interest on a sum of money for $3$ years is ₹ $186$,find the sum of money (in ₹) if the rate of interest in both cases is $10 \%$.