Monica deposited a total of $Rs. 10500$ with a bank in two different deposit schemes at $10 \%$ $p.a.$, interest being compounded annually. As per the schemes, she gets the same amount after $2 \,years$ on the first deposit as she gets after $3 \,years$ on the second deposit. How much money (In $Rs.$) did she deposit for $3 \,years$?

Aditya invest $Rs. 50,000$ in a fixed deposit at $10 \%$ $C.I.$ for $2$ years. At the end of $2$ years she put the money in another deposit at $12 \%$ $S.I.$ for $3$ years. What was the final value (In $Rs.$)  of the initial Investment?

What will be $C.I.$ (In $Rs.$) on an amount of $Rs. 10000$ at the rate of $20$ $p.c.p.a.$ in two years if the interest rate is compounded half yearly?

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?

What will be the compound interest (In ₹) on a sum of ₹ $1875$ after $2$ years if the rate of interest for the first year is $4 \%$ and that for the second year is $8 \% ?$