₹ $3757$ is to be divided between $A$ and $B$ such that $A's$ share at the end of $7$ years may be equal to $B$ 's share at the end of $9$ years. If rate per cent be $10 \%$ p.a. compound interest, $B$ 's share is (In ₹) 

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 $3 \,years$?

The difference between the $S.I.$ and $C.I.$ obtained on principal amount at $5$ $p.c.p.a.$ after $2$ years is $Rs. 35 .$ What is principal amount (In $Rs.$).

If the difference between $S.I.$ and $C.I.$ is $Rs. 25$ on $10000$ for $2$ years then what is rate of interest?

What would be the compound interest (In $Rs.$) accrued on amount of $Rs. 7400$ @ $13.5$ $p.c.p.a.$ at the end of $2$ years? (rounded off to two digits after decimal)

A certain sum of money at compound interest grows up to ₹ $12960$ in $2$ years and up to ₹ $13176$ in $3$ years. Find the rate per cent per annum.