₹ $3757$ 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 ₹) 

What would be the compound interest (In ₹) accrued on an amount of ₹ $7,400$ @ $13.5$ $p.c.p.a.$ at the end of two years? (rounded off to two digits after decimal)

The least number of completed years in which a sum of money put out at $20 \%$ $C.I.$ will be more than doubled is

A sum of $Rs. 1000$ after $3 \,years$ at compound interest becomes a certain amount that is equal to the amount that is the result of a $3 \,year$ depreciation from $Rs. 1728$. Find the difference between the rates (In $\%$) of $C.I.$ and depreciation? (Given $C.I.$ is $10 \%$ $p.a.$)

The value of a machine depreciates at the rate of $12$ $per$ $cent$ per annum. It was purchased $3$ $years$ ago. Its present value is $Rs. 29644.032$, what was the purchase price (In $Rs.$) of the machine?

The compound interest (In ₹) on ₹ $6250$ at $12 \%$ per annum for $1$ year, compounded half-yearly is