If $64000$ is deposited at $5 \%$ compound interest for a period of $18$ months, interest being compounded half-yearly, find the amount.

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?

Divide $Rs. 2602$ between $X$ and $Y$, so that the amount of $X$ after $7 \,yr$ is equal to the amount of $Y$ after $9 \,yr$, the interest being compounded at $4 \%$ pa.

Aditya invested certain amount in two different schemes $A$ and $B$. Scheme $A$ offer $S.I$ @ $12$ $p.c.p.a.$ and scheme $B$ offer $C.I.$ @ $10$ $p.c.p.a.$ Interest accured on the amount invested in scheme $A$ in $2$  years was $Rs. 3600$ and the total amount invested was $Rs. 35000$. What was the interest accured on the amount (In $Rs.$) invested in scheme $B$?

The difference between the compound interest and simple interest on a certain sum at $5 \%$ for $2$ years is ₹ $1.50$. The sum is (In ₹) 

The $S.I.$ is $Rs. 7200$ on $12$ $p.c.p.a.$ for $6$ years on a sum. What is $C.I.$ (In $Rs.$) on $5$ $p.c.p.a$ for $2$ years?