A sum of money is paid back in two annual instalments of ₹ $17,640$ each, allowing $5 \%$ compound interest compounded annually. The sum borrowed was (In ₹)

If the compound interest on a certain sum for $2$ years is ₹ $60.60$ and the simple interest is ₹ $60$, then the rate of interest per annum (In $\%$) is

The compound interest on a certain sum for $2$ years at $10 \%$ per annum is ₹ $525 .$ The simple interest (In ₹) on the same sum for double the time at half the rate per cent per annum is

If $Rs. 3000$ amounts to $Rs. 4320$ at compound interest in a certain time, then $Rs. 3000$ amount to what in half of the time (In $Rs.$) ?

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 $B$?

Raghu invested a certain sum in Scheme $X$ for $4$ years.Scheme $X$ offers simple interest at $12$ per cent pa for the firsttwo years and compound interest (compounded annually) at $20$ per cent pa for the next two years. The total interest earned by him after $4$ years is ₹ $11016 .$ What was the sum (In ₹) invested by Raghu in Scheme $X ?$