$A$ sum put out at $4 \%$ compound interest payable half-yearly amounts to ₹ $6632.55$ in $1 \frac{1}{2}$ years. The sum (in ₹) is

$A$ man borrows money at $3 \%$ per annum interest payable yearly and lends it immediately at $5 \%$ interest (compound) payable half-yearly and thereby gains ₹ $330$ at the end of the year. The sum borrowed (in ₹) is

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 $4 \%$ per annum.

The compound interest (in ₹) on ₹ $2000$ at $5 \%$ per annum,compounded yearly,for $2$ years is

₹ $6,100$ was partly invested in Scheme $A$ at $10 \%$ p.a. compound interest (compounded annually) for $2$ years and partly in Scheme $B$ at $10 \%$ p.a. simple interest for $4$ years. Both the schemes pay equal interests. How much was invested (in ₹) in Scheme $A$?

The difference between the compound interest and simple interest on a certain sum at $3 \%$ per annum for $3$ years is ₹ $27.27$. The sum is (in ₹):