$A$ sum of money is borrowed and paid back in two annual instalments of ₹ $882$ each,with $5 \%$ compound interest per annum. The sum (in ₹) borrowed was:

₹ $800$ at $5 \%$ per annum compound interest amounts to ₹ $882$ in how many years?

$A$ deposited $Rs. 6000$ in a bank at $5 \%$ per annum simple interest. $B$ deposited $Rs. 5000$ at $8 \%$ $p.a.$ compound interest. After $2$ years,the difference between their interests (in $Rs.$) will be:

The difference between compound interest and simple interest on a sum for $2$ years at $10 \%$ per annum,when the interest is compounded annually,is ₹ $20$. If the interest were compounded half-yearly,the difference in the two interests (in ₹) will be:

If a sum of money compounded annually becomes $1.44$ times of itself in $2$ years,then the rate of interest per annum (in $\%$) is:

The value of a machine depreciates at the rate of $12\%$ 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?