The compound interest on $₹ 1,800$ at $10 \%$ per annum for a certain period of time is $₹ 378$. Find the time in years.

What sum will give ₹ $244$ as the difference between simple interest and compound interest at $10 \%$ per annum in $1 \frac{1}{2}$ years,compounded half-yearly?

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

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:

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.

An amount of ₹ $8000$ was deposited at simple interest for $3$ years at $7.5$ $\%$ per annum. How much more would have been gained (in ₹) had it been deposited at the same rate per cent compound interest?