Dr. Lal and Jain Solutions for Exercise 1: Exercise 13

The simple interest on a certain sum at a certain rate in $3$ years are $\mathrm{Rs}.78$ and the compound interest in $2$ years are $\mathrm{Rs}.53.04,$ find the rate.

A certain sum put out at compound interest amounts to $Rs$ $8820$ in $3$ years and to $Rs$ $9261$ in $4$ years. Find the rate.

Find the difference between Compound Interest and Simple Interest on $Rs$ $1000$ in $3$ years at $10\%$ yearly.

The compound interest on a certain sum as $5\%$ in $\frac{3}{2}$ years are $\mathrm{Rs}.91.50.$ Find the simple interest.

A sum of money placed at compound interest doubles itself in $4$years. In how many years will it amount to eight times itself?

$Rs$$7500$ is borrowed at. $C.I$ at the rate of $4\%$ per annum. What will be the amount to be paid after  $6$ months, if interest is compound quarterly?

If the difference between $C.I$ and.$S.I$ on a certain sum of money for three years at $5\%$ per annum is $Rs. 122$, find the sum.

Find the difference between $C.I$ and.$S.I$ on Rs. $8000$ for $3$ years at $2.5\%$ per annum.