EXERCISE

Calculate the amount and compound interest on

$₹10,800$ for $3$ years at $12\frac{1}{2}\%$ per annum compounded annually.

Calculate the amount and compound interest on

$₹18,000$ for $2\frac{1}{2}$ years at $10\%$ per annum compounded annually.

Calculate the amount and compound interest on
$₹62,500$ for 1 $\frac{1}{2}$ years at $8\%$ per annum compounded half-yearly.

Calculate the amount and compound interest on
$₹8,000$ for $1$ year at $9\%$ per annum compounded half-yearly.
(You could use the year by year calculation using $\mathrm{SI}$formula to verify).

The population of a place increased to $\mathrm{54,000}$ in $2003$ at a rate of $5\%$ per annum. Find the population in $2001$?

The population of a place increased to $\mathrm{54,000}$ in $2003$ at a rate of $5\%$ per annum. What would be its population in $2005$?

In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of $2.5\%$ per hour. Find the bacteria at the end of $2$ hours if the count was initially $\mathrm{5,06,000}.$

A scooter was bought at $₹\mathrm{42,000}.$ Its value depreciated at the rate of $8\%$ per annum. If its value after one year is $₹k$, then find the value of $k$.