Maharashtra Board Solutions for Exercise 2: Practice Set 14.2

A shepherd has $200$ sheep with him. If the increase in number of sheep is $8\%$ every year, then after $3$ years the number of sheep with him will be $k$. Now, find the value of $k$.

The cost price of a machine is $₹250000$. If the rate of depreciation is $10\%$ per year, then the depreciation in price of the machine after two years is $₹k$. Find the value of $k$.

The amount of a certain principal after two years is $₹4036.80$ at the rate of $16\%$ per annum. If the compound interest is $₹k$, then find the value of $k$.

A loan of $₹15000$ was taken on compound interest. If the rate of compound interest is$12\%$ per annum, then the amount to settle the loan after $3$ years is $₹k.92$. Find the value of $k$.

A principal amounts to $₹13924$ in $2$ years by compound interest at $18\%$ per annum. If the principal in $₹k$, find the value of $k$.

The population of a suburb is$16000$. The rate of increase in the population is $r\%$. If the population after two years is $17640$, then find the value of $r$.

In how many years $₹700$ will amount to $₹847$ at a compound interest rate of $10\%$ per annum.

If the difference between simple interest and compound interest on $₹20000$ at $8\%$ per annum is $₹k$ after two years, then find the value of $k$.