Applications of Compound Interest Formula

The annual rate of growth in population of a town is $10\%$. If its present population is $33275$, then the population of the town $3$ years ago was _____.

The value of a machine depreciates at the rate of $10\%$ per annum. Mr Agarwal buys a machine for $₹5,00,000$ . In how many years will its value be reduced to $₹3,64,500$?

Three years ago, the population of a city was $50000$. If the annual increase during three successive years is $5\mathrm{\%}$, $8\mathrm{\%}$ and $10\mathrm{\%}$ respectively, find the present population of the city.

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

The birth rate and death rate per year of a village are $6\%$ and $4\%,$ respectively. If the total population of the village is $40,000,$ find the population after two years.

Ram deposited $₹100$ rupees in bank at $10\%$ compound interest. He wants to extract all the money after $2$ years. How much amount he will receive?

The value of a machine is $₹ 500000$. If its value is depreciating at $10\%$ every year, in how many years will its values reduce to$₹ 364500$? 

The cost of a watch depredates by $₹360$during the second year of purchase and by $₹324$ during the third year of the purchase. Find the price of the watch at the end of $3^{\mathrm{rd}}$ year where the purchase price of watch is $₹4000$ and rate of depreciation is $10\%$.

The cost of a watch depreciates by $₹ 360$ during the second year of purchase and by $₹ 324$ during the third year of the purchase. Find 
the purchase price.

The cost of a watch depredates by$₹ 360$ during the second year of purchase and by$₹ 324$ during the third year of the purchase. Find the rate of depreciation per year.

If the value of a machine worth $₹ 48000$ depreciates to $₹ 40627.20$ in $2$ years, find the rate of depreciation. 

The value of property depreciates by $15\%$ every year, If the present value of a property is $₹ 289000$, find its value  after $2$ years. 

The value of property depreciates by $15\%$ every year, If the present value of a property is $₹$ $289000$, find its value  $2$ years ago.

The value of a scooter is $₹ 32000$. Its value depreciates by $5\%$ every year. Find the depreciation in its value in the next $3$ years. 

A T.V. was purchased two years ago. Its value has depreciated at the rate of $5\%$ per year. If the present value of the T.V is$₹ 3610$, find its value at the time of purchase. 

 The present value of a machine is$₹ 8000$. If its value depreciates at $3℅$ p.a., find the depreciated value of the machine after $2$ years. 

The population of a metro was $8000000$, three years ago. If it has increased at the rate of $125$ per thousand every year, find the present population of the metro. 

The present population of city is $1525000.$ If the population increases at $8\%$ in $5$ years, find the population of the city after $10$ years. 

The population of a village decreased during the last two years at $4\%$ per year. If its present population is $6912$, find the population $2$years ago. 

The present population of a city is $1050000$. If the population of the city increases at the rate of $10\%$per year, find the population of the city after $4$ years.