Introduction to Compound Interest

A man took some loan from a bank at the rate of $8\%$ compound interest per annum, and he repaid the whole amount of the loan by paying $₹50000$ and $₹62640$ at the end of first year and second year, respectively. The sum of the loan (in $₹$) was :-

Sudhakar borrows the money at $9\%$ p.a. simple interest over $8$ years. He borrows $₹15000$ from a bank to renovate his house. What are his monthly repayments in $₹$?

Find the rate when a sum taken for $2$ years at $4\%$ per annum compounded half-yearly and the number of conversion times the interest is compounded.

What amount will Kamala pay at the end of $2$ years and $4$ months to clear the loan if she has borrowed $₹26400$ from a bank to buy a scooter at a rate of $15\%$ per annum compounded yearly?

Rakesh borrowed $₹12000$ from Prasad at $6\%$ per annum simple interest for $2$ years.What extra amount would Rakesh had to pay if he had borrowed this sum at $6\%$ per annum compounded annually,

An amount of $₹8000$ is kept at rate of $5\%$ per annum, for $2$ years compounded annually. Calculate the amount and the compound interest on the given sum. 

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 _____.

A man borrowed a sum of money at $5\%$ simple interest per annum and give the money to another person at $10\%$ compound interest and make a profit of $₹905$ in $3$ years. How much money in $₹$ did he borrow?

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 $\mathrm{5,06,000}.$

In compound interest, the principal remains constant for the whole period.

If the compound interest for $₹4000$ at the rate of $5\%$ for $2$ years is $₹k$, then find the value of $k$.

A man invests $₹ 46875$ at $4\%$p.a. compound interest for $3$ years. Calculate the interest for the first year.

Jacob deposited $₹9000$ in a bank which pays him $8\%$ interest per annum compounded quarterly. What is the amount which he received after $6$ months.

Find the amount he received on $₹3,20,000$ for one year at the rate of $20\%$ per annum if the interest rate is compounded quarterly.

Find the compound interest on $₹8000$ for $9$ months at $20\%$ per annum compounded quarterly.

Find the compound interest on $₹1,60,000$ for one year at the rate of $20\%$ per annum, if the interest is compounded quarterly.

If the amount when $₹1,25,000$ is invested for $9$ months at $8\%$ per annum, compounded quarterly is $₹ k$, find the value of $k$

A sum of money is invested at compound interest payable annually. The interest in two successive years is Rs. $225$and Rs.$240$respectively. Find the rate of interest.

Find the compound interest on $75000$ at $12\%$ p.a. for $9$ months, if the interest is compounded quarterly.

In how many years will $7500$ amount to $8748$ at $8\%$ p.a. interest compounded annually?