Compound Interest

Calculate the amount on $₹25,000$ for $2$ years at $10\%$ per annum compounded annually.

What is the compound interest on $₹10,000$ for $3$ years at $5\%$ per annum compounded annually?

Find the amount when $₹4,000$ is invested for $2$ years at $20\%$ per annum compounded annually.

Calculate the compound interest on $₹7,000$ for $2$ years at $10\%$ per annum compounded annually.

A sum of money amounts to $₹7,260$ in 2 years at $10\%$ per annum compound interest. Find the principal.

Find the compound interest on $₹10,000$ for 6 months at $20\%$ per annum compounded quarterly.

Find the amount on $₹5,120$ for 3 years at $12.5\%$ per annum compounded annually.

The difference between the compound interest and the simple interest on a certain sum for $3$ years at $10\%$ per annum is $₹ 961$. Find the sum.

A man invested $₹ 5,000$ at compound interest. If the rates for the two successive years are $10\%$ and $20\%$, find the total interest.

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

The time period after which interest is calculated and added to the principal is called the:

What is the amount on $₹1,100$ for $1$ year at $10\%$ per annum, compounded annually?

If the rate of interest is $R\%$ per half-year, what is the equivalent annual rate of interest?

Find the compound interest on $₹1,000$ for $1$ year at $10\%$ per annum, compounded half-yearly.

Find the compound interest on $₹5,120$ for $3$ years at $12.5\%$ per annum compounded annually.

In how many years will $₹25,000$ amount to $₹31,250$ at $25\%$ per annum simple interest? (Note: Find time and then calculate the Compound Interest on $₹10,000$ for that time at $10\%$ p.a.)

A refrigerator is purchased for $₹18,000$. Its value depreciates at the rate of $5\%$ per annum. What will be its value at the end of $3$ years?

The value of a painting appreciates by $10\%$ in the first year and $20\%$ in the second year. If its value after $2$ years is $₹1,32,000$, find its original value.

A man borrows $₹10,000$ at $10\%$ compound interest. He pays back $₹2,000$ at the end of each year. How much does he owe at the beginning of the $3$rd year?

Calculate the compound interest on $₹10,000$ for $6$ months at $20\%$ per annum compounded quarterly.

The price of a certain book increases at the rate of $5\%$ per annum. If its present price is ₹$400$, find its price after $1$ year.

A farm produces $400\text{ kg}$ of grain. If production increases by $25\%$ next year, how much grain will be produced?

The population of a city was $10,000$. It increased by $10\%$ in the first year and decreased by $10\%$ in the second year. What is the population after $2$ years?

The value of a gym equipment depreciates at $15\%$ per year. If the equipment costs ₹$20,000$, find its value after $1$ year.

The value of an antique clock increases by $10\%$ every year. If its value after $3$ years is ₹$26,620$, what was its original value?

The population of a city increases by $4\%$ per annum. If the present population is $67,600$, what was it $2$ years ago?

A machine depreciates at the rate of $20\%$ p.a. for $2$ years and then $10\%$ p.a. for the third year. If the original cost was ₹$1,00,000$, find its value after $3$ years.

The population of a city is $10,00,000$. If the birth rate is $5\%$, the death rate is $2\%$, and $1\%$ of the population migrates out every year, find the population after $2$ years.

A tree grows such that its height at the end of a year is $1.1$ times the height at the beginning of the year. If the height increases by $21$ cm in $2$ years, what was the initial height?

The price of a refrigerator is $₹25,000$. Its value depreciates by $x\%$ p.a. If its value after $2$ years is $₹16,000$, find $x$.