Simple Interest and Compound Interest

A scheme invests $₹ 1000$ at simple interest rate of $5\%$on the condition that interest will be added to the principal after $10$$\mathrm{yr}$. In how many years will it amount to ₹$2000$?

What will be the amount if a sum of $₹ 10,000$ is placed at CI for $3 \mathrm{yr}$ while rate of interest for the first, second, and third years is $10 \%, 5 \%,$and $2\%$, respectively?

If in a certain time period, $₹ 10,000$ amount to $₹160,000$ at CI. What is the amount in half at that time if principal is ₹ $10,000$?

A sum of ₹$6600$was taken as a loan. This is to be repaid in two annual installments. The rate of interest is $20\%$, which compounded annually. Find the value of each installment.

A sum is invested for $\mathrm{3 }\mathrm{yr}$ compounded at $5\%, 10\%,$and $20\%$ per annum, respectively. In $3\mathrm{yr}$, if the sum amounts to ₹ $1386$ , then find the sum.

If a sum on CI becomes three times in $4\mathrm{yr}$, then with the same interest rate, the sum will become $81$times in:

Anand borrows a certain sum from Manisha at a certain rate of SI for $2 \mathrm{yr}.$ He lends this sum to Sunita at the same rate of interest but compounded annually for the same period, that is, $2\mathrm{yr}$. At the end of $2\mathrm{yr}$, he receives $₹ 2400$ as compound interest, but paid $₹ 2000$ as simple interest. What is the rate of interest?

The interests in the first two successive years were $₹ 400$ and $₹ 420$, respectively, when a sum of money is invested at CI. Find the sum.

I get an annual income of ₹ $688.25$ from ₹$10,000$ invested partly at the rate $8\%$ per annum and partly by $5\%$ per annum at the SI. How much of my money is invested at the rate of $5\%$?

In $3\mathrm{yr}$, the difference between the simple and the compound interest on same principal amount at the rate of $20\%$ is $₹48$. Find the principal.

At the rate of $12\%$, the difference between SI and CI compounded annually on ₹ $5000$for$2 \mathrm{yr}$will be:

A man takes a loan of $₹ 10,000$ and pays back $₹13,310$ after $3 \mathrm{yr}$. What is the rate of $\mathrm{CI}$?

The difference between the CI and SI on a certain sum of money for $2\mathrm{yr}$ at $15\%$ per annum is $₹45$. Find the sum.

Asmita invests an amount of $₹9535$ at the rate of SI $4\%$ per annum. For how many years did she invest the amount to double her sum?

A money lender lent out $₹ 25,000$ in two parts, one at $8\%$ simple interest and the other at $8.5\%$ simple interest. If the total annual income on the amount is $₹ 2031.25$, then find the money lent at $8\%$.

The effective annual rate of interest corresponding to a CI rate of $8\%$ per annum payable half yearly is:

Anand borrowed a certain sum of money for $2\mathrm{yr}$ at $8\%$ per annum on SI and immediately lent it to Ravish but at CI and gained $₹16$. What amount did Anand borrow?

In the beginning of the year $2004 ,$ a person invests some amount in a bank. In the beginning of $2007 ,$ the accumulated interest is $10,000$ and in the beginning of $2010 ,$ the accumulated interest becomes $₹25,000$  The interest rate is compounded annually and the annual interest rate is fixed. The principal amount is:

A man borrows Rs. $4000$ from a bank at $7.5\%$ per annum compound interest. At the end of every year, he pays Rs.$1500$ as a part payment of loan and interest. How much does he still owe to the bank after 3 such instalments?

A sum of money becomes eight times in $3$ years. If the rate is compounded annually, in how much time will the same amount at the same compound rate become sixteen times?