Compound Interest Questions

Two equal sums are invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The sum of interest obtained after 2 years from both schemes is Rs 3717. If both schemes have a 13% per annum interest rate, then what is the first-year interest (in Rs) for the simple interest scheme?

A bank offers $10\%$ compound interest per half year. A customer deposits $\text{Rs }3600$ each on $1^{\text{st}}\text{ January}$ and $1^{\text{st}}\text{ July}$ of a year. At the end of the year, the amount he would have gained by way of interest is:

The compound interest on a certain sum of money for $2$ years at $5\%$ is $\text{Rs. }3280$. Then the sum is:

The compound interest on $\text{Rs. }12,000$ for $9$ months at $20\%$ per annum, interest being compounded quarterly is:

Two equal sums are invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The sum of interest obtained after 2 years from both the schemes is ₹3717. If both schemes have a 13% per annum interest rate, then what is the first-year interest (in ₹) for the simple interest scheme?

Simple interest on a certain sum of money for 3 years at 10% per annum is half the compound interest on Rs 6000 for 2 years at 10% per annum. The sum placed on simple interest is:

A doctor borrowed $\text{₹}3,825$ and he returned the money in two equal yearly instalments. If the annual rate of compound interest (compounded annually) is $4\%$, then find the value of each instalment.

Simple interest on a certain sum of money for 3 years at 14% per annum is half the compound interest on Rs 10000 for 2 years at 10% per annum. The sum placed on simple interest is:

A sum becomes $\text{Rs. }13,520$ in $2$ years at $4\%$ per annum compound interest. Find the original sum.

What is the sum of money that becomes ₹4,840 at a 10% rate of compound interest (compounded annually) after two years?

A builder borrows ₹$2,550$ to be paid back with compound interest at the rate of $4\%$ per annum by the end of $2\text{years}$ in two equal yearly instalments. How much will each instalment be?

The difference between the compound interest and the simple interest on Rs. X at 8.5% per annum for 2 years is Rs. 65.025. What is the value of X?

In how much time (in years) will ₹8,000 amount to ₹9,159.20 at 14% per annum interest compounded half yearly?

An amount of \ 25,000$in$ 2$yearsatcompoundinterestcompoundedannually,iftheinterestrateforthesuccessiveyearsbe$ 4\%$and$ 5\%$ per annum respectively, is:

What would be the interest accrued in two years if $\text{₹}600$ is invested @ $10\%$ interest compounded annually?

The amount of money appreciates to ₹700 after 4 years and to ₹1000 after 8 years at a certain compound interest compounded annually. The initial amount of money was:

What would be the interest accrued in two years if ₹ $800$ is invested @ $10\%$ interest compounded annually?

Riya invests ₹ $10,000$ in a savings account that offers an annual compound interest rate of $8\%$, compounded yearly. How much money will she have in the account after $3$ years?

The difference between the compound interest (compounded yearly) and the simple interest for 2 years on a certain sum at 5% per annum is Rs. 25. The sum is:

If $\text{Rs. }1,500$ is invested at $5\%$ per annum compounded annually, what will be the total amount after $2\text{ years}$?

A sum of Rs. 10,000 amounts to Rs. 13,225 in 2 years at a certain rate percent per annum, when the interest is compounded annually. What will be the interest (in Rs.) on the same sum for the same time at the same rate, when the interest is compounded 8-monthly?