Interest Questions for CAT

Raju lent ₹ 400 to Ajay for 2 years, and ₹ 100 to Manoj for 4 years and received together from both ₹ 60 as interest. Find the rate of interest, simple interest being calculated.

What is the simple interest on a sum of ₹ 700 if the rate of interest for the first 3 years is $8 \%$ per annum and for the last 2 years is $7.5 \%$ per annum?

A sum of ₹ 600 amounts to ₹ 720 in 4 years at Simple Interest. What will it amount to if the rate of interest is increased by $2\%$?

Vinay deposited ₹ 8000 in ICICI Bank, which pays him $12 \%$ interest per annum compounded quarterly. What is the amount that he receives after 15 months?

Anand invested a certain amount of money at Simple Interest in IC bank at a rate of 15% per annum. After one year, he withdrew the funds and placed them in AX bank at Compound Interest for two years (annual compounding) at rate r. The interest earned after the first year was Rs 920, and after the second year, it was Rs 1012. How much did he initially deposit in IC bank?

Interest obtained on a sum of ₹ 5000 for 3 years is ₹ 1500. Find the rate percent.

An amount of ₹12,820 due 3 years hence, is fully repaid in three annual instalments starting after 1 year. The first instalment is $1/2$ the second instalment and the second instalment is $2/3$ of the third instalment. If the rate of interest is $10\%$ per annum, find the first instalment.

On a certain principal, the compound interest for the 2nd and 3rd year are ₹720 and ₹756, respectively. The interest accrued during the 4th year is closest to:

The compound interest on a specific amount for 2 years is 6000, and for 4 years it is 14000. What is the initial principal?

An amount of Rs 12000 is invested in Bank P at 6% simple interest for t years. On maturity, the total is deposited in Bank Q for 3 years at 5% simple interest. If the interests from P and Q are in the ratio 3:2, find the value of t.

Bablu borrows Rs. 1,000,000 from his friend Sergio at a simple interest rate of 10% per year. After spending 6 months making an investment decision, he invests this amount in a bank that provides 20% compound interest per year, compounded semi-annually. At the end of 3 years from the loan date, Bablu withdraws his investment from the bank and repays Sergio. What is the profit difference between the two friends after 3 years?

Slipkart, an online shopping platform, has introduced two schemes for customers during a sale on a washing machine priced at Rs. 15000. In scheme 1, the washing machine is sold at a 20% discount, while in scheme 2, there is a down payment of Rs. 5000 followed by three installments of Rs. 3000 each, payable annually. Assuming Slipkart invests its money at a compound interest rate of 10% compounded annually, which scheme is more profitable for them and by what amount at the end of three years?

A certain sum of money was lent under the following repayment scheme based on Simple Interest: - $8\%$ per annum for the initial 2 years - $9.5\%$ per annum for the next 4 years - $11\%$ per annum for the next 2 years - $12\%$ per annum after the first 8 years Find the amount which a sum of ₹ 9000 taken for 12 years becomes at the end of 12 years.

Find the effective annual rate corresponding to 10% per annum compounded half-yearly.

The effective annual rate corresponding to 15% per annum compounded quarterly is?

Pranay borrowed Rs 54,735 from Vinay at an interest rate of 30% for three years. He repaid the amount in three installments, making each payment at the end of each year. The three installments are in A.P., with the second installment being 40% less than the first. What is the average of the three installments? (Round to the nearest integer)

A person invests Rs 6000 at 5% SI and Rs 6000 at 5% CI for 3 years. Find the difference in the total interest earned.

A sum is invested at 12% CI compounded half-yearly. In how many years will it triple?

A sum of Rs 10000 becomes Rs 14641 in 3 years at compound interest, compounded annually. Find the rate.

At what rate per annum compounded annually will Rs 1600 amount to Rs 1852.20 in 2 years?