CAT Simple and Compound Interest questions with solutions
Interest calculations and comparisons. 33 questions from our 2016–2025 CAT pattern papers. Each has the answer and a full solution.
CAT 2025
- For a certain principal lent out for 2 years at 12% per annum, the interest earned under annual compounding exceeds the interest earned under simple…
- ₹12,000 is invested for 2 years at 10% per annum. Find the positive difference (in ₹) between the compound interest (compounded annually) and the…
- The difference between the compound interest and the simple interest on a certain sum of money for 2 years at 8% per annum is ₹128. Find the sum (in…
CAT 2024
- A sum of ₹12,000 is invested at 10% p.a. compounded annually. Find the difference between the compound interest and the simple interest earned over 3…
- A sum of money is invested for 2 years. The compound interest (compounded annually) exceeds the simple interest for the same period and rate of 10%…
- Find the difference between the compound interest and the simple interest on a sum of Rs. 15,000 for 2 years at an annual rate of 8%.
CAT 2023
- A sum of money is invested for 2 years at 10% per annum. The difference between the compound interest and the simple interest earned is ₹210. Find…
- Find the difference between the compound interest and the simple interest on ₹8,000 at 10% per annum for 2 years.
- A sum of ₹4,000 is invested at 15% per annum. Find the positive difference (in ₹) between the compound interest and the simple interest earned on…
CAT 2022
- The difference between the compound interest and simple interest on a sum of ₹15,000 for 2 years at 8% per annum (compounded annually) is:
- A sum of ₹15,000 is invested at 8% per annum. Find the difference between the compound interest and the simple interest earned on this sum over 2…
- A sum of money is invested at 10% per annum. The difference between the compound interest (compounded annually) for 3 years and the simple interest…
CAT 2021
- A sum of money is invested at a certain rate of compound interest, compounded annually. The amount grows to ₹26,620 at the end of 2 years and to…
- A sum of money invested at compound interest (compounded annually) amounts to Rs 8,820 in 2 years and to Rs 9,261 in 3 years. What simple interest…
- A sum of ₹10,000 is invested at 20% per annum compounded half-yearly. What is the compound interest earned at the end of 1 year?
CAT 2020
- A sum of ₹5,000 is invested at compound interest, compounded annually, and grows to ₹6,050 in 2 years. What is the annual rate of interest?
- A sum of money triples itself in 8 years at a certain rate of simple interest. In how many years will it become 7 times itself, at the same rate of…
- What is the sum?
CAT 2019
- A sum of money invested at compound interest (compounded annually) amounts to ₹14,520 at the end of 2 years and to ₹15,972 at the end of 3 years.…
- A sum of ₹8,000 lent at simple interest earns an interest of ₹2,160 in 3 years. If the rate of interest were 2 percentage points higher, how much…
- What is the sum invested?
- A loan is repaid in two equal annual instalments of ₹12,100 each, the first paid one year after the loan is taken. If interest is charged at 10% per…
CAT 2018
- On a certain sum, the compound interest (compounded annually) for 2 years is ₹2,100, while the simple interest for the same period at the same rate…
- ₹12,300 is divided into two parts. The first part is lent at 10% per annum simple interest for 2 years and the second at 10% per annum compound…
- A sum of money earns Rs 420 as compound interest in 2 years at 10% per annum, compounded annually. What would be the simple interest (in Rs) on the…
- A loan of Rs 33,100 is to be repaid in three equal annual instalments, the first due one year after the loan is taken, at 10% per annum compound…
CAT 2017
- A sum invested at 20% per annum, compounded annually, earns Rs 512 more interest over 3 years than the same sum would earn at simple interest. Find…
- A sum invested at 12% per annum, compounded annually, earns Rs 144 more interest over 2 years than the same sum would earn at simple interest. Find…
- What is the sum invested (in ₹)?
CAT 2016
- The difference between the compound interest (compounded annually) and the simple interest on a certain sum for 3 years at 10% per annum is ₹620. The…
- A sum of money at simple interest amounts to ₹7,200 in 3 years and to ₹8,400 in 5 years. The rate of interest per annum is
- A sum of money earns simple interest and annually-compounded interest at 15% per annum for 2 years; the CI exceeds the SI by Rs 180. Find the sum.
- A loan of Rs 21,000 is to be repaid in two equal annual instalments, with interest at 10% per annum compounded annually. What is each instalment?
Other Quant topics
Time, Speed and Distance 38Time and Work 23Pipes and Cisterns 11Profit, Loss and Discount 42Mixtures and Alligation 35Ratio and Partnership 17Percentages 30Averages 19Permutations, Combinations and Sets 28Probability 20Logarithms and Indices 16Quadratic Equations and Polynomials 18Linear Equations 9Inequalities and Modulus 19Functions 22Maxima and Minima 11Progressions 29Remainders and Divisibility 15Number System 19Coordinate Geometry 29Triangles 24Circles 18Polygons and Quadrilaterals 12Mensuration 13