Simple & Compound Interest Questions with Solutions
Simple interest is calculated only on the original principal, while compound interest is calculated on the principal plus interest already earned. Questions test the formulas SI = PRT/100 and A = P(1 + R/100)^n, the difference between CI and SI over two or three years, interest compounded half-yearly or quarterly, instalments, and the time needed for money to double or triple. Useful shortcuts include the two-year CI minus SI difference, which equals P(R/100)^2, and the effective-rate method, which treats two years of compounding at R% as a single percentage change. Connecting interest to successive percentage change makes most compound interest questions much faster than expanding the formula. Practise the simple and compound interest questions below. Each comes with a full solution and a shortcut where one applies.
- Q1.
The difference between the compound interest and the simple interest on ₹ 5,000 for 2 years at 8% per annum (compounded annually) is
A. ₹ 24B. ₹ 32C. ₹ 40D. ₹ 64mediumView solution › - Q2.
A sum of money was divided into 2 parts in the ratio 2 : 5. The first part was invested for 2 years at the annual interest rate of 20% compounded annually. At what rate of simple interest per annum must the second part be invested for 2 years, so that the interest earned in both cases is the same?
A. 10.2%B. 9.6%C. 8.8%D. Cannot be determinedmediumAsked in NIMCET 2025View solution ›