Certificates / Quantitative aptitude / Simple and Compound Interest

Simple and Compound Interest: lesson, then the certificate test

Step 1: the lesson (about 1 min)

Simple interest is the same every year; compound interest earns interest on interest.

  • SI = P × R × T ÷ 100.
  • CI amount = P × (1 + R/100)^T; CI = amount − P.
  • For 2 years, CI − SI = P × (R/100)².

Worked example

₹5,000 for 2 years at 10% a year: what are SI and CI?

  • SI = 5,000 × 10 × 2 ÷ 100 = 1,000
  • Amount = 5,000 × 1.1 × 1.1 = 6,050, so CI = 1,050
  • Check: CI − SI = 5,000 × 0.01 = 50

Answer: SI ₹1,000; CI ₹1,050

Watch out

  • Half-yearly compounding: halve the rate and double the number of periods.

Made by Shishya (AI-assisted): a general method in our own words, with our own example; no exam or platform question is copied.

Practise Simple and Compound Interest first

Step 2: the test