Multiple choice

A sum of money at simple interest amounts to Rs. $600$ in $2$ years and to Rs. $800$ in $4$ years. The sum is:

  1. $100$
  2. $200$
  3. $300$
  4. $400$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Simple interest for 2 years (from year 2 to 4) is 800 - 600 = 200. Interest for 2 years is 200, so interest for 2 years is 200. Amount at 2 years = P + 200 = 600, so P = 400.

AI explanation

The interest for the extra 2 years is 800 - 600 = 200, making the annual interest 100. The sum itself is found by subtracting two years of interest from the 2-year amount: 600 - 200 = 400. The sum is Rs. 400.