Multiple choice

Simple interest on a certain sum at the rate of $4.5\%$ per annum for $4$ years and $6$ years differs by Rs.$216$. The sum is -

  1. $Rs.2,400$
  2. $Rs.2,100$
  3. $Rs.3,900$
  4. $Rs.1,800$
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A Correct answer
Explanation

SI = (P * R * T)/100. Difference = (P * 4.5 * 6)/100 - (P * 4.5 * 4)/100 = 216. (P * 4.5 * 2)/100 = 216. 9P/100 = 216. P = 21600/9 = 2400.

AI explanation

The difference in simple interest for 6 years and 4 years is the interest for 2 years. Using the formula Simple Interest = (Principal * Rate * Time) / 100, the difference is calculated as (Principal * 4.5 * 2) / 100 = 216. This simplifies to 9 * Principal / 100 = 216, so Principal = 21600 / 9. The sum is Rs.2,400.

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